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A full discrete two-grid finite-volume method for a nonlinear parabolic problem. (English) Zbl 1221.65235
A nonlinear convection-diffusion problem in $\mathbb{R}^2$ is solved numerically with a fully discrete two-grid finite volume method. The method is based on solving the problem on a coarse mesh space and then take the resulting solution as the starting point to solve a linearized parabolic equation on the fine grid. The treatment largely parallels the one carried out by the first author [Appl. Math. Comput. 217, No. 19, 7546--7556 (2011; Zbl 1221.65234)] with a semi-discrete finite volume method. The numerical example chosen to illustrate the analysis is also the same.

65M08Finite volume methods (IVP of PDE)
35K55Nonlinear parabolic equations
65M15Error bounds (IVP of PDE)
65M55Multigrid methods; domain decomposition (IVP of PDE)
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