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Combined methods for elliptic equations with singularities, interfaces, and infinities /

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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 com...

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Bibliographic Details
Main Author: Li, Zi-Cai, 1939-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Dordrecht ; Boston : Kluwer Academic Publishers, [1998]
Series:Mathematics and its applications (Kluwer Academic Publishers) ; v. 444.
Subjects:
Differential equations, Elliptic > Numerical solutions.
Singularities (Mathematics)
Interface.
Méthode Ritz-Galerkin.
Equation Laplace.
Pénalisation.
Vent sur l'immeuble.
Méthode alternée Schwarz.
Elliptische Differentialgleichung.
Numerisches Verfahren.
Équations différentielles elliptiques.
Singularités (Mathématiques)
Electronic books.
Online Access:Connect to the full text of this electronic book
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.