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Titlebook: Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities; Zi Cai Li Book 19981st edition Kluwer Academic Publ

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书目名称Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities
编辑Zi Cai Li
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities;  Zi Cai Li Book 19981st edition Kluwer Academic Publ
描述In this book the author sets out to answer two importantquestions: 1. Which numerical methods may be combined together? 2. Howcan different numerical methods be matched together? In doing so theauthor presents a number of useful combinations, for instance, thecombination of various FEMs, the combinations of FEM-FDM,REM-FEM, RGM-FDM, etc. The combined methods have manyadvantages over single methods: high accuracy of solutions, less CPUtime, less computer storage, easy coupling with singularities as wellas the complicated boundary conditions. Since coupling techniques areessential to combinations, various matching strategies among differentmethods are carefully discussed. The author provides the matchingrules so that optimal convergence, even superconvergence, and optimalstability can be achieved, and also warns of the matching pitfalls toavoid. ..Audience:. The book is intended for both mathematicians andengineers and may be used as text for advanced students.
出版日期Book 19981st edition
关键词Approximation; finite element method; numerical method; stability
版次1
doihttps://doi.org/10.1007/978-1-4613-3338-8
isbn_softcover978-1-4613-3340-1
isbn_ebook978-1-4613-3338-8
copyrightKluwer Academic Publishers 1998
The information of publication is updating

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Optimal Combinations for Various Femsrage, in particular when . is much larger than .. Therefore, the use of FEM combinations is important in both theoretical and practical aspects. Unfortunately, the reduced rates of convergence are often caused by the nonconforming constraints in Chapter 5. Naturally a question arises: Can we find ot
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ence, even superconvergence, and optimalstability can be achieved, and also warns of the matching pitfalls toavoid. ..Audience:. The book is intended for both mathematicians andengineers and may be used as text for advanced students.978-1-4613-3340-1978-1-4613-3338-8
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Mathematics and Its Applicationss, . and .. Since . ∈ .(.) only, the linear FEM has to be used on . with relatively small linear elements. Clearly, the .-order Lagrange FEM ought to be used on . because . ∈ ..(.) (. ≥ 2). We hope that relatively large, .-order elements are applied in . such that calculation work and storage space
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