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- W1946834781 abstract "We study the optimal approximation of the solution of an operator equation Au=f by linear mappings ofrank n and compare this with the best n-term approximation with respect to an optimal Riesz basis. We consider worst case errors, where f is an element of the unit ball of a Hilbert space. We apply our results to boundary value problems for elliptic PDEs on an arbitrary bounded Lipschitz domain. Here we prove that approximation by linear mappings is as good as the best n-term approximation with respect to an optimal Riesz basis. Our results are concerned withapproximation, not with computation. Our goal is to understand better the possibilities of nonlinear approximation." @default.
- W1946834781 created "2016-06-24" @default.
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- W1946834781 date "2004-01-01" @default.
- W1946834781 modified "2023-10-07" @default.
- W1946834781 title "Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings" @default.
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