Rui M. P. Almeida, José C. M. Duque, Jorge Ferreira, Rui J. Robalo
Published 2014-01-31Version 1
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.
Rate of convergence for a Galerkin scheme approximating a two-scale reaction-diffusion system with nonlinear transmission condition
An Inexact Uzawa Algorithm for Generalized Saddle-Point Problems and Its Convergence
Convergence of a Second Order Markov Chain
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