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22日9:30-10:30
報告地點：數學樓一樓第二報告廳
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數學系教授、博士生導師。主要研究興趣為數值分析、科學計算和生物數學。已發表學術論文50餘篇，主持多項美國國家自然科學基金研究項目。曾任SIAM Central States Section President，現任國際SCI期刊《Journal of Computational and Applied Mathematics》編輯。
