On the approximate solution of nonlinear variational inequalities |
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| Authors: | Hans -Detlef Mittelmann |
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| Affiliation: | (1) Fachbereich Mathematik der Technischen Hochschule, Schloßgartenstr. 7, D-6100 Darmstadt, Germany (Fed. Rep.);(2) Present address: Abteilung Mathematik der Universität, Postfach 500500, D-4600 Dortmund 50, Germany (Fed. Rep.) |
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| Abstract: | Summary 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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| Keywords: | AMS(MOS): 65N30, 49D20 CR: 5.17, 5.15 |
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