Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

A mesh refinement method for $ Ax=\lambda Bx$


Author: Stephen F. McCormick
Journal: Math. Comp. 36 (1981), 485-498
MSC: Primary 65N25; Secondary 65F15, 65L15, 65R99
MathSciNet review: 606508
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 $ 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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65N25, 65F15, 65L15, 65R99

Retrieve articles in all journals with MSC: 65N25, 65F15, 65L15, 65R99


Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1981-0606508-4
PII: S 0025-5718(1981)0606508-4
Article copyright: © Copyright 1981 American Mathematical Society