BEM-based Finite Element Approaches on Polytopal Meshes

Language: English

Published by Springer, Springer VS Jul 2019, 2019

3030209601 / 9783030209605

Series: Book 103 of 111 - Lecture Notes in Computational Science and Engineering

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This item is printed on demand - Print on Demand Titel. 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 KG, Sachsenplatz 4-6, 1201 Wien 264 pp. Englisch.…

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Title
BEM-based Finite Element Approaches on Polytopal Meshes
Author
Steffen Weißer
Publisher
Springer, Springer VS Jul 2019
Publication year
2019
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3030209601
ISBN 13
9783030209605
Item weight
565 grams
Dimensions
241x160x20 mm
Series
Book 103 of 111: Lecture Notes in Computational Science and Engineering

buchversandmimpf2000

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