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
An analysis of some mixed-enhanced finite element for plane linear elasticity / F. Auricchio, L. Beirão da Veiga, C. Lovadina, A. Reali. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - 194:27-29(2005), pp. 2947-2968. [10.1016/j.cma.2004.07.028]
An analysis of some mixed-enhanced finite element for plane linear elasticity
L. Beirão da VeigaSecondo
;C. Lovadina;
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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