Quantitative error estimates for coefficient idealization in linear elliptic problems. (English) Zbl 0810.35147
Summary: We give a thorough quantitative error analysis for the effect of coefficient idealization on solutions of linear elliptic boundary value problems. The a posteriori error estimate is derived by a tactful application of the duality theory in convex analysis. The estimate involves an auxiliary function subject to certain constraint. We discuss in detail the selection of a good auxiliary function for various cases. Numerical examples show the effectiveness of our a posteriori error estimate.
Keywords:
coefficient idealization; application of the duality theory in convex analysis; auxiliary functionReferences:
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