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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 2020 MCQ for Mathematics of Computation is 1.78.

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Convergence analysis of domain decomposition algorithms with full overlapping for the advection-diffusion problems
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by P. Le Tallec and M. D. Tidriri PDF
Math. Comp. 68 (1999), 585-606 Request permission

Abstract:

The aim of this paper is to study the convergence properties of a time marching algorithm solving advection-diffusion problems on two domains using incompatible discretizations. The basic algorithm is first described, and theoretical and numerical results that illustrate its convergence properties are then presented.
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Additional Information
  • P. Le Tallec
  • Affiliation: INRIA, Domaine de Voluceau Rocquencourt, B.P. 105, Le Chesnay Cedex, France
  • Email: Partrick.LeTallec@inria.fr
  • M. D. Tidriri
  • Affiliation: Iowa State University, Department of Mathematics, 400 Carver Hall, Ames, IA 50011
  • Email: tidriri@iastate.edu
  • Received by editor(s): January 11, 1995
  • Received by editor(s) in revised form: April 5, 1996, and November 21, 1996
  • Additional Notes: This work has been supported by the Hermes Research program under grant number RDAN 86.1/3. The second author was also supported by the National Science Foundation under contract number ECS-8957475 and by the United Technologies Research Center while he was at Yale University.
  • © Copyright 1999 American Mathematical Society
  • Journal: Math. Comp. 68 (1999), 585-606
  • MSC (1991): Primary 65Jxx, 65M12, 65C20, 76Nxx, 82Cxx
  • DOI: https://doi.org/10.1090/S0025-5718-99-01030-3
  • MathSciNet review: 1613715