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Finite element method for a class of parabolic integro-differential equations with interfaces

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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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Authors and Affiliations

  1. Department of Mathematical Sciences, Tezpur University, Napaam, Tezpur, 784028, India

    B. Deka & R. C. Deka

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  1. B. Deka
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  2. R. C. Deka
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Deka, B., Deka, R.C. Finite element method for a class of parabolic integro-differential equations with interfaces. Indian J Pure Appl Math 44, 823–847 (2013). https://doi.org/10.1007/s13226-013-0045-4

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  • DOI: https://doi.org/10.1007/s13226-013-0045-4

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