A new approximate method for second order elliptic problems with rapidly oscillating coefficients based on the method of multiscale asymptotic expansions (Q2642139)
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| Language | Label | Description | Also known as |
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| English | A new approximate method for second order elliptic problems with rapidly oscillating coefficients based on the method of multiscale asymptotic expansions |
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A new approximate method for second order elliptic problems with rapidly oscillating coefficients based on the method of multiscale asymptotic expansions (English)
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20 August 2007
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The authors consider a method of multiscale asymptotic expansions to solve all kinds of second order elliptic problems with rapidly oscillating coefficients very effectively. They prove pointwise estimates on the 1-order approximation of the weak solution \(G^{\varepsilon}_{x_0}\).
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method of multiscale asymptotic expansions
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second order elliptic equations
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rapidly oscillating coefficients
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error estimate
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