Nitsche's type stabilized finite element method for the fully mixed Stokes-Darcy problem with Beavers-Joseph conditions
type: Item
instance of: scholarly article
title: Nitsche's type stabilized finite element method for the fully mixed Stokes-Darcy problem with Beavers-Joseph conditions
zbMATH Open document ID: 1450.65152
author: Yizhong Sun
author: Feng Shi
author: Haibiao Zheng
author: Jia-ping Yu
published in: Applied Mathematics Letters
publication date: 2020-10-08T00:00:00Z
review text: A new fully mixed finite element method to solve the Stokes-Darcy fluid flow model, with Beavers-Joseph conditions, without the introduction of any Lagrange multiplier is presented. The interface stabilization terms are introduced to ensure the well-posedness of the finite element scheme. The stability and convergence analysis are performed. Optimal error estimates are derived as well.
reviewed by: Abdallah Bradji
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7258377
zbMATH Keywords: Stokes-Darcy problem
zbMATH Keywords: Beavers-Joseph conditions
zbMATH Keywords: Nitsche's method
zbMATH Keywords: stabilized method
MaRDI profile type: Publication
full work available at URL: j.aml.2020.106588
OpenAlex ID: W3035097153
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DOI: 10.1016/J.AML.2020.106588
description: scientific article; zbMATH DE number 7258377