Cea's error estimate for strongly monotone variational inequalities |
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| Authors: | Joachim Gwinner |
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| Institution: | Department of Mathematics , Technische Hochschule Darmstadt , F.R. Germany, Darmstadt, D-6100 |
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| Abstract: | Céa's approximation lemma is extended to variational inequalities which are defined by strongly monotone operators in closed convex subsets of linear normed spaces. This abstract error estimate is applied to the finite element discretization of a nonlinear elliptic two-sided obstacle problem providing an asymptotic error estimate for a smooth enough solution. |
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| Keywords: | Cea's lemma monotone operator variational inequality p-Laplacian obstacle problem finite element discretization |
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