A family of discontinuous Galerkin mixed methods for nearly and perfectly incompressible elasticity
Yongxing Shen, Adrian J. Lew (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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We introduce a family of mixed discontinuous Galerkin (DG) finite element methods for nearly and perfectly incompressible linear elasticity. These mixed methods allow the choice of polynomials of any order ≥ 1 for the approximation of the displacement field, and of order or − 1 for the pressure space, and are stable for any positive value of the stabilization parameter. We prove the optimal convergence of the displacement and stress...