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Richardson extrapolation and defect correction of mixed finite element methods for integro-differential equations in porous media

Shanghui JiaDeli LiTang LiuShu Hua Zhang — 2008

Applications of Mathematics

Asymptotic error expansions in the sense of L -norm for the Raviart-Thomas mixed finite element approximation by the lowest-order rectangular element associated with a class of parabolic integro-differential equations on a rectangular domain are derived, such that the Richardson extrapolation of two different schemes and an interpolation defect correction can be applied to increase the accuracy of the approximations for both the vector field and the scalar field by the aid of an interpolation postprocessing...

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