Convergence analysis of a monotone method for fourth-order semilinear elliptic boundary value problems

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Abstract

This work is concerned with the convergence of a monotone method for fourth-order semilinear elliptic boundary value problems. A comparison result for the rate of convergence is given. The global error is analyzed, and some sufficient conditions are formulated for guaranteeing a geometric rate of convergence.

Original languageEnglish
Pages (from-to)332-339
Number of pages8
JournalApplied Mathematics Letters
Volume19
Issue number4
DOIs
StatePublished - Apr 2006

Keywords

  • Fourth-order elliptic equations
  • Global error
  • Monotone method
  • Rate of convergence

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