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 Citations (Scopus)

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.

Original languageGerman
Pages (from-to)67-77
Number of pages11
JournalComputing
Volume18
Issue number1
DOIs
StatePublished - Mar 1977
Externally publishedYes

Fingerprint

Nonlinear Boundary Value Problems
Boundary value problems
Finite Element
Elliptic Differential Equations
Pointwise Estimates
Mixed Boundary Value Problem
Convex Domain
Minimal surface
Triangulation
Interior
Differential equations
Finite Element Method
Finite element method
Numerical Results

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computational Theory and Mathematics

Cite this

Numerische Behandlung nichtlinearer Randwertprobleme mit finiten Elementen. / Mittelmann, Hans.

In: Computing, Vol. 18, No. 1, 03.1977, p. 67-77.

Research output: Contribution to journalArticle

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