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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 a covolume scheme for Maxwell’s equations in three dimensions
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by R. A. Nicolaides and D.-Q. Wang PDF
Math. Comp. 67 (1998), 947-963 Request permission

Abstract:

This paper contains error estimates for covolume discretizations of Maxwell’s equations in three space dimensions. Several estimates are proved. First, an estimate for a semi-discrete scheme is given. Second, the estimate is extended to cover the classical interlaced time marching technique. Third, some of our unstructured mesh results are specialized to rectangular meshes, both uniform and nonuniform. By means of some additional analysis it is shown that the spatial convergence rate is one order higher than for the unstructured case.
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Additional Information
  • R. A. Nicolaides
  • Affiliation: Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213
  • Address at time of publication: Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213
  • Email: rn0m@andrew.cmu.edu
  • D.-Q. Wang
  • Affiliation: Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213
  • Address at time of publication: Department of Mathematical Sciences, University of Delaware, Newark, DE 19716
  • Email: dqwang@math.udel.edu
  • Received by editor(s): September 15, 1995
  • Received by editor(s) in revised form: March 25, 1996
  • © Copyright 1998 American Mathematical Society
  • Journal: Math. Comp. 67 (1998), 947-963
  • MSC (1991): Primary 65N30, 65N15, 35L50
  • DOI: https://doi.org/10.1090/S0025-5718-98-00971-5
  • MathSciNet review: 1474654