Error analysis for an ALE evolving surface finite element method
Numerical Analysis
2014-09-02 v2
Abstract
We consider an arbitrary-Lagrangian-Eulerian evolving surface finite element method for the numerical approximation of advection and diffusion of a conserved scalar quantity on a moving surface. We describe the method, prove optimal order error bounds and present numerical simulations that agree with the theoretical results.
Cite
@article{arxiv.1403.1402,
title = {Error analysis for an ALE evolving surface finite element method},
author = {Charles M. Elliott and Chandrasekhar Venkataraman},
journal= {arXiv preprint arXiv:1403.1402},
year = {2014}
}