会议时间:2024年5月22日(周三)19:30-21:30
会议地点:线上腾讯会议:386-142-819
报告1:DISCONTINUOUS GALERKIN METHOD FOR NONLINEAR QUASI-STATIC POROELASTICITY PROBLEMS
报告人:陈凡
内容简介:This paper is devoted to a discontinuous Galerkin (DG) method for nonlinear quasistatic poroelasticity problems. The fully implicit nonlinear numerical scheme is constructed by utilizing DG method for the spatial approximation and the backward Euler method for the temporal discretization. The existence and uniqueness of the numerical solution is proved. Then we derive the optimal convergence order estimates in a discrete H1 norm for the displacement and in H1 and L2 norms for the pressure. Finally, numerical experiments are supplied to validate the theoretical error estimates of our proposed method.