报告题目：Developing Finite Element Solvers forPoroelasticity in the 2-field Approach

报 告 人：刘江国 教授 美国科罗拉多州立尊龙凯时

报告时间：2019年8月23日9:30-10:30

报告地点：数学楼一楼第一报告厅

报告摘要：

This talk presents results from our recent effortsfor reviving the 2-field (fluid pressure and solid displacement) approach fornumerically solving poroelasticity problems on quadrilateral meshes. The Darcyequation is solved for fluid pressure by the weak Galerkin finite elementmethods, which establish the discrete weak gradient and numerical velocity inthe Arbogast-Correa spaces. The elasticity equation is solved for soliddisplacement by the enriched Lagrangian elements, which were motivated by the Bernardi-Raugelelements for Stokes flow. These two types of solvers are coupled through theimplicit Euler temporal discretization to solve poroelasticity. Numericalexperiments on two widely tested benchmarks will be presented to demonstratethe new solvers are locking-free. Wediscuss also extension to 3-dim and implementation in deal.II. This is based ona series of joint work with several collaborators

报告人简介：

刘江国，美国科罗拉多州立尊龙凯时学教授、博士生导师、国际SCI期刊《Journal of Computational and AppliedMathematics》 副主编，SIAM Central States Section President，已发表学术论文40余篇，主持多项美国国家自然科学基金。