Mixed Mimetic Spectral Element method applied to Darcy's problem
Numerical Analysis
2013-08-12 v2
Abstract
We present a discretization for Darcy's problem using the recently developed Mimetic Spectral Element Method. The gist lies in the exact discrete representation of integral relations. In this paper, an anisotropic flow through a porous medium is considered and a discretization of a full permeability tensor is presented. The performance of the method is evaluated on standard test problems, converging at the same rate as the best possible approximation.
Cite
@article{arxiv.1304.7147,
title = {Mixed Mimetic Spectral Element method applied to Darcy's problem},
author = {Pedro Pinto Rebelo and Artur Palha and Marc Gerritsma},
journal= {arXiv preprint arXiv:1304.7147},
year = {2013}
}