Local gradient and stress recovery for triangular elements

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Abstract

A macroelement post-processing technique is proposed to recover higher order gradients and stresses in two-dimensional elasticity based on the least-square residuals of the equilibrium equation, irrotationality condition and kinematic relation evaluated at certain superconvergent points. Stability and convergence are established and a priori rates of convergence are proved for stable macroelement configurations. Numerical experiments confirming the predicted rates are presented. We also propose an error indicator defined by a natural norm associated with the macroelement post-processing technique. © 2004 Civil-Comp Ltd. and Elsevier Ltd. All rights reserved.

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Silva, R. C. C., Loula, A. F., & Guerreiro, J. N. C. (2004). Local gradient and stress recovery for triangular elements. In Computers and Structures (Vol. 82, pp. 2083–2092). https://doi.org/10.1016/j.compstruc.2003.10.029

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