On the approximate solution of nonlinear variational inequalities

Hans Detlef Mittelmann

doi:10.1007/BF01432881

On the approximate solution of nonlinear variational inequalities

Hans Detlef Mittelmann

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

5 Scopus citations

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 language	English (US)
Pages (from-to)	451-462
Number of pages	12
Journal	Numerische Mathematik
Volume	29
Issue number	4
DOIs	https://doi.org/10.1007/BF01432881
State	Published - Apr 1978
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/BF01432881

Cite this

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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.",

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AB - 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.

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

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ER -

On the approximate solution of nonlinear variational inequalities

Abstract

Keywords

ASJC Scopus subject areas

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