On stable solution of one mixed problem for the Laplace equation (Q2719408)
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scientific article; zbMATH DE number 1609663
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On stable solution of one mixed problem for the Laplace equation |
scientific article; zbMATH DE number 1609663 |
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25 June 2001
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Laplace equation
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mixed problem
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stable approximate solution
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On stable solution of one mixed problem for the Laplace equation (English)
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The paper deals with the improperly posed mixed boundary value problem NEWLINE\[NEWLINE \begin{aligned} &\Delta u(M) = 0,\\ &u\big|_{S} = f,\\ &\frac{\partial u}{\partial n}\bigg|_S = g,\\ &u\big|_{x=0,l_x} = u\big|_{y=0,l_y} = 0. \end{aligned}\tag{1} NEWLINE\]NEWLINE A stable approximate solution is constructed which is uniformly convergent to the exact solution of problem~(1).
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