A mesh refinement method for

Author:
Stephen F. McCormick

Journal:
Math. Comp. **36** (1981), 485-498

MSC:
Primary 65N25; Secondary 65F15, 65L15, 65R99

DOI:
https://doi.org/10.1090/S0025-5718-1981-0606508-4

MathSciNet review:
606508

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Abstract: The aim of this paper is to introduce a simple but efficient mesh refinement strategy for use with inverse iteration for finding one or a few solutions of an ordinary or partial differential eigenproblem of the form . The focus is upon the case where *A* and *B* are symmetric and *B* is positive definite, although the approaches have a very broad application. A discussion of the combined use of mesh refinement and a correction scheme multigrid technique is also provided. The methods are illustrated by numerical results from experiments with two-point boundary value problems.

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DOI:
https://doi.org/10.1090/S0025-5718-1981-0606508-4

Article copyright:
© Copyright 1981
American Mathematical Society