A finite element method with strong mass conservation for Biot's linear consolidation model
Numerical Analysis
2020-11-17 v1
Abstract
An H(div) conforming finite element method for solving the linear Biot equations is analyzed. Formulations for the standard mixed method are combined with formulation of interior penalty discontinuous Galerkin method to obtain a consistent scheme. Optimal convergence rates are obtained.
Cite
@article{arxiv.1712.07468,
title = {A finite element method with strong mass conservation for Biot's linear consolidation model},
author = {Beatrice Riviere and Guido Kanschat},
journal= {arXiv preprint arXiv:1712.07468},
year = {2020}
}