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portada Bem-Based Finite Element Approaches on Polytopal Meshes
Type
Physical Book
Author
Publisher
Language
English
Pages
246
Format
Paperback
Dimensions
23.4x15.6x1.4 cm
Weight
0.38 kg.
ISBN13
9783030209636
Categories

Bem-Based Finite Element Approaches on Polytopal Meshes

Steffen Weißer (Author) · Springer · Paperback

Bem-Based Finite Element Approaches on Polytopal Meshes - Weißer, Steffen

New Book Imported to South Africa
Delivery: 26 Nov - 02 Dec Shipping: 5 to 6 business days.
R 1,230
R 1,230

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Synopsis "Bem-Based Finite Element Approaches on Polytopal Meshes"

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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