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Simplicial Partitions with Applications to the Finite Element Method / by Jan Brandts, Sergey Korotov, Michal Křížek
(Springer Monographs in Mathematics. ISSN:21969922)

1st ed. 2020.
出版者 (Cham : Springer International Publishing : Imprint: Springer)
出版年 2020
本文言語 英語
大きさ XV, 188 p. 102 illus., 10 illus. in color : online resource
著者標目 *Brandts, Jan author
Korotov, Sergey author
Křížek, Michal author
SpringerLink (Online service)
件 名 LCSH:Numerical analysis
LCSH:Mathematics
LCSH:Mathematical analysis
LCSH:Chemometrics
FREE:Numerical Analysis
FREE:Applications of Mathematics
FREE:Analysis
FREE:Mathematical Applications in Chemistry
一般注記 This monograph focuses on the mathematical and numerical analysis of simplicial partitions and the finite element method. This active area of research has become an essential part of physics and engineering, for example in the study of problems involving heat conduction, linear elasticity, semiconductors, Maxwell's equations, Einstein's equations and magnetic and gravitational fields. These problems require the simulation of various phenomena and physical fields over complicated structures in three (and higher) dimensions. Since not all structures can be decomposed into simpler objects like d-dimensional rectangular blocks, simplicial partitions are important. In this book an emphasis is placed on angle conditions guaranteeing the convergence of the finite element method for elliptic PDEs with given boundary conditions. It is aimed at a general mathematical audience who is assumed to be familiar with only a few basic resultsfrom linear algebra, geometry, and mathematical and numerical analysis.
HTTP:URL=https://doi.org/10.1007/978-3-030-55677-8
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Springer eBooks 9783030556778
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EB00234457

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データ種別 電子ブック
分 類 LCC:QA297-299.4
DC23:518
書誌ID 4000135488
ISBN 9783030556778

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