BEM-based Finite Element Approaches on Polytopal Meshes: 130 (Lecture Notes in Computational Science and Engineering)

Wei�er, Steffen

ISBN 10: 3030209636 ISBN 13: 9783030209636

Edit� par Springer, 2020

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pp. 246 1st ed. 2019 edition NO-PA16APR2015-KAP. N� de r�f. du vendeur 26380195747

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Synopsis :

This book introduces readers to one of the first methods developed for the numerical treatment of boundary value problems on polygonal and polyhedral meshes, which it subsequently analyzes and applies in various scenarios. The BEM-based finite element approaches employs implicitly defined trial functions, which are treated locally by means of boundary integral equations. A detailed construction of high-order approximation spaces is discussed and applied to uniform, adaptive and anisotropic polytopal meshes.

The main benefits of these general discretizations are the flexible handling they offer for meshes, and their natural incorporation of hanging nodes. This can especially be seen in adaptive finite element strategies and when anisotropic meshes are used. Moreover, this approach allows for problem-adapted approximation spaces as presented for convection-dominated diffusion equations. All theoretical results and considerations discussed in the book are verified and illustrated by several numerical examples and experiments.

Given its scope, the book will be of interest to mathematicians in the field of boundary value problems, engineers with a (mathematical) background in finite element methods, and advanced graduate students.

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Titre : BEM-based Finite Element Approaches on ...
�diteur : Springer
Date d'�dition : 2020
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BEM-based Finite Element Approaches on Polytopal Meshes

Weier, Steffen

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BEM-based Finite Element Approaches on Polytopal Meshes (Lecture Notes in Computational Science and Engineering, 130)

Wei�er, Steffen

Edit� par Springer, 2020

ISBN 10 : 3030209636 ISBN 13 : 9783030209636

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BEM-based Finite Element Approaches on Polytopal Meshes (eng)

Wei�er, Steffen

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ISBN 10 : 3030209636 ISBN 13 : 9783030209636

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BEM-based Finite Element Approaches on Polytopal Meshes

Steffen Wei�er

Edit� par Springer International Publishing, 2020

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. State-of-the-art introduction, mathematical analysis and applications of the BEM-based FEM combined in one monograph.One of the first methods designed for the treatment of boundary value problems on polygonal and polyhedral me. N� de r�f. du vendeur 448675313

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BEM-based Finite Element Approaches on Polytopal Meshes

Steffen Wei�er

Edit� par Springer International Publishing, 2020

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book introduces readers to one of the first methods developed for the numerical treatment of boundary value problems on polygonal and polyhedral meshes, which it subsequently analyzes and applies in various scenarios. The BEM-based finite element approaches employs implicitly defined trial functions, which are treated locally by means of boundary integral equations. A detailed construction of high-order approximation spaces is discussed and applied to uniform, adaptive and anisotropic polytopal meshes. The main benefits of these general discretizations are the flexible handling they offer for meshes, and their natural incorporation of hanging nodes. This can especially be seen in adaptive finite element strategies and when anisotropic meshes are used. Moreover, this approach allows for problem-adapted approximation spaces as presented for convection-dominated diffusion equations. All theoretical results and considerations discussed in the book are verified and illustrated by several numerical examples and experiments. Given its scope, the book will be of interest to mathematicians in the field of boundary value problems, engineers with a (mathematical) background in finite element methods, and advanced graduate students. N� de r�f. du vendeur 9783030209636

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BEM-based Finite Element Approaches on Polytopal Meshes

Steffen Wei�er

Edit� par Springer International Publishing Aug 2020, 2020

ISBN 10 : 3030209636 ISBN 13 : 9783030209636

Neuf Taschenbuch

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book introduces readers to one of the first methods developed for the numerical treatment of boundary value problems on polygonal and polyhedral meshes, which it subsequently analyzes and applies in various scenarios. The BEM-based finite element approaches employs implicitly defined trial functions, which are treated locally by means of boundary integral equations. A detailed construction of high-order approximation spaces is discussed and applied to uniform, adaptive and anisotropic polytopal meshes. The main benefits of these general discretizations are the flexible handling they offer for meshes, and their natural incorporation of hanging nodes. This can especially be seen in adaptive finite element strategies and when anisotropic meshes are used. Moreover, this approach allows for problem-adapted approximation spaces as presented for convection-dominated diffusion equations. All theoretical results and considerations discussed in the book are verified and illustrated by several numerical examples and experiments. Given its scope, the book will be of interest to mathematicians in the field of boundary value problems, engineers with a (mathematical) background in finite element methods, and advanced graduate students. 264 pp. Englisch. N� de r�f. du vendeur 9783030209636

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BEM-based Finite Element Approaches on Polytopal Meshes

Steffen Wei�er

Edit� par Springer International Publishing, Springer International Publishing Aug 2020, 2020

ISBN 10 : 3030209636 ISBN 13 : 9783030209636

Neuf Taschenbuch

Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : Neu. Neuware -This book introduces readers to one of the first methods developed for the numerical treatment of boundary value problems on polygonal and polyhedral meshes, which it subsequently analyzes and applies in various scenarios. The BEM-based finite element approaches employs implicitly defined trial functions, which are treated locally by means of boundary integral equations. A detailed construction of high-order approximation spaces is discussed and applied to uniform, adaptive and anisotropic polytopal meshes. The main benefits of these general discretizations are the flexible handling they offer for meshes, and their natural incorporation of hanging nodes. This can especially be seen in adaptive finite element strategies and when anisotropic meshes are used. Moreover, this approach allows for problem-adapted approximation spaces as presented for convection-dominated diffusion equations. All theoretical results and considerations discussed in the book are verified and illustrated by several numerical examples and experiments.Given its scope, the book will be of interest to mathematicians in the field of boundary value problems, engineers with a (mathematical) background in finite element methods, and advanced graduate students.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 264 pp. Englisch. N� de r�f. du vendeur 9783030209636

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