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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)
版 | 1st ed. 2020. |
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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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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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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 |
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分 類 | LCC:QA297-299.4 DC23:518 |
書誌ID | 4000135488 |
ISBN | 9783030556778 |