Seminar| Institute of Mathematical Sciences
Time：Friday, March 17th, 15:00-16:00
Speaker: Zhuoran Wang, School of Mathematics Sun Yat-Sen University (Zhuhai)
Abstract: This talk presents novel 2-field finite element solvers for both linear and nonlinear poroelasticity problems on convex quadrilateral meshes. The Darcy flow is discretized by the weak Galerkin (WG) finite element method, which establishes the discrete weak gradient and numerical velocity in the Arbogast-Correa space. The elasticity is discretized by the enriched Lagrangian finite elements with the reduced integration technique for the dilation. These two types of finite elements are coupled through the implicit Euler temporal discretization to solve poroelasticity problems. Iterative method is discussed for solving nonlinear cases with dilation dependent permeability. Numerical tests are presented to demonstrate the accuracy and the locking-free property of the new solvers. This is a joint work with Dr. James Liu, Dr. Simon Tavener, and Dr. Ruishu Wang.