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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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Defect corrections for multigrid solutions of the Dirichlet problem in general domains
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by Winfried Auzinger PDF
Math. Comp. 48 (1987), 471-484 Request permission

Abstract:

Recently, the technique of defect correction for the refinement of discrete solutions to elliptic boundary value problems has gained new acceptance in connection with the multigrid approach. In the present paper we give an analysis of a specific application, namely to finite-difference analogues of the Dirichlet problem for Helmholtz’s equation, emphasizing the case of nonrectangular domains. A quantitative convergence proof is presented for a class of convex polygonal domains.
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Math. Comp. 48 (1987), 471-484
  • MSC: Primary 65B05; Secondary 65N20
  • DOI: https://doi.org/10.1090/S0025-5718-1987-0878685-7
  • MathSciNet review: 878685