\(L^{2}\)-global to local projection: An approach to multiscale analysis (Q2883364)
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scientific article; zbMATH DE number 6032262
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^{2}\)-global to local projection: An approach to multiscale analysis |
scientific article; zbMATH DE number 6032262 |
Statements
10 May 2012
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multiscale analysis
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homogenization
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global-local method
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gradient fields
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heterogenous media
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\(L_2\)-projection
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error analysis
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\(L^{2}\)-global to local projection: An approach to multiscale analysis (English)
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The authors propose a global-local method for recovering the microscale features of gradient fields inside heterogeneous media. The approach is based upon the \(L_{2}\) -projection of the homogenized solution onto function spaces spanned by solutions of local problems. The proposed projection framework is general and applies to local domains \(\omega\) on the interior of the domain of interest as well as those touching the boundary. An error analysis is also performed.
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