Slow convergence in periodic homogenization problems for divergence-type elliptic operators (Q2821660)
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scientific article; zbMATH DE number 6629214
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Slow convergence in periodic homogenization problems for divergence-type elliptic operators |
scientific article; zbMATH DE number 6629214 |
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22 September 2016
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Dirichlet problem
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boundary layers
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Diophantine direction
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infinite regularity setting
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Slow convergence in periodic homogenization problems for divergence-type elliptic operators (English)
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The author presents some of his PhD thesis results on the slow convergence phenomenon in the periodic homogenization of a linear elliptic problem with Dirichlet boundary conditions. The convergece is slow due to the presence of a boundary layer around the parts of the domain where the Dirichlet condition is imposed. Assuming an infinite regularity setting, the author uses fine integral estimates to control from below the convergence rate of the (periodic) homogenization asymptotics.
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