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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.

 

An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces
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by Maxim A. Olshanskii, Arnold Reusken and Paul Schwering;
Math. Comp. 93 (2024), 2031-2065
DOI: https://doi.org/10.1090/mcom/3931
Published electronically: December 11, 2023

Abstract:

The paper introduces a geometrically unfitted finite element method for the numerical solution of the tangential Navier–Stokes equations posed on a passively evolving smooth closed surface embedded in $\mathbb {R}^3$. The discrete formulation employs finite difference and finite elements methods to handle evolution in time and variation in space, respectively. A complete numerical analysis of the method is presented, including stability, optimal order convergence, and quantification of the geometric errors. Results of numerical experiments are also provided.
References
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Bibliographic Information
  • Maxim A. Olshanskii
  • Affiliation: Department of Mathematics, University of Houston, Houston, Texas 77204-3008
  • MR Author ID: 343398
  • ORCID: 0000-0002-9102-6833
  • Email: maolshanskiy@uh.edu
  • Arnold Reusken
  • Affiliation: Institut für Geometrie und Praktische Mathematik, RWTH-Aachen University, D-52056 Aachen, Germany
  • MR Author ID: 147305
  • ORCID: 0000-0002-4713-9638
  • Email: reusken@igpm.rwth-aachen.de
  • Paul Schwering
  • Affiliation: Institut für Geometrie und Praktische Mathematik, RWTH-Aachen University, D-52056 Aachen, Germany
  • MR Author ID: 1540111
  • Email: schwering@igpm.rwth-aachen.de
  • Received by editor(s): February 1, 2023
  • Received by editor(s) in revised form: October 13, 2023
  • Published electronically: December 11, 2023
  • Additional Notes: The second and third authors were financially supported by the German Research Foundation (DFG) within the Research Unit “Vector- and tensor valued surface PDEs” (FOR 3013) with project no. RE 1461/11-2. The first author was partially supported by US National Science Foundation (NSF) through DMS-2309197.
  • © Copyright 2023 American Mathematical Society
  • Journal: Math. Comp. 93 (2024), 2031-2065
  • MSC (2020): Primary 65M12, 65M15, 65M60
  • DOI: https://doi.org/10.1090/mcom/3931
  • MathSciNet review: 4759369