A TWO‐DIMENSIONAL ZHU—ZIENKIEWICZ METHOD FOR GRADIENT RECOVERY FROM FINITE‐ELEMENT SOLUTIONS

Abstract

The gradient recovery method proposed by Zhu and Zienkiewicz for one‐dimensional problems is generalized to two dimensions, using quadrilateral elements. Its performance is compared with that of conventional local smoothing techniques and of direct differentiation of the finite‐element solution, on finite‐element approximations to analytically known polynomial and transcendental functions on a quadrilateral second‐order finite‐element mesh. The new method appears to be reliable and more stable than local smoothing, and to provide better accuracy than direct differentiation, at low computational cost.

Citation

SILVESTER, P.P. and OMERAGIĆ, D. (1993), "A TWO‐DIMENSIONAL ZHU—ZIENKIEWICZ METHOD FOR GRADIENT RECOVERY FROM FINITE‐ELEMENT SOLUTIONS", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 12 No. 3, pp. 191-204. https://doi.org/10.1108/eb010122