Dr. Chenguang Zhou, (ICMSEC, AMSS)

A brief introduction and discussion: Weak Galerkin approximation to poroelasticity problems

Wednesday 28 October, 16:00-17:00 pm, N202

 In this talk, we investigate weak Galerkin (WG) methods for linear and nonlinear Biot’s consolidation models, which are some of the classic poroelasticity problems. As recently developed numerical methods for partial differential equations, WG methods have been applied to solve many problems, such as second-order elliptic problems, biharmonic problems, Stokes problems, Brinkman problems, linear elasticity problems, etc. Here, we establish WG finite element schemes for the poroelasticity problems, derive optimal convergence order estimates in the corresponding norms, and discuss numerical stability of the schemes based on two possible modes of numerically unstable phenomena (Poisson locking and pressure oscillations) in the problems. Finally, we also give some thoughts and tests on these numerically unstable cases. Of course, if time permits, we may also introduce some progresses of other work that has been completed with the team of my co-advisor. 

欢迎大家参加！