Mixed finite elements for second order elliptic problems in three variables
Numerische Mathematik
A family of mixed finite elements for the elasticity problem
Numerische Mathematik
Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
A Local Regularization Operator for Triangular and Quadrilateral Finite Elements
SIAM Journal on Numerical Analysis
A Mixed Finite Element Method for Elasticity in Three Dimensions
Journal of Scientific Computing
A Unified Analysis of Several Mixed Methods for Elasticity with Weak Stress Symmetry
Journal of Scientific Computing
Conforming Rectangular Mixed Finite Elements for Elasticity
Journal of Scientific Computing
The Serendipity Family of Finite Elements
Foundations of Computational Mathematics
Two Remarks on Rectangular Mixed Finite Elements for Elasticity
Journal of Scientific Computing
Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms
Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms
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We present new rectangular mixed finite elements for linear elasticity. The approach is based on a modification of the Hellinger---Reissner functional in which the symmetry of the stress field is enforced weakly through the introduction of a Lagrange multiplier. The elements are analogues of the lowest order elements described in Arnold et al. (Math Comput 76:1699---1723, 2007). Piecewise constants are used to approximate the displacement and the rotation. The first order BDM elements are used to approximate each row of the stress field.