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 |  | 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 | doi | https://doi.org/10.1007/978-1-4613-3338-8 | isbn_softcover | 978-1-4613-3340-1 | isbn_ebook | 978-1-4613-3338-8 | copyright | Kluwer Academic Publishers 1998 |
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