Continuation for parametrized nonlinear variational inequalities

Erich Miersemann, Hans Mittelmann

Research output: Contribution to journalArticle

18 Scopus citations

Abstract

A theoretical foundation is given for a recently proposed continuation method for nonlinear variational inequalities that depend on a parameter. The use of a specific norm of the solution for the continuation permits to extend known theoretical results for this problem. Additionally extensive numerical results were obtained that not only show the effectiveness of the proposed method. They also clarify the phenomenon of discrete or spurious transition points observed earlier.

Original languageEnglish (US)
Pages (from-to)23-34
Number of pages12
JournalJournal of Computational and Applied Mathematics
Volume26
Issue number1-2
DOIs
StatePublished - Jun 1989

Keywords

  • Continuation
  • bifurcation
  • limit points
  • nonlinear eigenvalue problems
  • obstacle problems
  • transition points
  • variational inequalities

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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