Convergence of a finite difference scheme for the third boundary-value problem (Q2781174)
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scientific article; zbMATH DE number 1720909
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of a finite difference scheme for the third boundary-value problem |
scientific article; zbMATH DE number 1720909 |
Statements
19 March 2002
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Sobolev spaces
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convergence
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third boundary-value problem
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elliptic equation
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variable coefficients
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generalized solution
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Convergence of a finite difference scheme for the third boundary-value problem (English)
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The convergence of a finite difference scheme that approximates the third boundary-value problem for an elliptic equation with variable coefficients on a unit square is studied. It is assumed that the generalized solution of the problem belongs to the Sobolev space \(W_2^3\). An almost second-order convergence rate estimate (with additional logarithmic multiplier) in the discrete \(W_2^1\) norm is obtained.
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