عنوان
پدید آورنده
موضوع
رده
QA377 .W45 2019
QA377
.
W45
2019
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9783030209612
NATIONAL BIBLIOGRAPHY NUMBER
Number
E355
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
BEM-based finite element approaches on polytopal meshes
First Statement of Responsibility
Steffen Weiber
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham, Switzerland
Name of Publisher, Distributor, etc.
Springer
Date of Publication, Distribution, etc.
2019
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
(Lecture notes in computational science and engineering
Dimensions
v. 130)
GENERAL NOTES
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
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index
SUMMARY OR ABSTRACT
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
TOPICAL NAME USED AS SUBJECT
Numerical grid generation (Numerical analysis) -- Congresses
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA377
Book number
.
W45
2019
PERSONAL NAME - PRIMARY RESPONSIBILITY
Weiber, Steffen
ORIGINATING SOURCE
Country
Iran
Agency
University of Tehran. Library of College of Science
ELECTRONIC LOCATION AND ACCESS
Date and Hour of Consultation and Access
UT_SCI_BL_DB_1002498_0001.pdf
e
BL
278840
a
Y
