Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities
Author:   Zi Cai Li
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1998
Volume:   444
ISBN:  

9781461333401


Pages:   479
Publication Date:   10 December 2011
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities


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Overview

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.

Full Product Details

Author:   Zi Cai Li
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1998
Volume:   444
Dimensions:   Width: 16.00cm , Height: 2.60cm , Length: 24.00cm
Weight:   0.803kg
ISBN:  

9781461333401


ISBN 10:   1461333407
Pages:   479
Publication Date:   10 December 2011
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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