Finite element approximation of diffusion equations with convolution terms

Peszynska, Malgorzata

doi:10.1090/S0025-5718-96-00738-7

Finite element approximation of diffusion equations with convolution terms
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by Malgorzata Peszynska PDF

Math. Comp. 65 (1996), 1019-1037 Request permission

Abstract:

Approximation of solutions to diffusion equations with memory represented by convolution integral terms is considered. Such problems arise from modeling of flows in fissured media. Convergence of the method is proved and results of numerical experiments confirming the theoretical results are presented. The advantages of implementation of the algorithm in a multiprocessing environment are discussed.

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