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期刊论文

Two-grid scheme for characteristics finite-element solution of nonlinear convection diffusion problems

马逸尘Xin-qiang Qin ab* Yi-chen Ma a

Applied Mathematics and Computation 165(2005)419-431,-0001,():

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摘要/描述

A two-grid scheme for characteristics finite-element solution of nonlinear convection-dominated diffusion equations was constructed. The L2 and H1 error estimates of the scheme were derived. A numerical example was also presented. The scheme involves solving one small, nonlinear problem on the coarse-grid system, one linear problem on the fine-grid system. The error estimates and the numerical example show that the new scheme is efficient to the nonlinear convection-dominated diffusion equations.

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