Application of Zienkiewizc-Zhu's error estimate with superconvergent patch recovery to hierarchical p-refinement

摘要

The Zienkiewicz-Zhu error estimate is slightly modified for the hierarchical p-refinement, and is then applied to three plane elastostatic problems to demonstrate its effectiveness. In each case, the error decreases rapidly with an increase in the number of degrees of freedom. Thus Zienkiewicz-Zhu's error estimate can be used in the hp-refinement of finite element meshes.