Numerische Behandlung nichtlinearer Randwertprobleme mit finiten Elementen

Translated title of the contribution: Numerical treatment of nonlinear boundary-value problems by finite elements

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

Mixed boundary-value problems are considered for quasilinear uniformly elliptic differential equations as well as the minimal surface problem. The solution is approximated by the simplest finite element method. Assuming that the triangulation is uniform in the interior of the not necessarily convex domain, convergence is proved for all problems including pointwise estimates. Numerical results are given for a minimal and a capillary surface.

Translated title of the contributionNumerical treatment of nonlinear boundary-value problems by finite elements
Original languageGerman
Pages (from-to)67-77
Number of pages11
JournalComputing
Volume18
Issue number1
DOIs
StatePublished - Mar 1 1977
Externally publishedYes

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • Computer Science Applications
  • Computational Theory and Mathematics
  • Computational Mathematics

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