Adaptive wavelet methods for elliptic operator equations with nonlinear terms (Q1871992)
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scientific article; zbMATH DE number 1903991
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Adaptive wavelet methods for elliptic operator equations with nonlinear terms |
scientific article; zbMATH DE number 1903991 |
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Adaptive wavelet methods for elliptic operator equations with nonlinear terms (English)
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4 May 2003
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The authors present an adaptive wavelet method for the numerical solution of elliptic operator equations with nonlinear terms. The method is developed based on tree approximation for the solution of the equations and an adaptive fast reconstruction of nonlinear functionals of the wavelet expansions. A constructive greedy scheme is introduced. These adaptive methods generate approximate solutions with optimal order in both convergence and computational complexity when the solutions have certain degree of Besov regularity.
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adaptive wavelet methods
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tree approximation
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constructive greedy schemes
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elliptic operator equations
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convergence
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computational complexity
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Besov regularity
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