The mortar method in the wavelet context (Q2781501)
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scientific article; zbMATH DE number 1721503
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The mortar method in the wavelet context |
scientific article; zbMATH DE number 1721503 |
Statements
20 March 2002
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domain decomposition
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mortar method
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wavelet approximation
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stability
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convergence
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error estimate
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0.9712385
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0.91396075
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0.89203614
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0.8552576
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0.8528173
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The mortar method in the wavelet context (English)
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This paper analyzes mathematically the use of wavelets in the framework of the mortar method. It starts with the reviews of the theory of the mortar method for non-conforming domain decomposition; in particular, it points out some basic assumptions under which stability and convergence of such method can be proved. Next, it analyzes the construction of mortar approximation spaces in the biorthogonal wavelet framework. An a priori error estimate is given and it is optimal in the geometrically conforming case.NEWLINENEWLINENEWLINEThe paper is essentially theoretical and does not include any numerical experiments. It is nicely written.
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