an:00053856
Zbl 0760.65092
Wesseling, Peter
An introduction to multigrid methods
EN
Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs \& Tracts. Chichester: John Wiley \& Sons Ltd. vii, 284 p. (1992).
1992
b
65M55 65N55 65-02 76M99 65M06 65N06 65M60 65N30 65M99 65N99
textbook; multigrid methods; finite difference; finite volume; convergence; computational fluid dynamics
This book gives a complete introduction to multigrid methods for partial differential equations. Only a basic understanding of analysis, partial differential equations and numerical analysis is necessary. First the essential principle of multigrid methods is introduced. Then finite difference and finite volume discretizations are given. A basic smoothing analysis is presented and convergence results for the whole multigrid algorithm are derived. Finally applications to computational fluid dynamics are discussed.
W.Heinrichs (D??sseldorf)