Postprocessing of a Finite Volume Element Method for Semilinear Parabolic Problems
نویسندگان
چکیده
In this paper, we study a postprocessing procedure for improving accuracy of the finite volume element approximations of semilinear parabolic problems. The procedure amounts to solve a source problem on a coarser grid and then solve a linear elliptic problem on a finer grid after the time evolution is finished. We derive error estimates in the L and H norms for the standard finite volume element scheme and an improved error estimate in the H norm. Numerical results demonstrate the accuracy and efficiency of the procedure. Mathematics Subject Classification. 65N30, 65N15. Received April 25, 2008. Revised December 8, 2008. Published online June 12, 2009.
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تاریخ انتشار 2009