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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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On the robustness of the BPX-preconditioner with respect to jumps in the coefficients
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by Peter Oswald PDF
Math. Comp. 68 (1999), 633-650 Request permission


We determine the worst case behavior of the standard BPX-preconditioner for elliptic problems with arbitrary coefficient jumps along the boundaries of the coarsest partition. The counterexamples are also useful for other problems.
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Additional Information
  • Peter Oswald
  • Affiliation: Bell Laboratories, Lucent Technologies, 600 Mountain Ave., Rm. 2C-403, Murray Hill, NJ 07974-0636
  • Email:
  • Received by editor(s): July 12, 1996
  • Received by editor(s) in revised form: September 22, 1997
  • © Copyright 1999 American Mathematical Society
  • Journal: Math. Comp. 68 (1999), 633-650
  • MSC (1991): Primary 65N22, 65N55, 65F10
  • DOI:
  • MathSciNet review: 1620239