Analysis of a 2-field finite element solver for linear poroelasticity on quadrilateral meshes
报 告 人:
王卓然 博士 中山大学
腾讯会议ID 189 669 154
This talk presents a novel 2-field finite element solver for linear poroelasticity on general convex quadrilateral meshes. The Darcy flow is discretized by the lowest order weak Galerkin (WG) finite element method, which establishes the discrete weak gradient and numerical velocity in the lowest order Arbogast-Correa space. The linear elasticity is discretized by enriched Lagrangian finite elements with the reduced integration technique for the dilation. First order implicit Euler time discretization is implemented to solve the coupled time-dependent system. A error analysis is presented along with numerical experiments to demonstrate the accuracy and locking-free property of this new solver. This is a joint work with Dr. James Liu and Dr. Simon Tavener.