Numerical Approximation Methods for Elliptic Boundary Value Problems: Finite and Boundary Elements - Softcover

Steinbach, Olaf

 
9781441921734: Numerical Approximation Methods for Elliptic Boundary Value Problems: Finite and Boundary Elements
Softcover
ISBN 10: 1441921737 ISBN 13: 9781441921734
Verlag: Springer, 2010

Inhaltsangabe

This book presents a unified theory of the Finite Element Method and the Boundary Element Method for a numerical solution of second order elliptic boundary value problems. While there are textbooks on the finite element method, this is one of the first books on Theory of Boundary Element Methods. The book includes the solvability, stability, and error analysis as well as efficient methods to solve the resulting linear systems. Applications are the potential equation, the system of linear elastostatics and the Stokes system. The book is suitable for self study and exercises are included.

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Über die Autorin bzw. den Autor

Prof. Dr. Olaf Steinbach, Institut für Mathematik, TU Graz

Von der hinteren Coverseite

Although the aim of this book is to give a unified introduction into finite and boundary element methods, the main focus is on the numerical analysis of boundary integral and boundary element methods.

Starting from the variational formulation of elliptic boundary value problems boundary integral operators and associated boundary integral equations are introduced and analyzed. By using finite and boundary elements corresponding numerical approximation schemes are considered.

This textbook may serve as a basis for an introductory course in particular for boundary element methods including modern trends such as fast boundary element methods and efficient solution methods, as well as the coupling of finite and boundary element methods.

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Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
1441921737
ISBN 13 
9781441921734
Einband
Taschenbuch
Anzahl der Seiten
400
Kontakt zum Hersteller
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Deutschland

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9780387313122: Numerical Approximation Methods for Elliptic Boundary Value Problems: Finite and Boundary Elements

Vorgestellte Ausgabe

ISBN 10:  0387313125 ISBN 13:  9780387313122
Verlag: Springer, 2007
Hardcover