Finite element schemes for a class of nonlocal parabolic systems with moving boundaries
Numerical Analysis
2015-10-13 v1
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.
Keywords
Cite
@article{arxiv.1510.03334,
title = {Finite element schemes for a class of nonlocal parabolic systems with moving boundaries},
author = {Rui M. P. Almeida and José C. M. Duque and Jorge Ferreira and Rui J. Robalo},
journal= {arXiv preprint arXiv:1510.03334},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1401.8220