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.