A new stabilization technique for the nonconforming Crouzeix-Raviart element applied to linear elasticity
暂无分享,去创建一个
[1] A. Galántai. Projectors and Projection Methods , 2003 .
[2] Susanne C. Brenner,et al. Korn's inequalities for piecewise H1 vector fields , 2003, Math. Comput..
[3] Douglas N. Arnold,et al. A Family of Discontinuous Galerkin Finite Elements for the Reissner–Mindlin Plate , 2005, J. Sci. Comput..
[4] D. Braess. Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics , 1995 .
[5] P. Hansbo,et al. Stabilized Crouzeix‐Raviart element for the Darcy‐Stokes problem , 2005 .
[6] P. Raviart,et al. Conforming and nonconforming finite element methods for solving the stationary Stokes equations I , 1973 .
[7] Philippe G. Ciarlet,et al. The finite element method for elliptic problems , 2002, Classics in applied mathematics.
[8] Susanne C. Brenner. A nonconforming mixed multigrid method for the pure traction problem in planar linear elasticity , 1994 .
[9] Zhangxin Chen,et al. A new local stabilized nonconforming finite element method for the Stokes equations , 2008, Computing.
[10] R. S. Falk. Nonconforming finite element methods for the equations of linear elasticity , 1991 .
[11] Dongwoo Sheen,et al. A Locking-Free Nonconforming Finite Element Method for Planar Linear Elasticity , 2003, Adv. Comput. Math..
[12] M. Feng,et al. Stabilized Crouzeix-Raviart element for the coupled Stokes and Darcy problem , 2010 .
[13] Panayot S. Vassilevski,et al. Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions , 2001, SIAM J. Numer. Anal..
[14] E. Stephan,et al. A symmetric mixed finite element method for nearly incompressible elasticity based on biorthogonal systems , 2012 .
[15] L. R. Scott,et al. Finite element interpolation of nonsmooth functions satisfying boundary conditions , 1990 .
[16] S. C. Brenner,et al. A nonconforming mixed multigrid method for the pure displacement problem in planar linear elasticity , 1993 .
[17] L. R. Scott,et al. The Mathematical Theory of Finite Element Methods , 1994 .
[18] Shipeng Mao,et al. New error estimates of nonconforming mixed finite element methods for the Stokes problem , 2014 .
[19] P. Hansbo,et al. Discontinuous Galerkin and the Crouzeix–Raviart element : application to elasticity , 2003 .
[20] Douglas N. Arnold,et al. Analysis of a Linear–Linear Finite Element for the Reissner–Mindlin Plate Model , 1997 .
[21] H. Rui,et al. A unified stabilized mixed finite element method for coupling Stokes and Darcy flows , 2009 .
[22] D. Braess. Stability of saddle point problems with penalty , 1996 .
[23] Michel Fortin,et al. Mixed and Hybrid Finite Element Methods , 2011, Springer Series in Computational Mathematics.
[24] J. Oden,et al. A Posteriori Error Estimation in Finite Element Analysis , 2000 .
[25] Daniel B. Szyld,et al. The many proofs of an identity on the norm of oblique projections , 2006, Numerical Algorithms.
[26] Leszek Marcinkowski,et al. A FETI-DP Method for Crouzeix-Raviart Finite Element Discretizations , 2012, Comput. Methods Appl. Math..
[27] Carlo Lovadina,et al. A Low-order Nonconforming Finite Element for Reissner-Mindlin Plates , 2004, SIAM J. Numer. Anal..
[28] Bishnu P. Lamichhane,et al. Higher order mortar finite elements with dual Lagrange multiplier spaces and applications , 2006 .
[29] R. Kouhia,et al. A linear nonconforming finite element method for nearly incompressible elasticity and stokes flow , 1995 .
[30] Xiaoyuan Yang,et al. A nonconforming rectangular finite element pair for the Darcy–Stokes–Brinkman model , 2013 .
[31] Mingchao Cai,et al. A Mixed and Nonconforming FEM with Nonmatching Meshes for a Coupled Stokes-Darcy Model , 2012, J. Sci. Comput..
[32] C. Chinosi,et al. Nonconforming locking-free flnite elements for Reissner-Mindlin plates , 2006 .
[33] S. C. Brenner,et al. Linear finite element methods for planar linear elasticity , 1992 .