On the finite element method for a nonlocal degenerate parabolic problem
Numerical Analysis
2014-10-01 v1
Abstract
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 . Some explicit solutions are obtained and used to test the implementation of the method in Matlab environment.
Cite
@article{arxiv.1409.8453,
title = {On the finite element method for a nonlocal degenerate parabolic problem},
author = {Rui M. P. Almeida and Stanislav N. Antontsev and José C. M. Duque},
journal= {arXiv preprint arXiv:1409.8453},
year = {2014}
}