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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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The construction of preconditioners for elliptic problems by substructuring. IV
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by James H. Bramble, Joseph E. Pasciak and Alfred H. Schatz PDF
Math. Comp. 53 (1989), 1-24 Request permission

Abstract:

We consider the problem of solving the algebraic system of equations which result from the discretization of elliptic boundary value problems defined on three-dimensional Euclidean space. We develop preconditioners for such systems based on substructuring (also known as domain decomposition). The resulting algorithms are well suited to emerging parallel computing architectures. We describe two techniques for developing these preconditioners. A theory for the analysis of the condition number for the resulting preconditioned system is given and the results of supporting numerical experiments are presented.
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Math. Comp. 53 (1989), 1-24
  • MSC: Primary 65N30; Secondary 65F35
  • DOI: https://doi.org/10.1090/S0025-5718-1989-0970699-3
  • MathSciNet review: 970699