Parameter robust preconditioning for multi-compartmental Darcy equations
Numerical Analysis
2020-03-24 v1 Numerical Analysis
Abstract
In this paper, we propose a new finite element solution approach to the multi-compartmental Darcy equations describing flow and interactions in a porous medium with multiple fluid compartments. We introduce a new numerical formulation and a block-diagonal preconditioner. The robustness with respect to variations in material parameters is demonstrated by theoretical considerations and numerical examples.
Cite
@article{arxiv.2003.09633,
title = {Parameter robust preconditioning for multi-compartmental Darcy equations},
author = {Eleonora Piersanti and Marie E. Rognes and Kent-Andre Mardal},
journal= {arXiv preprint arXiv:2003.09633},
year = {2020}
}