An algebraic multigrid method for finite element systems on criss-cross grids

Shi Shu, Jinchao Xu, Ying Yang, Haiyuan Yu

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

In this paper, we design and analyze an algebraic multigrid method for a condensed finite element system on criss-cross grids and then provide a convergence analysis. Criss-cross grid finite element systems represent a large class of finite element systems that can be reduced to a smaller system by first eliminating certain degrees of freedoms. The algebraic multigrid method that we construct is analogous to many other algebraic multigrid methods for more complicated problems such as unstructured grids, but, because of the specialty of our problem, we are able to provide a rigorous convergence analysis to our algebraic multigrid method.

Original languageEnglish (US)
Pages (from-to)287-304
Number of pages18
JournalAdvances in Computational Mathematics
Volume25
Issue number1-3
DOIs
StatePublished - Jul 1 2006

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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