scholarly journals H(div) conforming finite element methods for the coupled Stokes and Darcy problem

2011 ◽  
Vol 235 (15) ◽  
pp. 4337-4349 ◽  
Author(s):  
Yumei Chen ◽  
Feiteng Huang ◽  
Xiaoping Xie
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Conforming Finite Element ◽  
Darcy Problem

scholarly journals Convergence Analysis of H(div)-Conforming Finite Element Methods for a Nonlinear Poroelasticity Problem

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Yuping Zeng ◽  
Zhifeng Weng ◽  
Fen Liang
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
A Priori ◽  
Mixed Finite Elements ◽  
Elastic Displacement ◽  
Fully Discrete ◽  
Conforming Finite Element ◽  
Priori Error Estimates ◽  
Galerkin Formulation ◽  
Flow Variables

In this paper, we introduce and analyze H(div)-conforming finite element methods for a nonlinear model in poroelasticity. More precisely, the flow variables are discretized by H(div)-conforming mixed finite elements, while the elastic displacement is approximated by the H(div)-conforming finite element with the interior penalty discontinuous Galerkin formulation. Optimal a priori error estimates are derived for both semidiscrete and fully discrete schemes.

Non-conforming Finite Element Methods

2018 ◽  
pp. 285-305
Author(s):  
Jérôme Droniou ◽  
Robert Eymard ◽  
Thierry Gallouët ◽  
Cindy Guichard ◽  
Raphaèle Herbin
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Conforming Finite Element

scholarly journals Strong coupling of finite element methods for the Stokes-Darcy problem

2014 ◽  
Vol 35 (2) ◽  
pp. 969-988 ◽  
Author(s):  
A. Marquez ◽  
S. Meddahi ◽  
F.-J. Sayas
Keyword(s):  
Finite Element ◽  
Strong Coupling ◽  
Finite Element Methods ◽  
Darcy Problem
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