A family of mixed finite elements for the elasticity problem
Numerische Mathematik
Computer Methods in Applied Mechanics and Engineering
Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
Lower Order Rectangular Nonconforming Mixed Finite Elements for Plane Elasticity
SIAM Journal on Numerical Analysis
Anisotropic conforming rectangular elements for elliptic problems of any order
Applied Numerical Mathematics
Two Remarks on Rectangular Mixed Finite Elements for Elasticity
Journal of Scientific Computing
Rectangular mixed elements for elasticity with weakly imposed symmetry condition
Advances in Computational Mathematics
Journal of Scientific Computing
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We present a new family of rectangular mixed finite elements for the stress-displacement system of the plane elasticity problem. Based on the theory of mixed finite element methods, we prove that they are stable and obtain error estimates for both the stress field and the displacement field. Using the finite element spaces in this family, an exact sequence is established as a discrete version of the elasticity complex in two dimensions. And the relationship between this discrete version and the original one is shown in a commuting diagram.