Numerical Approximation Methods for Elliptic Boundary Value Problems

Olaf Steinbach

ISBN 10: 1441921737 / ISBN 13: 9781441921734

Editore: Springer New York, Springer New York Okt 2010, 2010

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Neuware -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. This 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. While there are textbooks on the finite element method, this is one of the first books on Theory of Boundary Element Methods. It is suitable for self study and exercises are included.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 400 pp. Englisch.

Codice articolo 9781441921734

Dati bibliografici

• Titolo: Numerical Approximation Methods for Elliptic Boundary Value Problems
• Editore: Springer New York, Springer New York Okt 2010
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 1441921737
• ISBN 13: 9781441921734
• Rilegatura: Taschenbuch
• Condizione: Neu

Descrizione articolo

Riassunto

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.

Dalla quarta di copertina

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.