A mesh refinement method for π΄π₯=ππ΅π₯
Stephen F. McCormick Β· Mathematics of Computation Β· 1981
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 A x = Ξ» B x Ax = \lambda Bx . 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.