Two-grid methods for finite volume element approximations of nonlinear parabolic equations (Q1019777)
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scientific article; zbMATH DE number 5559036
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two-grid methods for finite volume element approximations of nonlinear parabolic equations |
scientific article; zbMATH DE number 5559036 |
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Two-grid methods for finite volume element approximations of nonlinear parabolic equations (English)
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28 May 2009
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The authors prove an error estimate for a finite-volume method for a reaction-diffusion equation on convex polygonal domains in the plane. The reaction term is nonlinear. At each time step the discrete nonlinear equation is solved on a coarse grid, and the result is used as an initial approximation for a Newton iteration on a fine grid.
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finite volume method
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reaction-diffusion equation
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error bound
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multigrid method
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Newton iteration
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