Jiaqi Li, Doctor, Huairou Lab

Chensong Zhang, Professor

Introduction to the Discontinuous Petrov-Galerkin (DPG) Method

20:00-21:00 March 19(Wednesday), Tencent Meeting：106-550-350

The Discontinuous Petrov-Galerkin (DPG) method is a novel finite element technique and has been developing rapidly in recent years. It admits the interpretation of a minimum-residual method, where the residual is measured in a dual norm. The residual minimization nature of DPG brings many advantages: a symmetric positive-definite stiffness matrix, discrete stability (inf-sup condition), and a posteriori error estimates which enable adaptive refinements. The speaker will introduce DPG first and discuss some progress in his former research group at UT Austin. Possible topics include imposition of linear constraints, formulation involving Banach spaces to reduce Gibbs phenomena, as well as a DPG multigrid solver. Lastly, the speaker will talk about his current work on simulating thermo-hydro-mechanical processes in porous media.

Bio: Jiaqi Li obtained a bachelor's degree in Engineering Mechanics from Tsinghua University, and studied for PhD in Computational Science, Engineering, and Mathematics at Oden Institute, UT Austin. He was supervised by Prof. Leszek Demkowicz. Currently Jiaqi is working as a postdoc at Huairou Lab.