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This is the third and yet further updated edition of a highly regarded mathematical text. Brenner develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. Her volume formalizes basic tools that are commonly used by researchers in the field but not previously published. The book is ideal for mathematicians as well as engineers and physical scientists. It can be used for a course that provides an introduction to basic functional analysis, approximation theory, and numerical analysis, while building upon and applying basic techniques of real variable theory. This new edition is substantially updated with additional exercises throughout and new chapters on Additive Schwarz Preconditioners and Adaptive Meshes.
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Über die Autorin bzw. den Autor
Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.
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<p>This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis.</p> <p>The third edition contains four new sections: the BDDC domain decomposition preconditioner, convergence analysis of an adaptive algorithm, interior penalty methods and Poincara\'e-Friedrichs inequalities for piecewise W^1_p functions. New exercises have also been added throughout.</p> <p>The initial chapter provides an introducton to the entire subject, developed in the one-dimensional case. Four subsequent chapters develop the basic theory in the multidimensional case, and a fifth chapter presents basic applications of this theory. Subsequent chapters provide an introduction to:</p> <p> - multigrid methods and domain decomposition methods</p> <p> - mixed methods with applications to elasticity and fluid mechanics</p> <p> - iterated penalty and augmented Lagrangian methods</p> <p> - variational "crimes" including nonconforming and isoparametric methods, numerical integration and interior penalty methods</p> <p> - error estimates in the maximum norm with applications to nonlinear problems</p> <p> - error estimators, adaptive meshes and convergence analysis of an adaptive algorithm</p> <p>- Banach-space operator-interpolation techniques</p> <p>The book has proved useful to mathematicians as well as engineers and physical scientists. It can be used for a course that provides an introduction to basic functional analysis, approximation theory and numerical analysis, while building upon and applying basic techniques of real variable theory. It can also be used for courses that emphasize physical applications or algorithmic efficiency.</p> <p>Reviews of earlier editions: "This book represents an important contribution to the mathematical literature of finite elements. It is both a well-done text and a good reference." (Mathematical Reviews, 1995)</p> <p>"This is an excellent, though demanding, introduction to key mathematical topics in the finite element method, and at the same time a valuable reference and source for workers in the area."</p> <p> (Zentralblatt, 2002)</p> <p> </p>
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- VerlagSpringer
- Erscheinungsdatum2010
- ISBN 10 1441926119
- ISBN 13 9781441926111
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten420
- Kontakt zum HerstellerNicht verfügbar
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The Mathematical Theory of Finite Element Methods
Verlag:
Springer New York, Springer US Nov 2010, 2010
ISBN 10: 1441926119
ISBN 13: 9781441926111
Neu
Taschenbuch
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Taschenbuch. Zustand: Neu. Neuware -Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti c disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAMwillpublishtextbookssuitableforuseinadvancedundergraduate and beginning graduate courses, and will complement the Applied Mat- matical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. Pasadena, California J.E. Marsden Providence, Rhode Island L. Sirovich College Park, Maryland S.S. Antman Preface to the Third Edition This edition contains four new sections on the following topics: the BDDC domain decomposition preconditioner (Section 7.8), a convergent ad- tive algorithm (Section 9.5), interior penalty methods (Section 10.5) and 1 Poincar¿ e-Friedrichs inequalities for piecewise W functions (Section 10.6).Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 420 pp. Englisch. Artikel-Nr. 9781441926111
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The Mathematical Theory of Finite Element Methods
Verlag:
Springer New York, Springer US, 2010
ISBN 10: 1441926119
ISBN 13: 9781441926111
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Taschenbuch
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti c disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAMwillpublishtextbookssuitableforuseinadvancedundergraduate and beginning graduate courses, and will complement the Applied Mat- matical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. Pasadena, California J.E. Marsden Providence, Rhode Island L. Sirovich College Park, Maryland S.S. Antman Preface to the Third Edition This edition contains four new sections on the following topics: the BDDC domain decomposition preconditioner (Section 7.8), a convergent ad- tive algorithm (Section 9.5), interior penalty methods (Section 10.5) and 1 Poincar e-Friedrichs inequalities for piecewise W functions (Section 10.6). Artikel-Nr. 9781441926111
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