A two-grid discretization method for decoupling systems of partial differential equations

Jicheng Jin, Shi Shu, Jinchao Xu

Research output: Contribution to journalArticlepeer-review

53 Scopus citations

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. © 2006 American Mathematical Society.
Original languageEnglish (US)
Pages (from-to)1617-1626
Number of pages10
JournalMathematics of Computation
Volume75
Issue number256
DOIs
StatePublished - Oct 1 2006
Externally publishedYes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

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