Some convergence rate estimates for finite difference schemes (Q2757727)
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scientific article; zbMATH DE number 1677978
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some convergence rate estimates for finite difference schemes |
scientific article; zbMATH DE number 1677978 |
Statements
28 November 2001
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Dirichlet boundary value problem
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finite difference schemes
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Sobolev spaces
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interpolation of function spaces
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convergence rate estimates
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second-order linear elliptic equation
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Some convergence rate estimates for finite difference schemes (English)
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The authors use function space interpolation to prove some convergence rate estimates for finite difference schemes. They concentrate on a Dirichlet boundary value problem for a second-order linear elliptic equation with variable coefficients in the unit 3-dimensional cube.It is assumed that the solution to the problem and the coefficients of the equation belong to corresponding Sobolev spaces.
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