Some multilevel decoupled algorithms for a mixed navier-stokes/darcy model
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Mingchao Cai | Peiqi Huang | Mo Mu | M. Cai | Peiqi Huang | M. Mu | Mo Mu
[1] William Layton,et al. Two-level Picard and modified Picard methods for the Navier-Stokes equations , 1995 .
[2] Andrew J. Wathen,et al. A Preconditioner for the Steady-State Navier-Stokes Equations , 2002, SIAM J. Sci. Comput..
[3] P. Hansbo,et al. A unified stabilized method for Stokes' and Darcy's equations , 2007 .
[4] P. Hood,et al. A numerical solution of the Navier-Stokes equations using the finite element technique , 1973 .
[5] B. Rivière,et al. On the solution of the coupled Navier–Stokes and Darcy equations , 2009 .
[6] G. Burton. Sobolev Spaces , 2013 .
[7] Ivan Yotov,et al. Coupling Fluid Flow with Porous Media Flow , 2002, SIAM J. Numer. Anal..
[8] 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..
[9] VIVETTE GIRAULT,et al. DG Approximation of Coupled Navier-Stokes and Darcy Equations by Beaver-Joseph-Saffman Interface Condition , 2009, SIAM J. Numer. Anal..
[10] Vivette Girault,et al. Finite Element Methods for Navier-Stokes Equations - Theory and Algorithms , 1986, Springer Series in Computational Mathematics.
[11] Béatrice Rivière,et al. Locally Conservative Coupling of Stokes and Darcy Flows , 2005 .
[12] Lutz Tobiska,et al. A Two-Level Method with Backtracking for the Navier--Stokes Equations , 1998 .
[13] Béatrice Rivière,et al. A two-grid method for coupled free flow with porous media flow , 2011 .
[14] Santiago Badia,et al. Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems , 2009, SIAM J. Numer. Anal..
[15] E. Miglio,et al. Mathematical and numerical models for coupling surface and groundwater flows , 2002 .
[16] Mingchao Cai. Modeling and numerical simulation for the coupling of surface flow with subsurface flow , 2008 .
[17] Jinchao Xu,et al. Numerical Solution to a Mixed Navier-Stokes/Darcy Model by the Two-Grid Approach , 2009, SIAM J. Numer. Anal..
[18] William Layton,et al. A two-level discretization method for the Navier-Stokes equations , 1993 .
[19] Barry Smith,et al. Domain Decomposition Methods for Partial Differential Equations , 1997 .
[20] Jinru Chen,et al. Two-level and multilevel methods for Stokes-Darcy problem discretized by nonconforming elements on nonmatching meshes , 2012 .
[21] Vincent J. Ervin,et al. Approximation of the Stokes–Darcy System by Optimization , 2014, J. Sci. Comput..
[22] Huang Pei. Two-level and multilevel methods for Stokes-Darcy problem discretized by nonconforming elements on nonmatching meshes , 2012 .
[23] Shuyu Sun,et al. Coupled Generalized Nonlinear Stokes Flow with Flow through a Porous Medium , 2009, SIAM J. Numer. Anal..
[24] Mingchao Cai,et al. A multilevel decoupled method for a mixed Stokes/Darcy model , 2012, J. Comput. Appl. Math..
[25] Xiaoliang Cheng,et al. A two-grid method based on Newton iteration for the Navier-Stokes equations , 2008 .
[26] Alfio Quarteroni,et al. Domain Decomposition Methods for Compressible Flows , 1999 .
[27] Yanren Hou,et al. Optimal error estimates of a decoupled scheme based on two-grid finite element for mixed Stokes-Darcy model , 2015, Appl. Math. Lett..
[28] P. Saffman. On the Boundary Condition at the Surface of a Porous Medium , 1971 .
[29] Willi Jäger,et al. On The Interface Boundary Condition of Beavers, Joseph, and Saffman , 2000, SIAM J. Appl. Math..
[30] H. K. Lee,et al. Numerical Solution of the Stationary Navier-Stokes Equations Using a Multilevel Finite Element Method , 1998, SIAM J. Sci. Comput..
[31] Tong Zhang,et al. Two novel decoupling algorithms for the steady Stokes-Darcy model based on two-grid discretizations , 2014 .
[32] Fédérale De Lausanne,et al. DOMAIN DECOMPOSITION METHODS FOR THE COUPLING OF SURFACE AND GROUNDWATER FLOWS , 2004 .
[33] Alfio Quarteroni,et al. Robin-Robin Domain Decomposition Methods for the Stokes-Darcy Coupling , 2007, SIAM J. Numer. Anal..
[34] Jinchao Xu,et al. Preconditioning techniques for a mixed Stokes/Darcy model in porous media applications , 2009, J. Comput. Appl. Math..
[35] Jinchao Xu. Two-grid Discretization Techniques for Linear and Nonlinear PDEs , 1996 .
[36] D. Joseph,et al. Boundary conditions at a naturally permeable wall , 1967, Journal of Fluid Mechanics.
[37] William Layton,et al. A multilevel mesh independence principle for the Navier-Stokes equations , 1996 .
[38] Andro Mikelico,et al. ON THE INTERFACE BOUNDARY CONDITION OF , 2000 .
[39] Yanren Hou,et al. A decoupling two‐grid algorithm for the mixed Stokes‐Darcy model with the Beavers‐Joseph interface condition , 2014 .
[40] M. Cai. Decoupled Algorithms for the Coupled Surface /Subsurface Flow Interaction Problems , 2012 .
[41] Yanren Hou,et al. Numerical analysis for the mixed Navier–Stokes and Darcy Problem with the Beavers–Joseph interface condition , 2015 .
[42] A. Quarteroni,et al. Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations , 2004 .
[43] Mingchao Cai,et al. A Newton type linearization based two grid method for coupling fluid flow with porous media flow , 2016 .
[44] Alfio Quarteroni,et al. Numerical analysis of the Navier–Stokes/Darcy coupling , 2010, Numerische Mathematik.
[45] Weidong Zhao,et al. Finite Element Approximations for Stokes–darcy Flow with Beavers–joseph Interface Conditions * , 2022 .
[46] Michel Fortin,et al. Mixed and Hybrid Finite Element Methods , 2011, Springer Series in Computational Mathematics.