A two-grid decoupled penalty finite element method for the stationary Stokes-Darcy problem
type: Item
instance of: scholarly article
title: A two-grid decoupled penalty finite element method for the stationary Stokes-Darcy problem
author: Weiwei Han
author: Yao-Lin Jiang
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2024-08-22T00:00:00Z
review text: First, the authors provide a weak formulation of the coupled Stokes-Darcy system in 2D and 3D, and then they introduce the penalty formulation of this system along with its associated analytical properties. A finite element method for solving the coupled penalty system is analyzed, and the corresponding error estimates are provided. In the core of the work, a two-grid decoupled penalty finite element method is constructed in order to solve the same system. An error analysis is also done for this formulation. Two numerical experiments are carried out to validate the two-grid decoupled penalty finite element method scheme. The numerical results indicate that the proposed scheme can achieve the same accuracy as the directly coupled finite element method while reducing cost.
reviewed by: Calin Ioan Gheorghiu
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 7900530
zbMATH Keywords: mixed weak formulation
zbMATH Keywords: local regularity condition
zbMATH Keywords: vanishing penalty parameter
zbMATH Keywords: error estimate
zbMATH Keywords: optimal convergence rate
MaRDI profile type: Publication
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DOI: 10.1016/J.CNSNS.2024.108101
description: scientific article; zbMATH DE number 7900530