Taschenbuch. Zustand: 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. Bestandsnummer des Verk�ufers 9783319812656

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Numerical Approximation of Partial Differential Equations

S�ren Bartels

Verlag: Springer International Publishing Mai 2018, 2018

ISBN 10: 3319812653 ISBN 13: 9783319812656

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Taschenbuch. Zustand: 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. Bestandsnummer des Verk�ufers 9783319812656

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Numerical Approximation of Partial Differential Equations (Texts in Applied Mathematics, 64)

Bartels, S�ren

Verlag: Springer, 2018

ISBN 10: 3319812653 ISBN 13: 9783319812656

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Numerical Approximation of Partial Differential Equations (Texts in Applied Mathematics)

S�ren Bartels

Verlag: Springer 2018-05-30, 2018

ISBN 10: 3319812653 ISBN 13: 9783319812656

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Paperback. Zustand: New. Bestandsnummer des Verk�ufers 6666-IUK-9783319812656

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Numerical Approximation of Partial Differential Equations

S�ren Bartels

Verlag: Springer International Publishing, 2018

ISBN 10: 3319812653 ISBN 13: 9783319812656

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Zustand: 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. Bestandsnummer des Verk�ufers 448756152

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