Finite Volume Element Approximations of Integro-differential Parabolic Problems
نویسندگان
چکیده
In this paper we study nite volume element approximations for two dimensional parabolic integro di erential equations arising in modeling of nonlocal reactive ows in porous media These types of ows are also called NonFickian ows and exhibit mixing length growth For simplicity we only consider linear nite vol ume element methods although higher order volume elements can be considered as well under this framework It is proved that the nite element volume ap proximations derived are convergent with optimal order in H and L norm and superconvergent in a discrete H norm By examining the relationships between nite volume element and nite element approximations we prove convergence in L and W norms These results are also new for nite volume element methods for elliptic and parabolic equations
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