Mesh independent superlinear convergence of an inner-outer iterative method for semilinear elliptic interface problems

István Antal, János Karátson

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We propose the damped inexact Newton method, coupled with preconditioned inner iterations, to solve the finite element discretization of a class of nonlinear elliptic interface problems. The linearized equations are solved by a preconditioned conjugate gradient method. Both the inner and outer iterations exhibit mesh independent superlinear convergence.

Original languageEnglish
Pages (from-to)190-196
Number of pages7
JournalJournal of Computational and Applied Mathematics
Volume226
Issue number2
DOIs
Publication statusPublished - Apr 15 2009

Keywords

  • Conjugate gradient method
  • Damped inexact Newton method
  • Interface problem
  • Mesh independence
  • Numerical experiments
  • Preconditioning
  • Superlinear convergence

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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