Adaptive Crank-nicolson Methods for Parabolic Problems
نویسندگان
چکیده
In this paper we present a posteriori error estimators for the approximate solutions of linear parabolic equations. We consider discretizations of the problem by discontinuous Galerkin method in time corresponding to variant Crank-Nicolson schemes and continuous Galerkin method in space. Especially, £nite element spaces are permitted to change at different time levels. Exploiting Crank-Nicolson reconstruction idea introduced by Akrivis, Makridakis & Nochetto [1], we derive space-time a posteriori error estimators of second order in time for variant Crank-Nicolson-Galerkin £nite element methods.
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