On high-order conservative finite element methods
Numerical Analysis
2017-07-03 v2
Abstract
A new high-order conservative finite element method for Darcy flow is presented. The key ingredient in the formulation is a volumetric, residual-based, based on Lagrange multipliers in order to impose conservation of mass that does not involve any mesh dependent parameters. We obtain a method with high-order convergence properties with locally conservative fluxes. Furthermore, our approach can be straightforwardly extended to three dimensions. It is also applicable to highly heterogeneous problems where high-order approximation is preferred.
Keywords
Cite
@article{arxiv.1701.08855,
title = {On high-order conservative finite element methods},
author = {Eduardo Abreu and Ciro Diaz and Juan Galvis and Marcus Sarkis},
journal= {arXiv preprint arXiv:1701.08855},
year = {2017}
}