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

B. Deka () and R. C. Deka ()
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B. Deka: Tezpur University
R. C. Deka: Tezpur University

Indian Journal of Pure and Applied Mathematics, 2013, vol. 44, issue 6, 823-847

Abstract: 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.

Keywords: Parabolic; Integro-differential equation; interface; finite element method; semi discrete and fully discrete; optimal error estimates (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s13226-013-0045-4

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