THREE‐DIMENSIONAL GRADIENT RECOVERY BY LOCAL SMOOTHING OF FINITE‐ELEMENT SOLUTIONS

Abstract

The gradient recovery method proposed by Zhu and Zienkiewicz for one‐dimensional problems and extended to two dimensions by Silvester and Omeragi? is generalized to three‐dimensional solutions based on rectangular prism (brick) elements. The extension is not obvious so its details are presented, and the method compared with conventional local smoothing and direct differentiation. Illustrative examples are given, with an extensive experimental study of error. The method is computationally cheap and provides better accuracy than conventional local smoothing, but its accuracy is position dependent.

Citation

OMERAGIĆ, D. and SILVESTER, P.P. (1994), "THREE‐DIMENSIONAL GRADIENT RECOVERY BY LOCAL SMOOTHING OF FINITE‐ELEMENT SOLUTIONS", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 13 No. 3, pp. 553-566. https://doi.org/10.1108/eb010134