Numerische Behandlung nichtlinearer Randwertprobleme mit finiten Elementen

H. D. Mittelmann

doi:10.1007/BF02248778

Numerische Behandlung nichtlinearer Randwertprobleme mit finiten Elementen

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

H. D. Mittelmann

Research output: Contribution to journal › Article › peer-review

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 contribution	Numerical treatment of nonlinear boundary-value problems by finite elements
Original language	German
Pages (from-to)	67-77
Number of pages	11
Journal	Computing
Volume	18
Issue number	1
DOIs	https://doi.org/10.1007/BF02248778
State	Published - Mar 1 1977
Externally published	Yes

ASJC Scopus subject areas

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

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10.1007/BF02248778

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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.",

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AB - 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.

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Numerische Behandlung nichtlinearer Randwertprobleme mit finiten Elementen

Abstract

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