finite element method for navier stokes (66 Ergebnisse)

Taschenbuch. Zustand: Neu. Neuware -A multigrid solver for a stabilized finite element discretization of the Stokes problem.- A-posteriori error estimates. Adaptive local mesh refinement and multigrid iteration.- Continuation and multi-grid for nonlinear elliptic systems.- Magnetohydrodynamic equilibrium calculations using multigrid.- On the combination of the multigrid method and conjugate gradients.- Multi-level approaches to discrete-state and stochastic problems.- Multigrid method for nearly singular and slightly indefinite problems.- An adaptive multi-grid scheme for simulation of flows.- Multigrid methods for calculating the lifting potential incompressible flows around three-dimensional bodies.- Deffect correction and higher order schemes for the multi grid solution of the steady Euler equations.- Multigrid algorithms for compressible flow calculations.- Bus coupled systems for multigrid algorithms.- On multigrid and iterative aggregation methods for nonsymmetric problems.- The multigrid method on parallel processors.- On the treatment of singularities in the multigrid method.- A comparison of several Mg-methods for the solution of the time-dependent Navier-Stokes equations.- Second order accurate upwind solutions of the 2D steady Euler equations by the use of a defect correction method.- Multigrid method in subspace and domain partitioning in the discrete solution of elliptic problems.- Fas multigrid employing ILU/SIP smoothing: A robust fast solver for 3D transonic potential flow.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 348 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -These proceedings contain original (refereed) research articles by specialists from many countries, on a wide variety of aspects of Navier-Stokes equations. Additionally, 2 survey articles intended for a general readership are included: one surveys the present state of the subject via open problems, and the other deals with the interplay between theory and numerical analysis.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 252 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -The subject of partial differential equations holds an exciting and special position in mathematics. Partial differential equations were not consciously created as a subject but emerged in the 18th century as ordinary differential equations failed to describe the physical principles being studied. The subject was originally developed by the major names of mathematics, in particular, Leonard Euler and Joseph-Louis Lagrange who studied waves on strings; Daniel Bernoulli and Euler who considered potential theory, with later developments by Adrien-Marie Legendre and Pierre-Simon Laplace; and Joseph Fourier's famous work on series expansions for the heat equation. Many of the greatest advances in modern science have been based on discovering the underlying partial differential equation for the process in question. James Clerk Maxwell, for example, put electricity and magnetism into a unified theory by establishing Maxwell's equations for electromagnetic theory, which gave solutions for prob lems in radio wave propagation, the diffraction of light and X-ray developments. Schrodinger's equation for quantum mechanical processes at the atomic level leads to experimentally verifiable results which have changed the face of atomic physics and chemistry in the 20th century. In fluid mechanics, the Navier Stokes' equations form a basis for huge number-crunching activities associated with such widely disparate topics as weather forecasting and the design of supersonic aircraft. Inevitably the study of partial differential equations is a large undertaking, and falls into several areas of mathematics.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 304 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -The most frequently used method for the numerical integration of parabolic differential equa tions is the method of lines, where one first uses a discretization of space derivatives by finite differences or finite elements and then uses some time-stepping method for the the solution of resulting system of ordinary differential equations. Such methods are, at least conceptually, easy to perform. However, they can be expensive if steep gradients occur in the solution, stability must be controlled, and the global error control can be troublesome. This paper considers a simultaneaus discretization of space and time variables for a one-dimensional parabolic equation on a relatively long time interval, called 'time-slab'. The discretization is repeated or adjusted for following 'time-slabs' using continuous finite element approximations. In such a method we utilize the efficiency of finite elements by choosing a finite element mesh in the time-space domain where the finite element mesh has been adjusted to steep gradients of the solution both with respect to the space and the time variables. In this way we solve all the difficulties with the classical approach since stability, discretization error estimates and global error control are automatically satisfied. Such a method has been discussed previously in [3] and [4]. The related boundary value techniques or global time integration for systems of ordinary differential equations have been discussed in several papers, see [12] and the references quoted therein.Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 176 pp. Deutsch.

Taschenbuch. Zustand: Neu. Neuware -During the week of December 8-13, 1984, a conference on Multi-Grid Methods was held at the Mathematisches Forschungs institut (Mathematical Research Institute) in Oberwolfach. The conference was suggested by the GAMM-Committee 'Effiziente numerische Verfahren fUr partielle Differentialgleichungen'. We were pleased to have 42 participants from 12 countries. These proceedings contain some contributions to the confe rence. The centre of interest in the more theoretical contri butions were exact convergence proofs for multi-grid method. Here, the theoretical foundation for the application of the method to the Stokes equations, the biharmonic equation in its formulation as a mixed finite element problem and other more involved problems were investigated. Moreover, improvements and new attacks for getting quantitative results on convergence rates were reported. Another series of contributions was concerned with the de velopment of highly efficient and fast algorithms for various partial differential equations. Also in this framework, the Stokes and the biharmonic equations were investigated. Other lectures treated problems from fluid mechanics (as Navier Stokes and Euler equations), the dam-problem and eigenvalue problems. The editors would like to thank Professor M. Barner, the director of Mathematisches Forschungsinstitut Oberwolfach for making this conference possible. D. Braess, Bochum W. Hackbusch, Kiel U. Trottenberg, St. Augustin v CONTENTS O. AXELSSON: A mixed variable finite element method for the efficient solution of nonlinear diffusion and pot- tial flow equations . .Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 132 pp. Deutsch.

Taschenbuch. Zustand: Neu. Neuware -The GAMM Committee for 'Efficient Numerical Methods for Partial Differential Equations' organises seminars on subjects concerning the algorithmic treatment of par tial differential equations. The topics are discretisation methods like the finite element and the boundary element method for various types of applications in structural and fluid mechanics. Particular attention is devoted to the advanced solution methods. The series of such seminars was continued in 1994, January 14-16, with the 10th Kiel-Seminar on the special topic Fast Solvers for Flow Problems at the Christian-Albrechts-University of Kiel. The seminar was attended by 100 scientist from 9 countries. 23 lectures were given, including two invited survey lectures. The central topic of most of the contributions are the Navier-Stokes equations. The authors discuss robust methods, parallel implementations, defect correction techniques, adaptive methods including error estimators, domain decompositions and FEM-BEM coupling. The invited lectures concern the hierarchical multigrid method for unstruc tured grids and structured adaptive finite-volume multigrid for compressible flows.Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 304 pp. Deutsch.

Taschenbuch. Zustand: Neu. Neuware -Steady solutions of the Navier-Stokes equations representing plane flow in channels of various types.- On properties of steady viscous incompressible fluid flows.- Parameterization of subgrid-scale motion in numerical simulation of 2-dimensional Navier-Stokes equation at high Reynolds number.- CO+ -semigroups for flows past obstacles and for flows with capillary surfaces.- A finite element approximation of Navier-Stokes equations for incompressible viscous fluids. Iterative methods of solution.- The initial value problem for the Boussinesq equations with data in Lp.- A finite element method for the simulation of a Rayleigh-Taylor instability.- Spectral calculation of the stability of the circular Couette Flow.- Numerical solution of the complete Navier-Stokes equations for the simulation of unsteady flows.- A survey on the functional dynamical system generated by the Navier-Stokes equations.- Solution of the time-dependent incompressible Navier-Stokes and Boussinesq equations using the Galerkin finite element method.- Auxiliary flux and pressure conditions for Navier-Stokes problems.- Classical solutions of the Navier-Stokes equations.- Direct and repeated bifurcation into turbulence.- Approximation of the hydrodynamic equations by a transport process.- Some decay properties of solutions of the Navier-Stokes equations.- The implicit difference schemes for numerical solving the Navier-Stokes equations.- Finite-difference solutions of the Navier-Stokes equations for axially symmetric flows in spherical gaps.- Numerical investigation of unsteady viscous incompressible flow about bodies for varying conditions of their motion.- On the regularity of solutions of the nonstationary Navier-Stokes equations.- The asymptotic behaviour of solutions of the Navier-Stokes equations near sharp corners.- High resolution spectral calculations of inviscid compressible flows.- Analysis of Navier-Stokes type equations associated to mathematical models in fluid dynamics.- On the finite element approximation of the nonstationary Navier-Stokes problem.- On the convergence rate of nonstationary Navier-Stokes approximations.- Optimisation of Hermitian methods for Navier-Stokes equations in the vorticity and stream-function formulation.- Navier-stokes calculations with a coupled strongly implicit method Part II: Spline deferred-corrector solutions.- Strange attractors and characteristic exponents of turbulent flows.- Selection mechanisms in symmetry breaking phenomena.- High Reynolds-number flows.- Application of spectral methods to the solution of Navier-Stokes equations.- Regularity questions for the Navier-Stokes equations.- Numerical experiments with a multiple grid and a preconditioned Lanczos type method.- New solutions of the Karman problem for rotating flows.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 604 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -Mathematical and numerical study of nonlinear problems in fluid mechanics.- Free boundary problems in fluid dynamics.- Method of rothe in evolution equations.- Boundary value problems in weighted spaces.- Critical point theory and nonlinear differential equations.- Ordinary linear differential equations ¿ A survey of the global theory.- Numerical and theoretical treating of evolution problems by the method of discretization in time.- Algorithms for the inclusion of solutions of ordinary initial value problems.- Recent developments in the theory of function spaces.- On properties of oscillatory solutions of non-linear differential equations of the n-th order.- Uniqueness without continuous dependence.- Connections in scalar reaction diffusion equations with neumann boundary conditions.- On a certain boundary value problem of the third order.- On nonparasite solutions.- Uniform zeros for beaded strings.- Perron intergaral, perron product integral and ordinary linear differential equations.- On the zeros of some special functions: Differential equations and nicholson-type formulas.- Surjectivity and boundary value problems.- Some problems concerning the equivalences of two systems of differential equations.- Linear perturbations of general disconjugate equations.- On optimal control of systems with interface side conditions.- A description of blow-up for the solid fuel ignition model.- Spectral analysis of non-self-adjoint elliptic operators.- On the Mountain Pass Lemma.- On uniqueness and stability of steady-state carrier distributions in semiconductors.- Partial regularity of minimizers.- Periodic solutions of partial differential equations with hysteresis.- Stability and bifurcation problems for reaction-diffusion systems with unilateral conditions.- Boundary integral equations of elasticity in domains with piecewise smooth boundaries.- Higher regularity of weak solutions of strongly nonlinear elliptic equations.- Some regularity results for quasilinear parabolic systems.- Classical boundary value problems for Monge-Amp¿ type equations.- Qualitative properties of the solutions to the navier-stokes equations for compressible fluids.- On Gel'fand's method of chasing for silving multipoint boundary value problems.- Stability and error estimates valid for infinite time, for strongly monotone and infinitely stiff evolution equations.- Recent results in the approximation of free boundaries.- Finite element solution of a nonlinear diffusion problem with a moving boundary.- Analysis of thacker's method for solving the linearized shallow water equations.- The convergence of a new method for calculating lower bounds to eigenvalues.- Bifurcation analysis of stimulated brillouin scattering.- Superconvergence results for linear triangular elements.- Mixed finite element in 3D in H(div) and H(curl).- Free boundary problems for stokes' flows and finite element methods.- Enclosing methods for perturbed boundary value problems in nonlinear difference equations.- Error estimates for finite element methods for semilinear parabolic problems with nonsmooth data.- Singularities in two- and three-dimensional elliptic problems and finite element methods for their treatment.- Some new convergence results in finite element theories for elliptic problems.- Mathematical solution of direct and inverse problem for transonic cascade flows.- Einige Anwendungen der Mehrdimensionalen Approximationstheorie zur L¿sungseinschlie¿ng bei Randwertaufgaben.- A posteriori estimations of approximate solutions for some types of boundary value problems.- Nonlinear dynamics systems - bifurcations, continuation methods, periodic solutions.- The rothe method for nonlinear hyperbolic problems.- Some solved and unsolved canonical problems of diffraction theory.- Entropy compactification of the transonic flow.- The global existence of weak solutions of the mollified system of equations of motion of viscous compressible fluid.- Bifurcations near a double eigenvalue of the rectangular plate problem with a domain parameter.- Delay makes problems in population modelling.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 448 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -Despite efforts of more than centuries, turbulence phenomena is categorized as an unsolved problem. Turbulence is part of everyday's life. The majority of flows of industrial and technological applications are turbulent; natural flows are invariably so. There are many important and interesting physical phenomena which are connected with turbulent flows. Turbulence is observed in natural and engineering applications such as in weather prediction, air pollution, water pollution, aerodynamics and heat exchangers. This work considers an accurate and reliable solutions of turbulent flows. It is concerned with one of the most promising approaches to the numerical simulation of turbulent flows, the subgrid eddy viscosity models. We analyze both continuous and discontinuous finite element approximation of the new subgrid eddy viscosity model. This approach has the advantage that the diffusivity is introduced only on the small scales of the flow. Numerical test shows the new stabilization technique is robust and efficient in solving Navier-Stokes equations for a wide range of Reynolds numbers.Books on Demand GmbH, Überseering 33, 22297 Hamburg 80 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -Inequations quasi-variationnelles dans les problemes a frontiere libre en hydraulique.- The alliance of practical and analytical insights into the nonlinear problems of fluid mechanics.- Asymptotic behaviour of solutions of variational inequalities with highly oscillating coefficients.- Application of convex analysis to the treatment of elastoplastic systems.- Theory of mixed and hybrid finite-element approximations in linear elasticity.- Perturbation of domains in elliptic boundary value problems.- Frost propagation in wet porous media.- Viscous fluid flow in chemically reacting and diffusing systems.- Local invertibility conditions for geometrically exact nonlinear rod and shell theories.- Some applications of functional analysis in the mathematical theory of structures.- Functional analysis applied to the optimisation of a temperature profile.- Global free boundary problems and the calculus of variations in the large.- Proof of existence and uniqueness of tidal waves with general vorticity distributions.- A critical appraisal of certain contemporary ship model testing techniques.- Solitary-wave solutions for some model equations for waves in nonlinear dispersive media.- Hilbertian unilateral problems in viscoelasticity.- On the norm-dependence of the concept of stability.- The hodograph method in fluid-dynamics in the light of variational inequalities.- A new formulation of diphasic incompressible flows in porous media.- Convergence of solutions in problems of elastic plastic torsion of cylindrical bars.- On an evolution problem in linear acoustics of viscous fluids.- On the mechanics of materials with fading memory.- Contraction semigroups and trend to equilibrium in continuum mechanics.- The buckling of a thin elastic plate subjected to unilateral conditions.- Problemes de contact entre corps solides deformables.- On the existence and uniqueness of a warpening function in the Elastic¿plastic torsion of a cylindrical bar with multiply connected cross¿section.- A method for computing the eigenfrequencies of an acoustic resonator.- Secondary bifurcation of a steady solution into an invariant torus for evolution problems of Navier-Stokes¿ type.- A basic open problem in the theory of elastic stability.- Some applications and methods of nonlinear functional analysis in finite displacement plate theory.- Criteres de validite de la theorie non-lineaire des coques elastiques.- Functional analysis approach for the derivation of hybrid variational functionals.- Stability of equilibrium in elastic-plastic solids.- Solutions in the large for certain nonlinear hyperbolic systems arising in shock-wave theory.- Cauchy problem in a scale of banach spaces and its application to the shallow water theory justification.- Perturbation results and their applications to problems in structural dynamics.- On the physical interpretation of certain inner products as a guide to the application of functional analysis.- Branching and stability for nonlinear shells.- On a free surface problem.- Theoretical constructions of selection of actual events from the virtual ones.- Steadily rotating chains.- Generating functionals and extremum principles in nonlinear elasticity with applications to nonlinear plate and shallow shell theory.- Determination de la configuration d¿equilibre d¿un plasma.- Elatic-plastic torsion of cylindrical pipes.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 552 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -This book constitutes the refereed proceedings of the 21st International Workshop on Computer Algebra in Scientific Computing, CASC 2019, held in Moscow, Russia, in August 2019.The 28 full papers presented together with 2 invited talks were carefully reviewed and selected from 44 submissions. They deal with cutting-edge research in all major disciplines of computer algebra. The papers cover topics such as polynomial algebra, symbolic and symbolic-numerical computation, applications of symbolic computation for investigating and solving ordinary differential equations, applications of CASs in the investigation and solution of celestial mechanics problems, and in mechanics, physics, and robotics.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 496 pp. Englisch.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The GAMM-Commi ttee for Numerical Methods in Fluid Mechanics (GAMM-Fachausschuss für Numerische Methoden in der Strömungsmechanik) has sponsored the organization of a GAMM Workshop dedicated to the numerical simulation of three dimensional incompressible unsteady viscous laminar flows to test Navier-Stokes solvers. The Workshop was held in Paris from June 12th to June 14th, 1991 at the Ecole Nationale Superieure des Arts et Metiers. Two test problems were set up. The first one is the flow in a driven-lid parallelepipedic cavity at Re = 3200 . The second problem is a flow around a prolate spheroid at incidence. These problems are challenging as fully transient solutions are expected to show up. The difficulties for meaningful calculations come from both space and temporal discretizations which have to be sufficiently accurate to resol ve detailed structures like Taylor-Görtler-like vortices and the appropriate time development. Several research teams from academia and industry tackled the tests using different formulations (veloci ty-pressure, vortici ty velocity), different numerical methods (finite differences, finite volumes, finite elements), various solution algorithms (splitting, coupled, . ), various solvers (direct, iterative, semi-iterative) with preconditioners or other numerical speed-up procedures. The results show some scatter and achieve different levels of efficiency. The Workshop was attended by about 25 scientists and drove much interaction between the participants. The contributions in these proceedings are presented in alphabetical order according to the first author, first for the cavi ty problem and then for the prolate spheroid problem. No definite conclusions about benchmark solutions can be drawn.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - InhaltsangabeComputational aerodynamics and design.- Numerical computations of explosions in gases.- Two-dimensional separated flows.- Numerical simulation of wall-bounded turbulent shear flows.- Shock capturing, fitting and recovery.- Flow simulation by discrete vortex method.- A grid interfacing zonal algorithm for three-dimensional transonic flows about aircraft configurations.- An accurate and efficient finite element Euler equation algorithm.- Numerical computation of large-scale fire-induced flows.- Simulation of the fluctuating field of a forced Jet.- Modeling of gasdynamic processes in neutron stars with phase transitions.- Adaptation of flux-corrected transport algorithms for Modelina blast waves.- A local-relaxation method for solving convection-diffusion equations.- A numerical treatment of two-dimensional flow in a branching channel.- Finite element least square method for solving full steady Euler equations in a plane nozzle.- Analysis of separated boundary-layer flows.- Numerical modelling of inviscid shocked flows of real gases.- An overrelaxation method for transonic flow calculations by Euler equations.- A Dorodnitsyn finite element boundary layer formulation.- Large eddy simulation of a turbulent wall-bounded shear layer with longitudinal curvature.- Mixed initial and boundary value problems: Upwind schemes and their application.- An Eulerian method for calculation of gas motion in a varying region.- Computation of inviscid transonic internal flow.- Random element method for numerical modeling of diffusional processes.- A high Reynolds number flow with closed streamlines.- Compressible swirling flow into a constant volume cylinder.- Techniques for efficient implementation of pseudo-spectral methods and comparisons with finite difference solutions of the Navier-Stokes equations.- Numerical simulation of the fluid flow in front of the scoop of a gas centrifuge.- Study of incompressible turbulent channel flow by large eddy simulation.- Numerical solution and boundary conditions for boundary layer like flows.- Relaxation solution of the full Euler equations.- Spectral simulations of laminar-turbulent transition in plane Poiseuille flow and comparison with experiments.- Transonic-flow computation using an explicit-implicit method.- Numerical modeling of viscous flows in approximation of full and simplified Navier-Stokes equations.- Numerical solution of transonic shear flows past thin bodies.- Transonic potential flow calculation about complex bodies by a technique of overlapping subdomains.- Calculation method for transonic separated flows over airfoils including spoiler effects.- On the use of several compact methods for the study of unsteady incompressible viscous flow for outer problems (II).- Mesh generation strategies for CFD on complex configurations.- A new numerical method for the simulation of three-dimensional flow in a pipe.- An implicit finite-volume method for solving the Euler equations.- Finite difference computation of pressure and wave-drag of slender bodies of revolution at transonic speeds with zero-lift.- Numerical solution of viscous flow in unbounded fluid.- A natural conservative flux difference splitting for the hyperbolic systems of gasdynamics.- Simulation of cylindrical Couette flow.- Solution-adaptive grid for the calculation of three-dimensional laminar and turbulent boundary layers.- Calculation of pressure statistics in turbulent free shear flows by direct numerical simulation.- An implicit finite difference method for chemical nonequilibrium flow through an axisymmetric supersonic nozzle.- Noniterative grid generation using parabolic difference equations for fuselage-wing flow calculations.- The numerical calculation of rotating fluid flows at low Rossby numbers.- Numerical techniques for multidimensional modeling of shock-generated turbulence.- Adaptive curvilinear grids for large Reynolds number viscous flows.- Simulation of large turbulent vortex structures with the parabolic Navier-Stokes e.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Some computational problems in boundary-layer flows.- Initial boundary value problems for hyperbolic partial differential equations.- Numerical solution of turbulent boundary layers approaching separation.- Numerical models of rotating stars.- Navier-Stokes solutions using a finite element algorithm.- Interaction of strong shock wave with turbulent boundary layer.- The numerical simulation of low frequency unsteady transonic flow fields.- Quasi-inviscid dynamics of numerical models of two-dimensional flows.- Flat slender delta wings in supersonic stream at small angles of attack.- Numerical experiment in gas dynamics.- Numerical solution of the problems of the mhd flow around the bodies.- Nonuniform grid method for turbulent boundary layers.- Numerical study of the heating of a plasma.- Solution of the three-dimensional compressible Navier-Stokes equations by an implicit technique.- Variationally optimized, grid-insensitive vortex tracing.- A numerical study of pulsatile flow through constricted arteries.- A study of a three dimensional free jet using the vorticity/vector potential method.- High reynolds number transonic flow simulation.- Application of the series truncation method to two-dimensional internal flows.- A physically optimum difference scheme for three-dimensional boundary layers.- Numerical solution of the unsteady navier-stokes equations for the investigation of laminar boundary layer stability.- GTT method applied to cones at large angles of attack.- The numerical solution of blunt body flowfields using RUSANOV's method.- Onset of dissipation at zero viscosity in turbulent flows.- A numerical procedure in the hodograph plane for the study of transonic flow past vying profiles.- Discretisation of the velocity - space in kinetic theory of gases.- On the solution of a mixed problem for the wave equation.- Highly stretched meshes as functionals of solutions.- A numerical study of the thermal spin-up of a stratified fluid in a rapidly rotating cylinder.- Solution of the three-dimensional compressible, laminar, and turbulent boundary-layer equations with comparisons to experimental data.- On finite amplitudes of periodic disturbances of the boundary layer along a flat plate.- Asymptotic solution for supersonic viscous flow past a compression corner.- Leading edge separation from non-conical slender wings at incidence.- A method of calculation for the three-dimensional fluid flow in turbomachines.- Some hydrodynamic problems for multicomponent systems.- Numerical simulation of interacting three-dimensional vortex filaments.- The problem of spurious oscillations in the numerical solution of the equations of gas dynamics.- Rotating thin elliptic cylinder in a parallel viscous fluid flow.- Computational magnetohydrodynamics of time-dependent flows in toroidal systems.- Computational aspects of a viscous incompressible fluid.- Difference methods for transonic flows about airfoils.- On the matter of shock fitting.- On the theory of difference schemes for gas dynamics equations.- Numerical experiments on free surface water motion with bores.- Boundary layer calculation by a hermitian finite difference method.- Numerical solutions for atmospheric boundary layer flows over street canyons.- The leading-edge effect in unsteady free-convection flows.- The transient dynamics of chemically reactive gaseous mixtures with turbulence.- A generalized hyperbolic marching technique for three-dimensional supersonic flow with shocks.- The split nos and bid methods for the steady-state navier-stokes equations.- Some properties of the axisymmetric gas flow about the power shape bodies.- A study of difference methods for radially symmetric shocked flows.- Some results using relaxation methods for two- and three-dimensional transonic flows.- Recent results from the GISS model of the global atmosphere.- Radiating flows with intensive evaporation over blunt bodies.- Steady viscous incompressible flow around a given contour.- Solution of the navier-stokes equations by finite element methods.- Calculations on the hypersonic Rayleigh problem.- Studies of free buoyant and shear flows by the vortex-in-cell method.- Time ¿ dependent one ¿ dimensional liquid ¿ bubble flow.- Drag of a finite flat plate.- Numerical solution of the unsteady navier-stokes equations for the oscillatory flow over a concave body.- A reverse flow computation in the theory of self-induced separation.- A flowfield segmentation method for the numerical solution of viscous flow problems.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The last decade has seen a dramatic increase of our abilities to solve numerically the governing equations of fluid mechanics. In design aerodynamics the classical potential-flow methods have been complemented by higher modelling-level methods. Euler solvers, and for special purposes, already Navier-Stokes solvers are in use. The authors of this book have been working on the solution of the Euler equations for quite some time. While the first two of us have worked mainly on algorithmic problems, the third has been concerned off and on with modelling and application problems of Euler methods. When we started to write this book we decided to put our own work at the center of it. This was done because we thought, and we leave this to the reader to decide, that our work has attained over the years enough substance in order to justify a book. The problem which we soon faced, was that the field still is moving at a fast pace, for instance because hyper sonic computation problems became more and more important.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - InhaltsangabeRemarks on approximation schemes.- Topics in the numerical simulation of high temperature flows.- Compact explicit finite-difference approximations to the Navier-Stokes equations.- Time-splitting and the finite element method.- Spectral methods for compressible plow problems.- Global relaxation procedures for a reduced form of the Navier-Stokes equations.- Modelisation numerique d'ecoulements turbulents instationnaires en canalisation cylindrique.- On the use of rational Runge-Kutta methods in Euler steady-state computations.- Probating a finite difference fractional time step, Navier-Stokes code by large eddy simulation.- GRP - An analytic approach to high-resolution upwind schemes for compressible fluid flow.- An adaptive multigrid method for the euler equations.- Direct simulations of spatially evolving compressible turbulence - techniques and results.- Free decay of high reynolds number two dimensional turbulence.- Finite element calculation of potential flow around wings.- Finite element methods for solving the Navier-Stokes equations for compressible unsteady flows.- Numerical solutions of the Euler equations with separation by a finite element method.- Chebyshev spectral and pseudospectral solutions of the Navier-Stokes equations.- Analysis of strongly interacting viscous-inviscid flows including separation.- An improved Euler method for computing steady transonic flows.- A semi-direct procedure using a local relaxation factor and its application to an internal flow problem.- Viscous computation of a space shuttle flow field.- Numerical calculation of complex shock reflections in gases.- Boundary layer modelling in a numerical weather prediction model.- Modelling of two-dimensional bubbles in vertical tubes.- A time dependent free boundary governed by the Navier-Stokes equations.- A perturbative lambda formulation.- Numerical modeling of vortex merging in axisymmetric mixing layers.- A new modified semi-explicit difference scheme in aerodynamics.- Three-dimensional computations of non-isothermal wall bounded complex flows.- A multigrid technique for steady Euler equations based on flux-difference splitting.- Generation of fully adaptive and/or orthogonal grids.- Computation of compressible two-dimensional turbulence in non rotating and rotating flows.- Comparison of the full-potential and Euler formulations for computing transonic airfoil flows.- Numerical simulations of fuel droplet flows using a Lagrangian triangular mesh.- On boundary conditions for inner incompressible flows.- Fast three-dimensional flux-corrected transport code for highly resolved compressible flow calculations.- A numerical study of the two- and three-dimensional unsteady Navier-Stokes equations in velocity-vorticity variables using compact difference schemes.- Improvements in the accuracy and stability of algorithms for the small-disturbance and full-potential equations applied to transonic flows.- 3D industrial flows calculations by finite element method.- Transonic flows through cascades.- Two-dimensional model for the two-phase flow simulation in a viking rocket engine combustion chamber.- A numerical solution to the motion of a lubricant squeezed between two rotating coaxial disks.- Numerical simulation of gas motion in piston engines.- Modelisation numerique dE la separation centribuge d'un melange.- Supersonic flow past circular cones at high angles of yaw, downstream of separation.- A two-grid method for fluid dynamic problems with disparate time scales.- Multiple-grid solution of the three-dimensional Edler and Navier-Stokes equations.- New higher-order upwind scheme for incompressible Navier-Stokes equations.- Solution of the parabolized Navier-Stokes equations for three-dimensional internal flows.- Implicit solution of the 3-D compressible Navier-Stokes equations for internal flows.- Computation of three-dimensional vortex flows past wings using the EULER Equations and a multiple-grid scheme.- A spectral element method applied to unstea.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This volume contains a selection from the papers presented at the Fourth European Multigrid Conference, held in Amsterdam, July 6-9,1993. There were 78 registered participants from 14 different countries, and 56 presentations were given. The preceding conferences in this series were held in Cologne (1981, 1985) and in Bonn (1990). Also at the other side of the Atlantic special multigrid conferences are held regularly, at intervals of two years, always in Copper Mountain, Colorado, US. The Sixth Copper Mountain Conference on Multigrid Methods took place in April, 1993. Circumstances prevented us from putting a larger time interval between the Copper and Amsterdam meetings. The next European meeting is planned in 1996, a year later than the next Copper Meeting. When the first multigrid conference was held in 1981 there was no doubt about the usefulness of a conference dedicated specially to multigrid, because multigrid was a new and relatively unexplored subject, still in a pioneering stage, and pursued by specialists. The past twenty years have shown a rapid growth in theoretical understanding, useful applications and widespread acceptance of multi grid in the applied disciplines. Hence, one might ask whether there is still a need today for conferences specially dedicated to multigrid. The general consensus is that the answer is affirmative. New issues have arisen that are best addressed or need also be addressed from a special multigrid point of view.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Discrete Kinetic Schemes for Systems of Conservation Laws.- A Mixed Finite Volume/Finite Element Method for 2-dimensional Compressible Navier-Stokes Equations on Unstructured Grids.- Large Time Stability of Propagating Phase Boundaries.- Convergence of Meshless Methods for Conservation Laws Applications to Euler equations.- Multi-dimensional Stability of Propagating Phase Boundaries.- Travelling Wave Solutions of a Convective Diffusive System with First and Second Order Terms in Nonconservation Form.- High Order Central Schemes for Hyperbolic Systems of Conservation Laws.- A Simple Algorithm to Improve the Accuracy of TVD-MUSCL Schemes.- Hyperbolic Initial Boundary Value Problems on the Stability of Strong Discontinuities in Continuum Mechanics.- On Hyperbolic Integro-differential von K¿¿Equations for Viscoelastic Plates.- Courant¿s Problems and Their Extensions.- Old and New Hyperbolic Approaches in General Relativity.- Differentiability with Respect to Initial Data for a Scalar Conservation Law.- Evolution Behavior of Transverse Shocks in a Nonlinear Elastic Layer.- A Naive Riemann Solver to Compute a Non-conservative Hyperbolic System.- Compactness and Asymptotic Behavior of Entropy Solutions without Locally Bounded Variation for Hyperbolic Conservation Laws.- Non-symmetric Conical Supersonic Flow.- On the Preconditioning of Finite Volume Schemes.- A Priori Error Estimates for Nonlinear Scalar Conservation Laws.- Traveling Waves for Combustion in Porous Media.- Evolution of a Cusp-like Singularity in a Vortex Patch.- A Bow Shock Flow Containing (Almost) All Types of (¿Exotic¿) MHD Discontinuities.- Application of Kinetic Schemes to All Types of Meshes.- On the Regularity of Solutions of the Compressible Isentropic Navier-Stokes Equations.- Entropy Inequality for High Order Discontinuous Galerkin Approximation of Euler Equations.- Asymptotic Equations for Weakly Nonlinear Elastic Waves in a Cubic Crystal.- Computing Strong Shocks in Ultrarelativistic Flows: A Robust Alternative.- A Free Boundary Problem for an Elastic-Plastic Flow Model.- Numerical Errors Downstream of Slightly Viscous Shocks.- Multiphase Computations in Geometrical Optics.- Degenerate Convection-Diffusion Equations and Implicit Monotone Difference Schemes.- On the Numerical Solution of Multi-dimensional Non-linear Systems of Conservation Laws.- 3D Radiative Transfer Under Conditions of Non-local Thermodynamic Equilibrium: A Contribution to the Numerical Solution.- Flow Simulations on Cartesian Grids Involving Complex Moving Geometries.- Comparisons of Cell Centered and Cell Vertex Finite Volume Methods for Internal Flow Problems.- Numerical Methods for Viscous Profiles of Non-classical Shock Waves.- On the Asymptotic Behavior of Solutions of Certain Multi-D Viscous Systems of Conservation Laws.- Stability of General Shock profiles ¿ a Novel Weight Function for the Non-convex Case.- Global Correctness of Cauchy Problem for Nonlinear Conservation Laws Systems and one Example for the Gas Dynamics.- Asymptotics for Hyperbolic Equations with a Skew-symmetric Perturbation.- Decomposition of the Elastic-plastic Wave Equation into Advection Equations.- Adaptive Finite Volume Schemes for Conservation Laws Based on Local Multiresolution Techniques.- Existence of Global Smooth Solutions to Euler Equations for an Isentropic Perfect Gas.- Adaptive Mesh Refinement for Singular Structures in Incompressible Hydro- and Magnetohydrodynamic Flows.- Adaptive Sparse Grids for Hyperbolic Conservation Laws.- Numerical Results for the Flux Identification in a System of Conservation Laws.- Adaptive Mesh Coarsening in CFD.- Adaptive Grid Methods for Reactive Flows.- The Riemann Problem of a System for a Phase Transition Problem.- Computation of High-speed Flow Using Non-Oscillatory Scheme.- Nonlinear MHD Processes in the Sun¿s Atmosphere.- The Relaxation Approximation to Hyperbolic System of Conservation Laws.- A Front Tracking Method for Conservation Laws with Boundary Conditions.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The method of. fractional steps, known familiarly as the method oi splitting, is a remarkable technique, developed by N. N. Yanenko and his collaborators, for solving problems in theoretical mechanics numerically. It is applicable especially to potential problems, problems of elasticity and problems of fluid dynamics. Most of the applications at the present time have been to incompressible flow with free bound aries and to viscous flow at low speeds. The method offers a powerful means of solving the Navier-Stokes equations and the results produced so far cover a range of Reynolds numbers far greater than that attained in earlier methods. Further development of the method should lead to complete numerical solutions of many of the boundary layer and wake problems which at present defy satisfactory treatment. As noted by the author very few applications of the method have yet been made to problems in solid mechanics and prospects for answers both in this field and other areas such as heat transfer are encouraging. As the method is perfected it is likely to supplant traditional relaxation methods and finite element methods, especially with the increase in capability of large scale computers. The literal translation was carried out by T. Cheron with financial support of the Northrop Corporation. The editing of the translation was undertaken in collaboration with N. N. Yanenko and it is a plea sure to acknowledge his patient help and advice in this project. The edited manuscript was typed, for the most part, by Mrs.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book aims at introducing students to the numerical approximation of Partial Differential Equations (PDEs). One of the difficulties of this subject is to identify the right trade-off between theoretical concepts and their use in practice. With that collection of examples and exercises we try to address this issue by illustrating 'standard' examples which focus on basic concepts of Numerical Analysis, as well as problems derived from practical applications which the student is encouraged to formalize in terms of PDEs, analyze and solve. The latter examples are derived from the experience of the authors in research project developed in collaboration with scientists of different fields (biology, medicine, etc.) and industry. We wanted this book to be useful both to readers more interested in the theoretical aspects, and also to those more concerned with the numerical implementation. To this aim, solutions to the exercises have been subdivided in three parts. The first concerns the mathematical analysis of the problem, the second its numerical approximation and the third part is devoted to implementation aspects and the analysis of the results. The book consists of three parts. The first deals with basic material and results provided as useful reference for the other sections. In particular, we recall the basics of functional analysis and the finite element method. The second part deals with steady elliptic problems, solved with finite elements or finite differences, while in the third part we address time-dependent problems, including linear hyperbolic systems and Navier-Stokes equations. Two appendices discuss some practical implementation issues and three-dimensional applications. Each section contains a brief introduction to the subject to make this book self contained.

Taschenbuch. Zustand: Neu. Neuware -Mathematical foundation of the stokes problem.- Numerical solution of the stokes problem a classical method.- A mixed finite element method for solving the stokes problem.- The stationary navier-stokes equations.- The time-dependent navier-stokes equations.- Erratum.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 216 pp. Englisch.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Progress in the numerical simulation of turbulence has been rapid in the 1990s. New techniques both for the numerical approximation of the Navier-Stokes equations and for the subgrid-scale models used in large-eddy simulation have emerged and are being widely applied for both fundamental and applied engineering studies, along with novel ideas for the performance and use of simulation for compressible, chemically reacting and transitional flows. This collection of papers from the second ERCOFTAC Workshop on Direct and Large-Eddy Simulation, held in Grenoble in September 1996, presents the key research being undertaken in Europe and Japan on these topics. Describing in detail the ambitious use of DNS for fundamental studies and of LES for complex flows of potential and actual engineering importance, this volume will be of interest to all researchers active in the area.

Taschenbuch. Zustand: Neu. Neuware -The important lapse in the failure of Debye-Huckel theory was established during the last century by detailed theoretical and experimental work of Glueckauff, Pitzer, Buchner, Barthel and the Nobel Prize winners Eigen and Tamm. The omission of incorporation of dielectric permittivity variation with concentration is attributed to be sole cause for several interesting mechanisms observed in electrolytic solutions. This book developed a model to fill the void. A nonlinear equation for Dielectric constant as a function of three different powers of concentration was proposed. Gauss-Newton method was used in curve fitting the Dielectric data. The Poisson-Boltzmann equation provided access to apply the proposed correction to the Debye-Huckel theory. The governing equations for an EOF of an aqueous electrolyte solution were developed by fully coupled Navier ¿ Stokes, Maxwell ¿ Stefan, Poisson - Boltzmann equations. The Finite difference method and Finite element method were used to solve the governing equations.Books on Demand GmbH, Überseering 33, 22297 Hamburg 196 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware - With rapid progress made in employing computational techniques for various complex Navier-Stokes fluid flow problems, design optimization problems traditionally based on empirical formulations and experiments are now being addressed with the aid of computational fluid dynamics (CFD). To be able to carry out an effective CFD-based optimization study, it is essential that the uncertainty and appropriate confidence limits of the CFD solutions be quantified over the chosen design space. The present dissertation investigates the issues related to code verification, surrogate model-based optimization and sensitivity evaluation. For Navier-Stokes (NS) CFD code verification a least square extrapolation (LSE) method is assessed. This method projects numerically computed NS solutions from multiple, coarser base grids onto a freer grid and improves solution accuracy by minimizing the residual of the discretized NS equations over the projected grid. In this dissertation, the finite volume (FV) formulation is focused on. The interplay between the xi concepts and the outcome of LSE, and the effects of solution gradients and singularities, nonlinear physics, and coupling of flow variables on the effectiveness of LSE are investigated. A CFD-based design optimization of a single element liquid rocket injector is conducted with surrogate models developed using response surface methodology (RSM) based on CFD solutions. The computational model consists of the NS equations, finite rate chemistry, and the k-6 turbulence closure. With the aid of these surrogate models, sensitivity and trade-off analyses are carried out for the injector design whose geometry (hydrogen flow angle, hydrogen and oxygen flow areas and oxygen post tip thickness) is optimized to attain desirable goals in performance (combustion length) and life/survivability (the maximum temperatures on the oxidizer post tip and injector face and a combustion chamber wall temperature).

Taschenbuch. Zustand: Neu. Neuware -The material covered by this book has been taught by one of the authors in a post-graduate course on Numerical Analysis at the University Pierre et Marie Curie of Paris. It is an extended version of a previous text (cf. Girault & Raviart [32J) published in 1979 by Springer-Verlag in its series: Lecture Notes in Mathematics. In the last decade, many engineers and mathematicians have concentrated their efforts on the finite element solution of the Navier-Stokes equations for incompressible flows. The purpose of this book is to provide a fairly comprehen sive treatment of the most recent developments in that field. To stay within reasonable bounds, we have restricted ourselves to the case of stationary prob lems although the time-dependent problems are of fundamental importance. This topic is currently evolving rapidly and we feel that it deserves to be covered by another specialized monograph. We have tried, to the best of our ability, to present a fairly exhaustive treatment of the finite element methods for inner flows. On the other hand however, we have entirely left out the subject of exterior problems which involve radically different techniques, both from a theoretical and from a practical point of view. Also, we have neither discussed the implemen tation of the finite element methods presented by this book, nor given any explicit numerical result. This field is extensively covered by Peyret & Taylor [64J and Thomasset [82].Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 392 pp. Englisch.

Buch. Zustand: Neu. Neuware -This volume consists of six articles, each treating an important topic in the theory ofthe Navier-Stokes equations, at the research level. Some of the articles are mainly expository, putting together, in a unified setting, the results of recent research papers and conference lectures. Several other articles are devoted mainly to new results, but present them within a wider context and with a fuller exposition than is usual for journals. The plan to publish these articles as a book began with the lecture notes for the short courses of G.P. Galdi and R. Rannacher, given at the beginning of the International Workshop on Theoretical and Numerical Fluid Dynamics, held in Vancouver, Canada, July 27 to August 2, 1996. A renewed energy for this project came with the founding of the Journal of Mathematical Fluid Mechanics, by G.P. Galdi, J. Heywood, and R. Rannacher, in 1998. At that time it was decided that this volume should be published in association with the journal, and expanded to include articles by J. Heywood and W. Nagata, J. Heywood and M. Padula, and P. Gervasio, A. Quarteroni and F. Saleri. The original lecture notes were also revised and updated.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 304 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -In present-day technology the engineer is faced with complicated problems which can be solved only by advanced numerical methods using digital computers. He should have mathematical models at his disposal in order to simulate the behavior of physical systems. In many cases, including problems in physics, mechanics, chemistry, biology, civil engineering, electrodynamics, solid mechanics, space engineering, petroleum engineering, weather-forecasting, mass transport, multiphase flow and, last but not least, hydrodynamics, such a physical system can be described mathematically by one or more partial differential equations. Some of these problems require extreme accuracy, while for other problems only the qualitative behavior of the solution need to be studied. The finite element method (FEM) is one of the most commonly used methods for solving partial differential equations (PDEs). It makes use of the computer and is very general in the sense that it can be applied to both steady-state and transient, linear and nonlinear problems in geometries of arbitrary space dimension. The FEM is in fact a method which transforms a PDE into a system of linear (algebraic) equations. The following aspects may be identified in the study of a physical phenomenon: (i) engineering-mathematical sciences to formulate the problem correctly in terms of PDEs (ii) numerical methods to construct and to solve the system of algebraic equations; applied numerical functional analysis to give error estimates and convergence proofs (iii) informatics and programming to perform the calculations efficiently on the computer.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 500 pp. Englisch.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - InhaltsangabeTrends and pacing items in computational aerodynamics.- Polygon transformations in fluid mechanics.- On the computation of discontinuous multi-dimensional gas flows.- Pseudo-unsteady methods for transonic flow computations.- Axisymmetric transonic flow computations using a multigrid method.- Numerical techniques for free surface motion with application to drop motion caused by variable surface tension.- Viscous flow between concentric rotating spheres.- Numerical solutions for a moving shear layer in a swirling axisymmetric flow.- Flow induced by a jet in a cavity measurements and 3D numerical simulation.- Simulation of complex shock reflections from wedges in inert and reactive gaseous mixtures.- Computation of three-dimensional horseshoe vortex flow using the Navier-Stokes equations.- Numerical analysis of stability in magnetohydrodynamical problems.- Compressible flow simulation using Hamilton's equations and Clebsch-type vortex parameters.- Finite element calculation of steady transonic flow in nozzles using primary variables.- Improved surface velocity method for transonic finite-volume solutions.- Numerical simulation of reactive flow in internal combustion engines.- Mixing layer simulation by an improved three-dimensional vortex-in-cell algorithm.- On the numerical solution of a capillary free boundary problem governed by the Navies-Stokes equations.- Transonic flow calculations with higher order finite elements.- A finite-volume method for the prediction of turbulent flow in arbitrary geometries.- A finite difference method for the slow motion of a sphere in a rotating fluid.- Multifluid incompressible flows by a finite element method.- Numerical calculation of transonic axial turbomachinery flows.- A study of reactive diffusion problems with stiff integrators and adaptive grids.- Coordinate generation with precise controls.- An alternating direction implicit finite element method for compressible, viscous flow.- Finite difference computation of the capillary jet, free surface problem.- Simultaneous solutions of inviscid flow and boundary layer at transonic speeds.- Numerical studies on nonlinear hydrodynamic stability by computer-extended perturbation series.- Compact differencing schemes for advective problems.- Study of two-dimensional flow past an elliptic cylinder by discrete-vortex approximation.- Two analytical solutions for the reflection of unsteady shock wave and relevant numerical tests.- Separated boundary layer flows with high Reynolds numbers.- Improvement of numerical schemes by incorporation of approximate solutions applied to rotating compressible flows.- An alternative approach to the numerical simulation of steady inviscid flow.- Reformulation of the method of characteristics for multidimensional flows.- A conjugate gradient iterative method.- A numerical method for the wave resistance of a moving pressure distribution on the free surface.- Numerical methods for solving some fluid mechanics problems met in a strongly rotating gas centrifuge.- Transonic flow computations using grid systems with block structure.- On the convergence of iterative methods for solving the steady-state Navier-Stokes equations by finite differences.- Direct numerical simulations of turbulent shear flows.- Numerical solution of the Navier-Stokes equations by means of a multigrid method and Newton-iteration.- Analytic structure of high Reynolds number flows.- Incompressible mixed finite elements for the Stokes' equation in IR3.- A fractional volume of fluid method for free boundary dynamics.- Numerical analysis of dynamic stall phenomena of an oscillating airfoil by the discrete-vortex approximation.- Implicit non-iterative scheme for turbulent unsteady boundary layers.- A physical approach to solve numerically complicated hyperbolic flow problems.- Transition and turbulence in planar channel flows.- Some mathematical problems of air basin preservation.- A projection method based on Gaussian quadratures with application to com.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Many mechanics and physics problems have variational formulations making them appropriate for numerical treatment by finite element techniques and efficient iterative methods. This book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations such as transonic flows for compressible fluids and the Navier-Stokes equations for incompressible viscous fluids. Finite element approximations and non-linear relaxation, augmented Lagrangians, and nonlinear least square methods are all covered in detail, as are many applications.'Numerical Methods for Nonlinear Variational Problems', originally published in the Springer Series in Computational Physics, is a classic in applied mathematics and computational physics and engineering. This long-awaited softcover re-edition is still a valuable resource for practitioners in industry and physics and for advanced students.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This volume consists of six articles, each treating an important topic in the theory ofthe Navier-Stokes equations, at the research level. Some of the articles are mainly expository, putting together, in a unified setting, the results of recent research papers and conference lectures. Several other articles are devoted mainly to new results, but present them within a wider context and with a fuller exposition than is usual for journals. The plan to publish these articles as a book began with the lecture notes for the short courses of G.P. Galdi and R. Rannacher, given at the beginning of the International Workshop on Theoretical and Numerical Fluid Dynamics, held in Vancouver, Canada, July 27 to August 2, 1996. A renewed energy for this project came with the founding of the Journal of Mathematical Fluid Mechanics, by G.P. Galdi, J. Heywood, and R. Rannacher, in 1998. At that time it was decided that this volume should be published in association with the journal, and expanded to include articles by J. Heywood and W. Nagata, J. Heywood and M. Padula, and P. Gervasio, A. Quarteroni and F. Saleri. The original lecture notes were also revised and updated.