Multiscale techniques for parabolic equations
Numerical Analysis
2015-05-01 v1
Abstract
We use the local orthogonal decomposition technique to derive a generalized finite element method for linear and semilinear parabolic equations with spatial multiscale diffusion coefficient. We consider nonsmooth initial data and a backward Euler scheme for the temporal discretization. Optimal order convergence rate, depending only on the contrast, but not on the variations in the diffusion coefficient, is proven in the -norm. We present numerical examples, which confirm our theoretical findings.
Keywords
Cite
@article{arxiv.1504.08140,
title = {Multiscale techniques for parabolic equations},
author = {Axel Målqvist and Anna Persson},
journal= {arXiv preprint arXiv:1504.08140},
year = {2015}
}