A posteriori error analysis for a new fully-mixed isotropic discretization of the stationary Stokes-Darcy coupled problem

Autor:	Houédanou, Koffi Wilfrid, Adetola, Jamal
Rok vydání:	2019
Předmět:	Mathematics - Numerical Analysis 74S05 74S10 74S15 74S20 74S25 74S30
Druh dokumentu:	Working Paper
Popis:	In this paper we develop an a posteriori error analysis for the stationary Stokes-Darcy coupled problem approximated by conforming finite element method on isotropic meshes in $\mathbb{R}^d$, $d\in\{2,3\}$. The approach utilizes a new robust stabilized fully mixed discretization developed by Jiaping Yu et al. (Advances in Difference Equations, SpringerOpen Journal, 2018). The a posteriori error estimate is based on a suitable evaluation on the residual of the finite element solution plus the stabilization terms. It is proven that the a posteriori error estimate provided in this paper is both reliable and efficient. Comment: 11 pages, 1 figure. arXiv admin note: text overlap with arXiv:1703.01755
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1908.07454 Zobrazit plný text záznamu View this record from Arxiv