Ultraconvergence property of the Zienkiewicz-Zhu gradient patch recovery technique based on local discrete least squares fitting is established for a large class of even-order finite elements. The result is valid at all rectangular mesh symmetry points. Different smoothing strategies are discussed. Superconvergence recovery for the Q8 element is proved and ultraconvergence numerical examples are demonstrated.
Number in Series
Applied Mathematics | Mathematics | Numerical Analysis and Computation
AMS Subject Classification
65N30, 65N15, 65N12, 65D10, 74S05, 41A10, 41A25
Zhang, Zhimin and Lin, Runchang, "Ultraconvergence of ZZ Patch Recovery at Mesh Symmetry Points" (2001). Mathematics Research Reports. 1.