Domain decomposition interface preconditioners for fourth-order elliptic problems

Tony F. Chan*, Weinan E, Jiachang Sun

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We present preconditioners for the interface system arising from solving fourth-order elliptic equations with domain decomposition methods. These preconditioners are derived from a Fourier analysis of the interface operator. We show that the condition number of the interface Schur complement is of order O(h-3), where h is the grid size. Precise estimates concerning the decay properties of the elements of the Schur complement are also obtained. Relationships between interface preconditioners for second-order problems and fourth-order problems are established. Analytical as well as numerical results are given to assess the performance of these preconditioners.

Original languageEnglish (US)
Pages (from-to)317-331
Number of pages15
JournalApplied Numerical Mathematics
Issue number4-5
StatePublished - Jan 1 1991
Externally publishedYes


  • biharmonic equation
  • Domain decomposition
  • interface preconditioner.
  • Schur complement

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics


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