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arXiv · 1401.8220

Convergence of the Crank-Nicolson-Galerkin finite element method for a class of nonlocal parabolic systems with moving boundaries

Rui M. P. Almeida·José C. M. Duque·Jorge Ferreira·Rui J. Robalo
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Abstract

The aim of this paper is to establish the convergence and error bounds to the fully discrete solution for a class of nonlinear systems of reaction-diffusion nonlocal type with moving boundaries, using a linearized Crank-Nicolson-Galerkin 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 some existing moving finite elements methods are investigated.

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Rui M. P. Almeida, José C. M. Duque, Jorge Ferreira, Rui J. Robalo. 2014-01-31. Convergence of the Crank-Nicolson-Galerkin finite element method for a class of nonlocal parabolic systems with moving boundaries. https://arxiv.org/abs/1401.8220

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