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Colloquium – Zhimin Zhang, Wayne State University
October 11, 2017 @ 3:30 pm - 4:30 pm
Topic: Polynomial Preserving Recovery for Gradient and Hessian
Abstract: Post-processing techniques are important in scientific and engineering computation. One of such technique, Superconvergent Patch Recovery (SPR) proposed by Zienkiewicz-Zhu in 1992, has been widely used in finite element commercial software packages such as Abaqus, ANSYS, Diffpack, etc.; another one, Polynomial Preserving Recovery (PPR) has been adopted by COMSOL Multiphysics since 2008. In this talk, I will give a survey for the PPR method and discuss its resent development to obtain the Hessian matrix (second derivatives) from the computed data.
In this talk I will describe my efforts to achieve this goal, how the mathematics department supports these efforts, and the institutionalization of some successful strategies.