Accession Number : ADA294291

Title :   Introduction To Multigrid Methods.

Descriptive Note : Contract rept.,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Wesseling, P.

PDF Url : ADA294291

Report Date : FEB 1995

Pagination or Media Count : 137

Abstract : These notes were written for an introductory course on the application of multigrid methods to elliptic and hyperbolic partial differential equations for engineers, physicists and applied mathematicians. The use of more advanced mathematical tools, such as functional analysis, is avoided. The course is intended to be accessible to a wide audience of users of computational methods. We restrict ourselves to finite volume and finite difference discretization. The basic principles are given. Smoothing methods and Fourier smoothing analysis are reviewed. The fundamental multigrid algorithm is studied. The smoothing and coarse grid approximation properties are discussed. Multigrid schedules and structured programming of multigrid algorithms are treated. Robustness and efficiency are considered. (AN)

Descriptors :   *MATHEMATICAL MODELS, *GRIDS, *PARTIAL DIFFERENTIAL EQUATIONS, ALGORITHMS, TWO DIMENSIONAL, EIGENVALUES, MATHEMATICAL PROGRAMMING, FORTRAN, FINITE DIFFERENCE THEORY, SOLUTIONS(GENERAL), APPROXIMATION(MATHEMATICS), BOUNDARY VALUE PROBLEMS, FUNCTIONAL ANALYSIS, NUMERICAL METHODS AND PROCEDURES, APPLIED MATHEMATICS, INTEGRAL EQUATIONS, ITERATIONS, FOURIER ANALYSIS, HYPERBOLIC DIFFERENTIAL EQUATIONS, STRUCTURED PROGRAMMING.

Subject Categories : Numerical Mathematics
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE