A divergence free weak virtual element method for the Stokes–Darcy problem on general meshes
暂无分享,去创建一个
Gang Wang | Yinnian He | Feng Wang | G. Wang | Yinnian He | Feng Wang | Long Chen | Long Chen
[1] J. Zeman,et al. Localization analysis of an energy-based fourth-order gradient plasticity model , 2015, 1501.06788.
[2] G. Gatica,et al. A conforming mixed finite-element method for the coupling of fluid flow with porous media flow , 2008 .
[3] Gianmarco Manzini,et al. Mimetic finite difference method for the Stokes problem on polygonal meshes , 2009, J. Comput. Phys..
[4] Wenbin Chen,et al. Weak Galerkin method for the coupled Darcy-Stokes flow , 2014, 1407.5604.
[5] Francisco-Javier Sayas,et al. Convergence of a family of Galerkin discretizations for the Stokes-Darcy coupled problem , 2011 .
[6] Stella Krell,et al. A Hybrid High-Order Method for the Steady Incompressible Navier–Stokes Problem , 2016, J. Sci. Comput..
[7] Wenbin Chen,et al. A Parallel Robin-Robin Domain Decomposition Method for the Stokes-Darcy System , 2011, SIAM J. Numer. Anal..
[8] Lourenço Beirão da Veiga,et al. H(div)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H({\text {div}})$$\end{document} and H(curl)\documentclass[12pt] , 2015, Numerische Mathematik.
[9] Richard S. Falk,et al. Basic principles of mixed Virtual Element Methods , 2014 .
[10] Michel Fortin,et al. Mixed and Hybrid Finite Element Methods , 2011, Springer Series in Computational Mathematics.
[11] Youngmok Jeon,et al. A Hybrid Discontinuous Galerkin Method for Elliptic Problems , 2010, SIAM J. Numer. Anal..
[12] Yinnian He,et al. Discontinuous finite volume methods for the stationary Stokes–Darcy problem , 2016 .
[13] B. Rivière,et al. Numerical modelling of coupled surface and subsurface flow systems , 2010 .
[14] Xiaoming He,et al. Robin–Robin domain decomposition methods for the steady-state Stokes–Darcy system with the Beavers–Joseph interface condition , 2011, Numerische Mathematik.
[15] Junping Wang,et al. A weak Galerkin mixed finite element method for second order elliptic problems , 2012, Math. Comput..
[16] Franco Brezzi,et al. The Hitchhiker's Guide to the Virtual Element Method , 2014 .
[17] Gianmarco Manzini,et al. Convergence Analysis of the Mimetic Finite Difference Method for Elliptic Problems , 2009, SIAM J. Numer. Anal..
[18] Jinchao Xu,et al. A Two-Grid Method of a Mixed Stokes-Darcy Model for Coupling Fluid Flow with Porous Media Flow , 2007, SIAM J. Numer. Anal..
[19] Lourenço Beirão da Veiga,et al. A virtual element method for the acoustic vibration problem , 2016, Numerische Mathematik.
[20] P. Saffman. On the Boundary Condition at the Surface of a Porous Medium , 1971 .
[21] Francisco-Javier Sayas,et al. A Decoupled Preconditioning Technique for a Mixed Stokes–Darcy Model , 2013, J. Sci. Comput..
[22] Long Chen,et al. An interface-fitted mesh generator and virtual element methods for elliptic interface problems , 2017, J. Comput. Phys..
[23] Francisco-Javier Sayas,et al. Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem , 2011, Math. Comput..
[24] B. Rivière,et al. On the solution of the coupled Navier–Stokes and Darcy equations , 2009 .
[25] Béatrice Rivière,et al. A strongly conservative finite element method for the coupling of Stokes and Darcy flow , 2010, J. Comput. Phys..
[26] F. Brezzi,et al. Basic principles of Virtual Element Methods , 2013 .
[27] A. Ern,et al. A Hybrid High-Order method for the incompressible Navier-Stokes equations based on Temam's device , 2018, J. Comput. Phys..
[28] Ivan Yotov,et al. Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes–Darcy flows on polygonal and polyhedral grids , 2013, Numerische Mathematik.
[29] Xiaoming He,et al. A Domain Decomposition Method for the Steady-State Navier-Stokes-Darcy Model with Beavers-Joseph Interface Condition , 2015, SIAM J. Sci. Comput..
[30] Susanne C. Brenner,et al. Virtual element methods on meshes with small edges or faces , 2017, Mathematical Models and Methods in Applied Sciences.
[31] Ivan Yotov,et al. Coupling Stokes--Darcy Flow with Transport , 2009, SIAM J. Sci. Comput..
[32] Jianguo Huang,et al. Some error analysis on virtual element methods , 2017, 1708.08558.
[33] V. Nassehi,et al. Numerical Analysis of Coupled Stokes/Darcy Flows in Industrial Filtrations , 2006 .
[34] Gianmarco Manzini,et al. Mimetic finite difference method , 2014, J. Comput. Phys..
[35] G. Paulino,et al. PolyMesher: a general-purpose mesh generator for polygonal elements written in Matlab , 2012 .
[36] D. Joseph,et al. Boundary conditions at a naturally permeable wall , 1967, Journal of Fluid Mechanics.
[37] Long Chen,et al. A Divergence Free Weak Virtual Element Method for the Stokes Problem on Polytopal Meshes , 2018, J. Sci. Comput..
[38] Alfio Quarteroni,et al. Robin-Robin Domain Decomposition Methods for the Stokes-Darcy Coupling , 2007, SIAM J. Numer. Anal..
[39] Béatrice Rivière,et al. Analysis of a Discontinuous Finite Element Method for the Coupled Stokes and Darcy Problems , 2005, J. Sci. Comput..
[40] Frédéric Hecht,et al. Mortar finite element discretization of a model coupling Darcy and Stokes equations , 2008 .
[41] Alessandro Russo,et al. $$H({\text {div}})$$H(div) and $$H(\mathbf{curl})$$H(curl)-conforming virtual element methods , 2016 .
[42] S. Meddahi,et al. Strong coupling of finite element methods for the Stokes–Darcy problem , 2012, 1203.4717.
[43] Christoph Lehrenfeld,et al. A Strongly Conservative Hybrid DG/Mixed FEM for the Coupling of Stokes and Darcy Flow , 2018, Journal of Scientific Computing.
[44] Alessandro Russo,et al. Mixed Virtual Element Methods for general second order elliptic problems on polygonal meshes , 2014, 1506.07328.
[45] Junping Wang,et al. A weak Galerkin finite element method for second-order elliptic problems , 2011, J. Comput. Appl. Math..
[46] Bernardo Cockburn,et al. The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow , 2009, SIAM J. Numer. Anal..
[47] Franco Brezzi,et al. Virtual Element Methods for plate bending problems , 2013 .
[48] Hengguang Li,et al. A Posteriori Error Estimates for the Weak Galerkin Finite Element Methods on Polytopal Meshes , 2019, Communications in Computational Physics.
[49] Raytcho D. Lazarov,et al. Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems , 2009, SIAM J. Numer. Anal..
[50] Ivan Yotov,et al. Coupling Fluid Flow with Porous Media Flow , 2002, SIAM J. Numer. Anal..
[51] Béatrice Rivière,et al. Error analysis for a monolithic discretization of coupled Darcy and Stokes problems , 2014, J. Num. Math..
[52] Béatrice Rivière,et al. Discontinuous Galerkin methods for solving elliptic and parabolic equations - theory and implementation , 2008, Frontiers in applied mathematics.