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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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A two-grid discretization method for decoupling systems of partial differential equations
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by Jicheng Jin, Shi Shu and Jinchao Xu PDF
Math. Comp. 75 (2006), 1617-1626 Request permission

Abstract:

In this paper, we propose a two-grid finite element method for solving coupled partial differential equations, e.g., the Schrödinger-type equation. With this method, the solution of the coupled equations on a fine grid is reduced to the solution of coupled equations on a much coarser grid together with the solution of decoupled equations on the fine grid. It is shown, both theoretically and numerically, that the resulting solution still achieves asymptotically optimal accuracy.
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Additional Information
  • Jicheng Jin
  • Affiliation: Institute for Computational and Applied Mathematics and Department of Mathematics, Xiangtan University, People’s Republic of China
  • Email: jjc@xtu.edu.cn
  • Shi Shu
  • Affiliation: Institute for Computational and Applied Mathematics and Department of Mathematics, Xiangtan University, People’s Republic of China
  • Email: shushi@xtu.edu.cn
  • Jinchao Xu
  • Affiliation: Institute for Computational and Applied Mathematics, Xiangtan University, People’s Republic of China; and Center for Computational Mathematics and Applications, Pennsylvania State University, Pennsylvania
  • MR Author ID: 228866
  • Email: xu@math.psu.edu
  • Received by editor(s): May 19, 2005
  • Received by editor(s) in revised form: August 15, 2005
  • Published electronically: July 11, 2006
  • Additional Notes: The research of the first and second authors was supported by NSAF(10376031) and the National Major Key Project for Basic Research and National High-Tech ICF Committee in China.
    The research of the third author was supported in part by NSF DMS-0209497 and NSF DMS-0215392 and the Furong Scholar Program of Hunan Province through Xiangtan University
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 75 (2006), 1617-1626
  • MSC (2000): Primary 65N50, 65N30
  • DOI: https://doi.org/10.1090/S0025-5718-06-01869-2
  • MathSciNet review: 2240627