Coupled harmonic equations, SOR, and Chebyshev acceleration-Reference-Cited by-同舟云学术

Coupled harmonic equations, SOR, and Chebyshev acceleration

Published:1972 Issue:118 Volume:26 Page:335-343
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Ehrlich L. W.

Abstract

A coupled pair of harmonic equations is solved by the application of Chebyshev acceleration to the Jacobi, Gauss-Seidel, and related iterative methods, where the Jacobi iteration matrix has purely imaginary (or zero) eigenvalues. Comparison is made with a block SOR method used to solve the same problem.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1972-26-118/S0025-5718-1972-0311128-X/S0025-5718-1972-0311128-X.pdf

Reference24 articles.

1. On direct methods for solving Poisson’s equations;Buzbee, B. L.;SIAM J. Numer. Anal.,1970

2. R. Colony & R. R. Reynolds, An Application of Hockney’s Method for Solving Poisson’s Equation, Spring Joint Computer Conference (Atlantic City, N.J.), AFIPS Press, Montvale, N.J., 1970, pp. 409-416.

3. The block symmetric successive overrelaxation method;Ehrlich, Louis W.;J. Soc. Indust. Appl. Math.,1964

4. Solving the biharmonic equation as coupled finite difference equations;Ehrlich, Louis W.;SIAM J. Numer. Anal.,1971

5. Chebyshev semi-iterative methods, successive over-relaxation iterative methods, and second order Richardson iterative methods. I;Golub, Gene H.;Numer. Math.,1961

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2. BLOCK ITERATIVE METHODS FOR ONE DIMENSIONAL NONLINEAR BIHARMONIC PROBLEMS ON A PARALLEL COMPUTER*;Parallel Algorithms and Applications;1999-01

3. An approximate inverse based multigrid approach to the biharmonic problem;International Journal of Computer Mathematics;1991-01

4. Sor method andp-cyclic matrices (I);International Journal of Computer Mathematics;1990-01

5. Determination of the D 1/2 -Norm of the SOR Iterative Matrix for the Unsymmetric Case;Mathematics of Computation;1989-07