Accession Number : ADA189081

Title :   Multigrid Applied to Singular Perturbation Problems.

Descriptive Note : Final rept.,

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

Personal Author(s) : Kamowitz, David

PDF Url : ADA189081

Report Date : Jan 1987

Pagination or Media Count : 28

Abstract : The solution of the singular perturbation problem (epsilon u 2 primers + b(x) u one primer = f, 0x1 with 1e0, u(0)=u sub0, u(1)=u1 by a multigrid algorithm is considered. Theoretical and experimental results for a number of different discretizations are presented. The theoretical and observed rates agree with the results developed in an earlier work. In addition, the rate of convergence of the algorithm when the coarse grid operator is the natural finite difference analogue of the fine grid operator is presented. This is in contrast to the case on the previous work where the Galerkin choice (I subscript H sub h) (L sub h) (I subscript h sub H).

Descriptors :   *PERTURBATIONS, *FINITE DIFFERENCE THEORY, ALGORITHMS, CONTRAST, GRIDS, OPERATORS(MATHEMATICS)

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE