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Mathematics of Computation

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Finite element approximation of diffusion equations with convolution terms

Author: Malgorzata Peszynska
Journal: Math. Comp. 65 (1996), 1019-1037
MSC (1991): Primary 65M15; Secondary 45K05, 35K99, 76S05
MathSciNet review: 1344620
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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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Malgorzata Peszynska
Affiliation: Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6 01-447 Warszawa, Poland

Keywords: Integro--partial differential equations, finite elements, convolution integrals
Received by editor(s): May 2, 1994
Received by editor(s) in revised form: August 2, 1994, October 25, 1994, February 12, 1995, and May 15, 1995
Article copyright: © Copyright 1996 American Mathematical Society