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＜電子ブック＞
Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities / by Zi Cai Li
(Mathematics and Its Applications ; 444)

版	1st ed. 1998.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	1998
本文言語	英語
大きさ	XXIV, 479 p : online resource
著者標目	*Zi Cai Li author SpringerLink (Online service)
件　名	LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 FREE:Computational Mathematics and Numerical Analysis FREE:Mathematical and Computational Engineering Applications
一般注記	I Singularities, Treatments and Combinations -- 1 Different Numerical Methods -- 2 Singularities and Treatments -- II Combined Methods -- 3 Boundary Approximation Methods -- 4 Combinations of RGM and FEM -- 5 Combinations of Various Fems -- III Coupling Techniques -- 6 Lagrange Multipliers and Other Coupling Techniques -- 7 Penalty Techniques -- 8 Simplified Hybrid Methods -- 9 Penalty Plus Hybrid Techniques -- 10 Optimal Combinations for Various Fems -- 11 Combinations of RGM and FDM -- IV Applications and Advanced Topics -- 12 Crack-Infinity Problem -- 13 Wind Flow Over Buildings -- 14 Global Superconvergence In Combinations -- 15 Iterative Substructing Methods -- 16 Schwarz Alternating Method -- Epilogue -- Epilogue -- References -- Glossary of Symbols In this book the author sets out to answer two important questions: 1. Which numerical methods may be combined together? 2. How can different numerical methods be matched together? In doing so the author presents a number of useful combinations, for instance, the combination of various FEMs, the combinations of FEM-FDM, REM-FEM, RGM-FDM, etc. The combined methods have many advantages over single methods: high accuracy of solutions, less CPU time, less computer storage, easy coupling with singularities as well as the complicated boundary conditions. Since coupling techniques are essential to combinations, various matching strategies among different methods are carefully discussed. The author provides the matching rules so that optimal convergence, even superconvergence, and optimal stability can be achieved, and also warns of the matching pitfalls to avoid. Audience: The book is intended for both mathematicians and engineers and may be used as text for advanced students HTTP:URL=https://doi.org/10.1007/978-1-4613-3338-8

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