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Convergence theorems for intermediate problems. II

Published online by Cambridge University Press:  12 July 2007

Christopher A. Beattie  and
W. M. Greenlee
Christopher A. Beattie
Affiliation:
Department of Mathematics, Virginia Tech, Blacksburg, VA 24061, USA
W. M. Greenlee
Affiliation:
Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA
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Abstract

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Convergence theorems for the practical eigenvector free methods of Gay and Goerisch are obtained under a variety of hypotheses, so that our theorems apply to both traditional boundary-value problems and atomic problems. In addition, we prove convergence of the T*T method of Bazley and Fox without an alignment of projections hypothesis required in previous literature.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 5 , October 2002 , pp. 1057 - 1072
Copyright
Copyright © Royal Society of Edinburgh 2002