论文信息 - Enhanced Superconvergent Patch Recovery incorporating equilibrium and boundary conditions

Enhanced Superconvergent Patch Recovery incorporating equilibrium and boundary conditions

Patch recovery based on superconvergent derivatives and equilibrium (SPRE), an enhancement of the Superconvergent Patch Recovery (SPR), is studied for linear elasticity problems. The paper also presents a further improvement for recovery of derivatives near boundaries, SPREB, where either tractions or displacements are prescribed. This is made by inclusion of weighted residual errors at boundary points in the patch recovery. A pronounced improvement in the post processed gradients of the finite element solution is observed by this method.

[1] J. Z. Zhu,et al. The superconvergent patch recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity , 1992 .

[2] Nils-Erik Wiberg,et al. An Efficient Postprocessing Technique for Stress Problems Based on Superconvergent Derivatives and Equilibrium , 1992 .

[3] S. Timoshenko,et al. Theory of Elasticity (3rd ed.) , 1970 .

[4] J. Z. Zhu,et al. The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique , 1992 .

[5] Graham F. Carey,et al. Approximate boundary-flux calculations☆ , 1985 .

[6] O. C. Zienkiewicz,et al. Superconvergent patch recovery techniques – some further tests , 1993 .

[7] John S. Campbell,et al. Local and global smoothing of discontinuous finite element functions using a least squares method , 1974 .

[8] Nils-Erik Wiberg,et al. Patch recovery based on superconvergent derivatives and equilibrium , 1993 .

[9] O. C. Zienkiewicz,et al. The superconvergent patch recovery (SPR) and adaptive finite element refinement , 1992 .

[10] E. Eason. A review of least-squares methods for solving partial differential equations , 1976 .

[11] J. Barlow,et al. Optimal stress locations in finite element models , 1976 .

[12] Alf Samuelsson,et al. A note on the effectivity of the Zienkiewicz-Zhu error estimate and two 2D adaptive mesh generators , 1993 .