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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 2024 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.

 

Constraint preserving implicit finite element discretization of harmonic map flow into spheres
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by Sören Bartels and Andreas Prohl;
Math. Comp. 76 (2007), 1847-1859
DOI: https://doi.org/10.1090/S0025-5718-07-02026-1
Published electronically: May 24, 2007

Abstract:

Discretization of the harmonic map flow into spheres often uses a penalization or projection strategy, where the first suffers from the proper choice of an additional parameter, and the latter from the lack of a discrete energy law, and restrictive mesh-constraints. We propose an implicit scheme that preserves the sphere constraint at every node, enjoys a discrete energy law, and unconditionally converges to weak solutions of the harmonic map heat flow.
References
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Bibliographic Information
  • Sören Bartels
  • Affiliation: Department of Mathematics, Humboldt-Universität zu Berlin, Unter den Linden 6, D-10099 Berlin, Germany
  • Email: sba@math.hu-berlin.de
  • Andreas Prohl
  • Affiliation: Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany
  • Email: prohl@na.uni-tuebingen.de
  • Received by editor(s): October 10, 2005
  • Received by editor(s) in revised form: September 11, 2006
  • Published electronically: May 24, 2007
  • Additional Notes: Supported by “Deutsche Forschungsgemeinschaft” through the DFG Research Center Matheon “Mathematics for key technologies” in Berlin
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 76 (2007), 1847-1859
  • MSC (2000): Primary 65M12, 65M60, 35K55, 35Q35
  • DOI: https://doi.org/10.1090/S0025-5718-07-02026-1
  • MathSciNet review: 2336271