Convergence analysis of numerical schemes for the Darcy-Forchheimer problem
Numerical Analysis
2021-11-23 v2 Numerical Analysis
Analysis of PDEs
Abstract
This paper deals with the Darcy-Forchheimer problem with two kinds of boundary conditions. We discretize the system by using the finite element methods and we propose two iterative schemes to solve the discrete problems. The well-posedness and the convergence of the corresponding iterative problems are then proven. Finally, several numerical experiments are performed to validate the proposed numerical schemes.
Keywords
Cite
@article{arxiv.2104.04864,
title = {Convergence analysis of numerical schemes for the Darcy-Forchheimer problem},
author = {Toni Sayah},
journal= {arXiv preprint arXiv:2104.04864},
year = {2021}
}
Comments
20 pages