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

Autor: Almeida, Rui M. P., Duque, José C. M., Ferreira, Jorge, Robalo, Rui J.
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: arXiv admin note: text overlap with arXiv:1401.8220
Databáze: arXiv