Equal-order finite elements with local projection stabilization for the Darcy–Brinkman equations
暂无分享,去创建一个
[1] Gunar Matthies,et al. Local projection stabilization of equal order interpolation applied to the Stokes problem , 2008, Math. Comput..
[2] Erik Burman,et al. Pressure projection stabilizations for Galerkin approximations of Stokes' and Darcy's problem , 2008 .
[3] Malte Braack. A stabilized finite element scheme for the Navier-Stokes equations on quadrilateral anisotropic meshes , 2008 .
[4] Monique Dauge,et al. Stationary Stokes and Navier-Stokes systems on two-or three-dimensional domains with corners , 1989 .
[5] Erik Burman,et al. Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method , 2006, SIAM J. Numer. Anal..
[6] Petr Knobloch,et al. Local projection stabilization for advection--diffusion--reaction problems: One-level vs. two-level approach , 2009 .
[7] L. Franca,et al. Stabilization arising from PGEM: A review and further developments , 2009 .
[8] Malte Braack,et al. Optimal control in fluid mechanics by finite elements with symmetric stabilization , 2008, SIAM J. Control. Optim..
[9] Jean E. Roberts,et al. Mixed and hybrid finite element methods , 1987 .
[10] Roland Becker,et al. A finite element pressure gradient stabilization¶for the Stokes equations based on local projections , 2001 .
[11] Xue-Cheng Tai,et al. A Robust Finite Element Method for Darcy-Stokes Flow , 2002, SIAM J. Numer. Anal..
[12] R. Stenberg,et al. Analysis of finite element methods for the Brinkman problem , 2010 .
[13] H. Brinkman. A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles , 1949 .
[14] Santiago Badia,et al. Stabilized continuous and discontinuous Galerkin techniques for Darcy flow. , 2010 .
[15] Haidong Liu,et al. On Darcy-Brinkman Equation: Viscous Flow Between Two Parallel Plates Packed with Regular Square Arrays of Cylinders , 2007, Entropy.
[16] Xiaoping,et al. UNIFORMLY-STABLE FINITE ELEMENT METHODS FOR DARCY-STOKES-BRINKMAN MODELS , 2008 .
[17] P. Hansbo,et al. A unified stabilized method for Stokes' and Darcy's equations , 2007 .
[18] Michel Fortin,et al. A minimal stabilisation procedure for mixed finite element methods , 2000, Numerische Mathematik.
[19] R. Kellogg,et al. A regularity result for the Stokes problem in a convex polygon , 1976 .
[20] R. Temam,et al. Navier-Stokes equations: theory and numerical analysis: R. Teman North-Holland, Amsterdam and New York. 1977. 454 pp. US $45.00 , 1978 .
[21] P. Knobloch. On the Application of Local Projection Methods to Convection–Diffusion–Reaction Problems , 2009 .
[22] John Burkardt. Finite Elements for the (Navier) Stokes Equations , 2011 .
[23] D. Braess,et al. An efficient smoother for the Stokes problem , 1997 .
[24] Santiago Badia,et al. Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems , 2009, SIAM J. Numer. Anal..
[25] Gunar Matthies,et al. A UNIFIED CONVERGENCE ANALYSIS FOR LOCAL PROJECTION STABILISATIONS APPLIED TO THE OSEEN PROBLEM , 2007 .
[26] Hantaek Bae. Navier-Stokes equations , 1992 .