Technical Report CS0809

TR#:CS0809
Class:CS
Title: A MODIFIED ALGEBRAIC MULTIGRID METHOD WITH APPLICATION TO NONSYMMETRIC AND INDEFINITE PARTIAL DIFFERENTIAL EQUATIONS.
Authors: Y. Shapira
PDFCS0809.pdf
Abstract:

A modified algebraic multigrid method for the solution of sparse linear systems of equations is presented. It is automatic in the sense that it depends on the linear system of equations solely, unlike classical multigrid which requires information about the differential equation. It is well-defined regardless of any special structure of the coefficient-matrix. It is applicable to non-uniform grids and non-rectangular domains almost as efficiently as for uniform grids on a rectangle. When supplemented with an acceleration method, it converges for non-symmetric, singular perturbation and indefinite equations in a small number of iterations.

CopyrightThe above paper is copyright by the Technion, Author(s), or others. Please contact the author(s) for more information

Remark: Any link to this technical report should be to this page (http://www.cs.technion.ac.il/users/wwwb/cgi-bin/tr-info.cgi/1994/CS/CS0809), rather than to the URL of the PDF files directly. The latter URLs may change without notice.

To the list of the CS technical reports of 1994
To the main CS technical reports page

Computer science department, Technion
admin