A multi-grid continuation strategy for parameter-dependent variational inequalities

Ronald H W Hoppe, Hans Mittelmann

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

For parameter-dependent nonlinear elliptic obstacle problems a path-following multi-grid continuation strategy is developed combining a nested iteration type scheme as predictor with a subsequent multi-grid method as corrector. The performance of the algorithm is illustrated by some numerical results for the Bratu problem.

Original languageEnglish (US)
Pages (from-to)35-46
Number of pages12
JournalJournal of Computational and Applied Mathematics
Volume26
Issue number1-2
DOIs
StatePublished - Jun 1989

Keywords

  • Multi-grid continuation
  • fold points
  • nonlinear complementarity problems
  • obstacle problems
  • variational inequalities

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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