Adaptive finite elements for semilinear reaction-diffusion systems on growing domains
Numerical Analysis
2013-08-13 v1
Abstract
We propose an adaptive finite element method to approximate the solutions to reaction-diffusion systems on time-dependent domains and surfaces. We derive a computable error estimator that provides an upper bound for the error in the semidiscrete (space) scheme. We reconcile our theoretical results with benchmark computations.
Cite
@article{arxiv.1308.2449,
title = {Adaptive finite elements for semilinear reaction-diffusion systems on growing domains},
author = {Chandrasekhar Venkataraman and Omar Lakkis and Anotida Madzvamuse},
journal= {arXiv preprint arXiv:1308.2449},
year = {2013}
}
Comments
9 Pages, 4 Figures