Die Approximation der Lösungen gemischter Randwertprobleme quasilinearer elliptischer Differentialgleichungen

Translated title of the contribution: The approximate solution of mixed boundary-value problems for quasilinear elliptic differential equations

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We consider boundary-value problems for differential equations, which are the Euler-Lagrange-equation of a variational problem that contains an additional integral along the boundary of the plane domain. For a discrete analogue of the variational problem we prove the existence of a unique solution and the discrete convergence of this solution to the solution of the continuous problem if the width of the mesh is refined. The shape of a capillary surface is computed using the given discretization and the SOR-Newton-algorithm.

Original languageGerman
Pages (from-to)253-265
Number of pages13
JournalComputing
Volume13
Issue number3-4
DOIs
StatePublished - Sep 1974
Externally publishedYes

Fingerprint

Elliptic Differential Equations
Mixed Boundary Value Problem
Variational Problem
Boundary value problems
Approximate Solution
Differential equations
Euler-Lagrange Equations
Unique Solution
Discretization
Boundary Value Problem
Mesh
Differential equation
Analogue

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computational Theory and Mathematics

Cite this

Die Approximation der Lösungen gemischter Randwertprobleme quasilinearer elliptischer Differentialgleichungen. / Mittelmann, Hans.

In: Computing, Vol. 13, No. 3-4, 09.1974, p. 253-265.

Research output: Contribution to journalArticle

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