Finite Elements for the Reissner–Mindlin Plate
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[1] L. D. Marini,et al. Locking-free Reissner-Mindlin elements without reduced integration , 2007 .
[2] Robert L. Taylor,et al. Linked interpolation for Reissner‐Mindlin plate elements: Part II—A simple triangle , 1993 .
[3] Carlo Lovadina,et al. Analysis of a mixed finite element method for the Reissner-Mindlin plate problems , 1998 .
[4] L. D. Marini,et al. A nonconforming element for the Reissner–Mindlin plate , 2003 .
[5] K. Bathe,et al. On the convergence of a four - node plate bending element based on Mindlin - Reissner plate theory a , 1985 .
[6] Douglas N. Arnold,et al. Quadrilateral H(div) Finite Elements , 2004, SIAM J. Numer. Anal..
[7] O. C. Zienkiewicz,et al. Plate bending elements with discrete constraints: New triangular elements , 1990 .
[8] Douglas N. Arnold,et al. A Family of Discontinuous Galerkin Finite Elements for the Reissner–Mindlin Plate , 2005, J. Sci. Comput..
[9] J. Pitkäranta. Analysis of some low-order finite element schemes for Mindlin-Reissner and Kirchhoff plates , 1988 .
[10] M. Fortin,et al. ERROR ANALYSIS OF MIXED-INTERPOLATED ELEMENTS FOR REISSNER-MINDLIN PLATES , 1991 .
[11] O. C. Zienkiewicz,et al. A robust triangular plate bending element of the Reissner–Mindlin type , 1988 .
[12] K. Bathe,et al. A four‐node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation , 1985 .
[13] D. Arnold,et al. Asymptotic analysis of the boundary layer for the Reissner-Mindlin plate model , 1996 .
[14] Ricardo G. Durán,et al. On mixed finite element methods for the Reissner-Mindlin plate model , 1992 .
[15] Eugenio Oñate,et al. A simple triangular element for thick and thin plate and shell analysis , 1994 .
[16] Rolf Stenberg,et al. A new finite element formulation for the plate bending problem , 1993 .
[17] Thomas J. R. Hughes,et al. A mixed finite element formulation for Reissner—Mindlin plate theory: uniform convergence of all higher-order spaces , 1988 .
[18] D. Arnold,et al. A uniformly accurate finite element method for the Reissner-Mindlin plate , 1989 .
[19] Ferdinando Auricchio,et al. Analysis of kinematic linked interpolation methods for Reissner-Mindlin plate problems , 1999 .
[20] Douglas N. Arnold,et al. Analysis of a Linear–Linear Finite Element for the Reissner–Mindlin Plate Model , 1997 .
[21] Ricardo G. Durán,et al. ON THE CONVERGENCE OF A TRIANGULAR MIXED FINITE ELEMENT METHOD FOR REISSNER–MINDLIN PLATES , 1996 .
[22] K. Bathe,et al. Mixed-interpolated elements for Reissner–Mindlin plates , 1989 .
[23] Carlo Lovadina,et al. A Low-order Nonconforming Finite Element for Reissner-Mindlin Plates , 2004, SIAM J. Numer. Anal..
[24] K. Bathe,et al. The MITC7 and MITC9 Plate bending elements , 1989 .
[25] Ferdinando Auricchio,et al. A triangular thick plate finite element with an exact thin limit , 1995 .
[26] Douglas N. Arnold. INNOVATIVE FINITE ELEMENT METHODS FOR PLATES , 2001 .
[27] Rolf Stenberg,et al. An hp Error Analysis of MITC Plate Elements , 1997 .
[28] Douglas N. Arnold,et al. Finite element approximation on quadrilateral meshes , 2001 .
[29] Ilaria Perugia,et al. Optimal rectangular MITC finite elements for Reissner–Mindlin plates , 1997 .
[30] Mikko Lyly,et al. On the connection between some linear triangular Reissner-Mindlin plate bending elements , 2000, Numerische Mathematik.
[31] Douglas N. Arnold,et al. Derivation and Justification of Plate Models by Variational Methods , 2000 .
[32] Ricardo G. Durán,et al. A finite element method for the Mindlin-Reissner plate model , 1991 .
[33] Douglas N. Arnold,et al. The boundary layer for the reissner-mindlin plate model , 1990 .
[34] Richard S. Falk,et al. Locking-free finite elements for the Reissner-Mindlin plate , 2000, Math. Comput..
[35] Renato Spigler,et al. Applied and Industrial Mathematics in Italy, III , 2005 .
[36] T. Hughes,et al. A three-node mindlin plate element with improved transverse shear , 1985 .
[37] Tong Sun,et al. A negative-norm least squares method for Reissner-Mindlin plates , 1998, Math. Comput..
[38] T. Hughes,et al. Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element , 1981 .
[39] Michel Fortin,et al. Numerical approximation of Mindlin-Reissner plates , 1986 .
[40] P. Raviart,et al. Conforming and nonconforming finite element methods for solving the stationary Stokes equations I , 1973 .
[41] R. Durán. The inf-sup condition and error estimates for the Arnold-Falk plate bending element , 1991 .
[42] Ricardo G. Durán,et al. Approximation of the vibration modes of a plate by Reissner-Mindlin equations , 1999, Math. Comput..
[43] Douglas N. Arnold,et al. Some New Elements for the Reissner{Mindlin Plate Model , 1993 .
[44] Douglas N. Arnold,et al. Approximation by quadrilateral finite elements , 2000, Math. Comput..
[45] Xu Zhongnian,et al. A thick–thin triangular plate element , 1992 .
[46] Ricardo G. Durán,et al. Error Estimates for Low-Order Isoparametric Quadrilateral Finite Elements for Plates , 2003, SIAM J. Numer. Anal..
[47] C. Chinosi,et al. NONCONFORMING FINITE ELEMENTS FOR REISSNER-MINDLIN PLATES , 2005 .
[48] D. Arnold,et al. Edge effects in the Reissner-Mindlin plate theory , 1989 .
[49] D. Braess,et al. Uniform convergence of mixed interpolated elements for Reissner-Mindlin plates , 1992 .
[50] Ricardo H. Nochetto,et al. Boundary value problems for partial differential equations and applications , 1993 .
[51] Eduardo N. Dvorkin,et al. A formulation of general shell elements—the use of mixed interpolation of tensorial components† , 1986 .
[52] K. Bathe,et al. A Simplified Analysis of Two Plate Bending Elements — the MITC4 and MITC9 Elements , 1987 .
[53] Rolf Stenberg,et al. A stable bilinear element for the Reissner-Mindlin plate model , 1993 .