Mixed finite element methods for linear elasticity with weakly imposed symmetry
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[1] Philippe G. Ciarlet,et al. The finite element method for elliptic problems , 2002, Classics in applied mathematics.
[2] R. S. Falk. Finite Element Methods for Linear Elasticity , 2008 .
[3] Jan Slovak,et al. Bernstein-Gelfand-Gelfand sequences , 2000 .
[4] D. Arnold,et al. Defferential Complexes and Stability of Finite Element Methods II: The Elasticity Complex , 2006 .
[5] M. E. Morley. A family of mixed finite elements for linear elasticity , 1989 .
[6] Jean E. Roberts,et al. Global estimates for mixed methods for second order elliptic equations , 1985 .
[7] D. Arnold,et al. A new mixed formulation for elasticity , 1988 .
[8] Douglas N. Arnold,et al. Finite elements for symmetric tensors in three dimensions , 2008, Math. Comput..
[9] G. Fix. Review: Philippe G. Ciarlet, The finite element method for elliptic problems , 1979 .
[10] R. Christensen,et al. Theory of Viscoelasticity , 1971 .
[11] Douglas N. Arnold,et al. Mixed finite elements for elasticity , 2002, Numerische Mathematik.
[12] Vivette Girault,et al. Finite Element Methods for Navier-Stokes Equations - Theory and Algorithms , 1986, Springer Series in Computational Mathematics.
[13] R. Stenberg. On the construction of optimal mixed finite element methods for the linear elasticity problem , 1986 .
[14] B. D. Veubeke. Stress function approach , 1975 .
[15] D. Arnold,et al. Finite element exterior calculus, homological techniques, and applications , 2006, Acta Numerica.
[16] M. Shashkov,et al. Compatible spatial discretizations , 2006 .
[17] Claes Johnson,et al. Some equilibrium finite element methods for two-dimensional elasticity problems , 1978 .
[18] E. Stein,et al. Mechanical conditions for stability and optimal convergence of mixed finite elements for linear plane elasticity , 1990 .
[19] C. P. Gupta,et al. A family of higher order mixed finite element methods for plane elasticity , 1984 .
[20] Michel Fortin,et al. Mixed and Hybrid Finite Element Methods , 2011, Springer Series in Computational Mathematics.
[21] J. Nédélec. Mixed finite elements in ℝ3 , 1980 .
[22] Bernardo Cockburn,et al. A Mixed Finite Element Method for Elasticity in Three Dimensions , 2005, J. Sci. Comput..
[23] J. Douglas,et al. PEERS: A new mixed finite element for plane elasticity , 1984 .
[24] Numedsche,et al. A Family of Mixed Finite Elements for the Elasticity Problem , 2022 .
[25] Jürgen Jost,et al. Geometry and Physics , 2009 .
[26] M. Eastwood. A complex from linear elasticity , 2000 .
[27] J. Nédélec. A new family of mixed finite elements in ℝ3 , 1986 .
[28] B. J. Hartz,et al. An equilibrium stress field model for finite element solutions of two-dimensional elastostatic problems , 1968 .
[29] F. Brezzi. On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers , 1974 .
[30] B. D. Veubeke. Displacement and equilibrium models in the finite element method , 1965 .
[31] R. Stenberg. A family of mixed finite elements for the elasticity problem , 1988 .
[32] R. S. Falk,et al. Error estimates for mixed methods , 1980 .
[33] J. Thomas,et al. Equilibrium finite elements for the linear elastic problem , 1979 .
[34] D. Arnold. Differential complexes and stability of finite element methods. I. The de Rham complex , 2006 .