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Developing Finite Element Solvers for Poroelasticity in the 2-fieldApproach

发布日期:2019-08-10     作者:数学学院      编辑:梁诗晨     点击:

申报标题:Developing Finite Element Solvers for Poroelasticity in the 2-fieldApproach

报 告 人:刘江国 传授 美国科罗拉多州立大年夜学

申报时间:2019年8月22日9:30-10:30

申报地点:数学楼一楼第二申报厅

申报摘要:

Thistalk presents results from our recent efforts for reviving the 2-field (fluidpressure and solid displacement) approach for numerically solvingporoelasticity problems on quadrilateral meshes. The Darcy equation is solvedfor fluid pressure by the weak Galerkin finite element methods, which establishthe discrete weak gradient and numerical velocity in the Arbogast-Correaspaces. The elasticity equation is solved for solid displacement by theenriched 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.

申报人简介:

刘江国,美国科罗拉多州立大年夜学学传授、博士生导师、国际SCI期刊《Journal of Computational and Applied Mathematics》 副主编,SIAM Central States Section President,已发表学术论文40余篇,掌管多项美国国度天然迷信基金。

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