Convergence in the metric of \(L_ 2\) of the difference scheme of the finite element method for an elliptic equation with constant coefficients (Q1082784)
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scientific article; zbMATH DE number 3974219
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence in the metric of \(L_ 2\) of the difference scheme of the finite element method for an elliptic equation with constant coefficients |
scientific article; zbMATH DE number 3974219 |
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Convergence in the metric of \(L_ 2\) of the difference scheme of the finite element method for an elliptic equation with constant coefficients (English)
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1985
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For an elliptic equation with constant coefficients in the \(R_ 2\) plane, the author investigates the accuracy of the difference scheme obtained by the finite element method. It is shown that the scheme converges in the net norm of \(L_ p\) with first order accuracy for solutions of the differential problem from \(W^ 1_ p(R_ 2)\), \(p>2\) and with second order accuracy for solutions of the differential problem from \(W^ 2_ p(R_ 2)\), \(p>1\).
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difference scheme
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finite element method
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0.93160737
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0.89337844
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