Superconvergence of the mixed nite element approximations to parabolic equations
نویسندگان
چکیده
Semidiscrete mixed nite element approximation to parabolic initial boundary value problems is introduced and analyzed Superconver gence estimates for both pressure and velocity are obtained The esti mates for the errors in pressure and velocity depend on the smoothness of the initial data including the limiting cases of data in L and data in H r for r su ciently large Because of the smoothing properties of the parabolic operator these estimates for large time levels esentailly coin side with the estimates obtained earlier for smooth solutions How ever for small time intervals we obtain the correct convergence orders for nonsmooth data
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