On the approximate solution of nonlinear variational inequalities

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Nonlinear locally coercive variational inequalities are considered and especially the minimal surface over an obstacle. Optimal or nearly optimal error estimates are proved for a direct discretization of the problem with linear finite elements on a regular triangulation of the not necessarily convex domain. It is shown that the solution may be computed by a globally convergent relaxation method. Some numerical results are presented.

Original languageEnglish (US)
Pages (from-to)451-462
Number of pages12
JournalNumerische Mathematik
Volume29
Issue number4
DOIs
StatePublished - Apr 1978
Externally publishedYes

Fingerprint

Optimal Error Estimates
Relaxation Method
Convex Domain
Minimal surface
Triangulation
Variational Inequalities
Approximate Solution
Discretization
Finite Element
Numerical Results

Keywords

  • Subject Classifications: AMS(MOS): 65N30, 49D20, CR: 5.17, 5.15

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics
  • Mathematics(all)

Cite this

On the approximate solution of nonlinear variational inequalities. / Mittelmann, Hans.

In: Numerische Mathematik, Vol. 29, No. 4, 04.1978, p. 451-462.

Research output: Contribution to journalArticle

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