The paper investigates mixed-enhanced strain finite elements developed within the context of the $u/p$ formulation for nearly incompressible linear elasticity problems. A rigorous convergence and stability analysis is detailed, providing also $L^2$-error estimates for the displacement field. Extensive numerical tests are developed, showing in particular the accordance of the computational results with the theoretical predictions
Auricchio, F., BEIRAO DA VEIGA, L., Lovadina, C. (2005). An analysis of some mixed-enhanced finite element for plane linear elasticity. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 194(27-29), 2947-2968 [10.1016/j.cma.2004.07.028].
An analysis of some mixed-enhanced finite element for plane linear elasticity
BEIRAO DA VEIGA, LOURENCO;
2005
Abstract
The paper investigates mixed-enhanced strain finite elements developed within the context of the $u/p$ formulation for nearly incompressible linear elasticity problems. A rigorous convergence and stability analysis is detailed, providing also $L^2$-error estimates for the displacement field. Extensive numerical tests are developed, showing in particular the accordance of the computational results with the theoretical predictions
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