On the finite element method for a nonlocal degenerate parabolic problem

Almeida, Rui M.P.; Antontsev, Stanislav N.; Duque, José C. M.

http://hdl.handle.net/10400.6/9088

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Autores

Almeida, Rui M.P.

Antontsev, Stanislav N.

Duque, José C. M.

Resumo(s)

The aim of this paper is the numerical study of a class of nonlinear nonlocal degenerate parabolic equations. The convergence and error bounds of the solutions are proved for a linearized Crank–Nicolson–Galerkin finite element method with polynomial approximations of degree k≥1. Some explicit solutions are obtained and used to test the implementation of the method in Matlab environment.