報告題目：Developing Finite Element Solvers for Poroelasticity in the 2-field Approach
報 告 人：劉江國教授 美國科羅拉多州立大學
報告時間：2019年8月23日9:30-10:30
報告地點：數學樓一樓第一報告廳
報告摘要：
This talk presents results from our recent efforts for reviving the 2-field (fluid pressure and solid displacement) approach for numerically solving poroelasticity problems on quadrilateral meshes. The Darcy equation is solved for fluid pressure by the weak Galerkin finite element methods, which establish the discrete weak gradient and numerical velocity in the Arbogast-Correa spaces. The elasticity equation is solved for solid displacement by the enriched Lagrangian elements, which were motivated by the Bernardi-Raugel elements for Stokes flow. These two types of solvers are coupled through the implicit Euler temporal discretization to solve poroelasticity. Numerical experiments on two widely tested benchmarks will be presented to demonstrate the new solvers are locking-free. We discuss also extension to 3-dim and implementation in deal.II. This is based on a series of joint work with several collaborators
報告人簡介：
劉江國，美國科羅拉多州立大學學教授、博士生導師、國際SCI期刊《Journal of Computational and Applied Mathematics》 副主編，SIAM Central States Section President，已發表學術論文40餘篇，主持多項美國國家自然科學基金。
