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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

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An iterative method for elliptic problems on regions partitioned into substructures
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by J. H. Bramble, J. E. Pasciak and A. H. Schatz PDF
Math. Comp. 46 (1986), 361-369 Request permission

Abstract:

Some new preconditioners for discretizations of elliptic boundary problems are studied. With these preconditioners, the domain under consideration is broken into subdomains and preconditioners are defined which only require the solution of matrix problems on the subdomains. Analytic estimates are given which guarantee that under appropriate hypotheses, the preconditioned iterative procedure converges to the solution of the discrete equations with a rate per iteration that is independent of the number of unknowns. Numerical examples are presented which illustrate the theoretically predicted iterative convergence rates.
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Math. Comp. 46 (1986), 361-369
  • MSC: Primary 65N20; Secondary 65F10, 65N30
  • DOI: https://doi.org/10.1090/S0025-5718-1986-0829613-0
  • MathSciNet review: 829613