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Finite element methods for approximating partial differential equations have reached a high degree of maturity, and are an indispensible tool in science and technology. This textbook aims at providing a thorough introduction to the construction, analysis, and implementation of finite element methods for model problems arising in continuum mechanics. The first part of the book discusses elementary properties of linear partial differential equations along with their basic numerical approximation, the functional-analytical framework for rigorously establishing existence of solutions, and the construction and analysis of basic finite element methods. The second part is devoted to the optimal adaptive approximation of singularities and the fast iterative solution of linear systems of equations arising from finite element discretizations. In the third part, the mathematical framework for analyzing and discretizing saddle-point problems is formulated, corresponding finte element methods are analyzed, and particular applications including incompressible elasticity, thin elastic objects, electromagnetism, and fluid mechanics are addressed. The book includes theoretical problems and practical projects for all chapters, and an introduction to the implementation of finite element methods.
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L'autore
Sören Bartels is Professor of Applied Mathematics at the Albert-Ludwigs University in Freiburg, Germany. His primary research interest is in the development and analysis of approximation schemes for nonlinear partial differential equations with applications in the simulation of modern materials. Professor Bartels has published the Springer textbook "Numerik 3x9" and the monograph "Numerical methods for nonlinear partial differential equations" in the Springer Series in Computational Mathematics.
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- EditoreSpringer Nature
- Data di pubblicazione2016
- ISBN 10 3319323539
- ISBN 13 9783319323534
- RilegaturaCopertina rigida
- LinguaInglese
- Numero edizione1
- Numero di pagine552
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Numerical Approximation of Partial Differential Equations: With online files / update (Texts in Applied Mathematics, 64, Band 64) [Hardcover] Bartels, Sören
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ISBN 10: 3319323539
ISBN 13: 9783319323534
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Numerical Approximation of Partial Differential Equations (Texts in Applied Mathematics, 64)
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Numerical Approximation of Partial Differential Equations
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ISBN 13: 9783319323534
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Finite element methods for approximating partial differential equations have reached a high degree of maturity, and are an indispensible tool in science and technology. This textbook aims at providing a thorough introduction to the construction, analysis, and implementation of finite element methods for model problems arising in continuum mechanics. The first part of the book discusses elementary properties of linear partial differential equations along with their basic numerical approximation, the functional-analytical framework for rigorously establishing existence of solutions, and the construction and analysis of basic finite element methods.The second part is devoted to the optimal adaptive approximation of singularities and the fast iterative solution of linear systems of equations arising from finite element discretizations. In the third part, the mathematical framework for analyzing and discretizing saddle-point problems is formulated, corresponding finte element methods are analyzed, and particular applications including incompressible elasticity, thin elastic objects, electromagnetism, and fluid mechanics are addressed. The book includes theoretical problems and practical projects for all chapters, and an introduction to the implementation of finite element methods. 552 pp. Englisch. Codice articolo 9783319323534
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Numerical approximation of partial differential equations. Texts in applied mathematics; Bd. volume 64.
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Numerical Approximation of Partial Differential Equations (Texts in Applied Mathematics, 64)
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Numerical Approximation of Partial Differential Equations
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ISBN 13: 9783319323534
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Finite element methods for approximating partial differential equations have reached a high degree of maturity, and are an indispensible tool in science and technology. This textbook aims at providing a thorough introduction to the construction, analysis, and implementation of finite element methods for model problems arising in continuum mechanics. The first part of the book discusses elementary properties of linear partial differential equations along with their basic numerical approximation, the functional-analytical framework for rigorously establishing existence of solutions, and the construction and analysis of basic finite element methods.The second part is devoted to the optimal adaptive approximation of singularities and the fast iterative solution of linear systems of equations arising from finite element discretizations. In the third part, the mathematical framework for analyzing and discretizing saddle-point problems is formulated, corresponding finte element methods are analyzed, and particular applications including incompressible elasticity, thin elastic objects, electromagnetism, and fluid mechanics are addressed. The book includes theoretical problems and practical projects for all chapters, and an introduction to the implementation of finite element methods. Codice articolo 9783319323534
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Finite Element Methods
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Matlab implementations illustrate the devised methodsProblems, projects, and quizzes allow for self-evaluationIncludes theoretical and physical backgrounds of mathematical modelsMatlab implementations illustrate the d. Codice articolo 119000653
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Numerical Approximation of Partial Differential Equations (Texts in Applied Mathematics, 64)
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Numerical Approximation of Partial Differential Equations (Texts in Applied Mathematics)
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