Finite element schemes for a class of nonlocal parabolic systems with moving boundaries

2015/10/12 by Almeida, Rui M. P., Duque, José C. M., Ferreira, Jorge +1
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1510.03334

Abstract

The aim of this paper is to establish convergence, properties and error bounds for the fully discrete solutions of a class of nonlinear systems of reaction-diffusion nonlocal type with moving boundaries, using the finite element method with polynomial approximations of any degree. A coordinate transformation which fixes the boundaries is used. Some numerical tests to compare our Matlab code with a moving finite element method are investigated.

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