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Cover: 9781441921734 | Numerical Approximation Methods for Elliptic Boundary Value Problems
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Numerical Approximation Methods for Elliptic Boundary Value Problems
Finite and Boundary Elements
Taschenbuch von Olaf Steinbach
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung
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.
Inhaltsverzeichnis
Boundary Value Problems.- Function Spaces.- Variational Methods.- Variational Formulations of Boundary Value Problems.- Fundamental Solutions.- Boundary Integral Operators.- Boundary Integral Equations.- Approximation Methods.- Finite Elements.- Boundary Elements.- Finite Element Methods.- Boundary Element Methods.- Iterative Solution Methods.- Fast Boundary Element Methods.- Domain Decomposition Methods.
Details
Erscheinungsjahr: 2010
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xii
386 S.
ISBN-13: 9781441921734
ISBN-10: 1441921737
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Steinbach, Olaf
Auflage: Softcover reprint of hardcover 1st ed. 2008
Hersteller: Springer New York
Springer US, New York, N.Y.
Maße: 235 x 155 x 22 mm
Von/Mit: Olaf Steinbach
Erscheinungsdatum: 15.10.2010
Gewicht: 0,604 kg
Artikel-ID: 107253150
Zusammenfassung
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.
Inhaltsverzeichnis
Boundary Value Problems.- Function Spaces.- Variational Methods.- Variational Formulations of Boundary Value Problems.- Fundamental Solutions.- Boundary Integral Operators.- Boundary Integral Equations.- Approximation Methods.- Finite Elements.- Boundary Elements.- Finite Element Methods.- Boundary Element Methods.- Iterative Solution Methods.- Fast Boundary Element Methods.- Domain Decomposition Methods.
Details
Erscheinungsjahr: 2010
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xii
386 S.
ISBN-13: 9781441921734
ISBN-10: 1441921737
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Steinbach, Olaf
Auflage: Softcover reprint of hardcover 1st ed. 2008
Hersteller: Springer New York
Springer US, New York, N.Y.
Maße: 235 x 155 x 22 mm
Von/Mit: Olaf Steinbach
Erscheinungsdatum: 15.10.2010
Gewicht: 0,604 kg
Artikel-ID: 107253150
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