عنوان

BEM-based finite element approaches on polytopal meshes /

شابک

303020961X

شابک

9783030209612

شابک اشتباه

3030209601

شابک اشتباه

9783030209605

عنوان اصلي

BEM-based finite element approaches on polytopal meshes /

نام عام مواد

[Book]

نام نخستين پديدآور

Steffen Weisser.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

[2019]

نام خاص و کميت اثر

1 online resource

عنوان فروست

Lecture notes in computational science and engineering ;

مشخصه جلد

130

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

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.

عنوان

BEM-based finite element approaches on polytopal meshes.

شماره استاندارد بين المللي کتاب و موسيقي

9783030209605

موضوع مستند نشده

Numerical grid generation (Numerical analysis), Congresses.

موضوع مستند نشده

Numerical grid generation (Numerical analysis)

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Weisser, Steffen

تاريخ عمليات

20200823091803.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y