عنوان

BEM-based finite element approaches on polytopal meshes /

(Number (ISBN

303020961X

(Number (ISBN

9783030209612

Erroneous ISBN

3030209601

Erroneous ISBN

9783030209605

Title Proper

BEM-based finite element approaches on polytopal meshes /

General Material Designation

[Book]

First Statement of Responsibility

Steffen Weisser.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

[2019]

Specific Material Designation and Extent of Item

1 online resource

Series Title

Lecture notes in computational science and engineering ;

Volume Designation

130

Text of Note

Includes bibliographical references and index.

Text of Note

1. Introduction -- 2. Finite element method on polytopal meshes -- 3. Interpolation of non-smooth functions and anisotropic polytopal meshes -- 4. Boundary integral equations and their approximations -- 5. Adaptive BEM-based finite element method -- 6. Developments of mixed and problem-adapted BEM-based FEM.

0

Text of Note

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.

Title

BEM-based finite element approaches on polytopal meshes.

International Standard Book Number

9783030209605

Numerical grid generation (Numerical analysis), Congresses.

Numerical grid generation (Numerical analysis)

Number

Edition

Class number

Book number

Weisser, Steffen

Date of Transaction

20200823091803.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y