Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities

Zi Cai Li (Autor)

Buch | Softcover

479 Seiten

2011 | Softcover reprint of the original 1st ed. 1998
Springer-Verlag New York Inc.
978-1-4613-3340-1 (ISBN)

Artikel merken

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.

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.

Reihe/Serie	Mathematics and Its Applications ; 444
Reihe/Serie	Mathematics and Its Applications ; 444
Zusatzinfo	XXIV, 479 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	160 x 240 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	1-4613-3340-7 / 1461333407
ISBN-13	978-1-4613-3340-1 / 9781461333401
Zustand	Neuware