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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem
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by T. Chaumont-Frelet
Math. Comp. 92 (2023), 2413-2437
Published electronically: June 20, 2023


We introduce two a posteriori error estimators for Nédélec finite element discretizations of the curl-curl problem. These estimators pertain to a new Prager–Synge identity and an associated equilibration procedure. They are reliable and efficient, and the error estimates are polynomial-degree-robust. In addition, when the domain is convex, the reliability constants are fully computable. The proposed error estimators are also cheap and easy to implement, as they are computed by solving divergence-constrained minimization problems over edge patches. Numerical examples highlight our key findings, and show that both estimators are suited to drive adaptive refinement algorithms. Besides, these examples seem to indicate that guaranteed upper bounds can be achieved even in non-convex domains.
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Bibliographic Information
  • T. Chaumont-Frelet
  • Affiliation: Inria, 2004 Route des Lucioles, 06902 Valbonne, France; and Laboratoire J.A. Dieudonné, Parc Valrose, 28 Avenue Valrose, 06108 Nice, France
  • MR Author ID: 999028
  • Email:
  • Received by editor(s): August 17, 2021
  • Received by editor(s) in revised form: September 19, 2022
  • Published electronically: June 20, 2023
  • © Copyright 2023 American Mathematical Society
  • Journal: Math. Comp. 92 (2023), 2413-2437
  • MSC (2020): Primary 65N30, 78M10, 65N15
  • DOI: