A posteriori error estimates for Darcy-Forchheimer's problem
Numerical Analysis
2022-02-24 v1 Numerical Analysis
Analysis of PDEs
Abstract
This work deals with the a posteriori error estimates for the Darcy-Forchheimer problem. We introduce the corresponding variational formulation and discretize it by using the finite-element method. A posteriori error estimate with two types of computable error indicators is showed. The first one is linked to the linearization and the second one to the discretization. Finally, numerical computations are performed to show the effectiveness of the error indicators.
Cite
@article{arxiv.2202.11643,
title = {A posteriori error estimates for Darcy-Forchheimer's problem},
author = {Georges Semaan and Toni Sayah and Faouzi Triki},
journal= {arXiv preprint arXiv:2202.11643},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2104.04864