Finite element method for a class of parabolic integro-differential equations with interfaces |
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Authors: | B Deka R C Deka |
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Institution: | 1. Department of Mathematical Sciences, Tezpur University, Napaam, Tezpur, 784028, India
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Abstract: | In this paper, convergence of finite element method for a class of parabolic integro-differential equations with discontinuous coefficients are analyzed. Optimal L 2(L 2) and L 2 (H 1) norms are shown to hold when the finite element space consists of piecewise linear functions on a mesh that do not require to fit exactly to the interface. Both continuous time and discrete time Galerkin methods are discussed for arbitrary shape but smooth interfaces. |
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