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数学与统计学院2024年第8期学术论坛

作者: 来源: 阅读次数: 日期:2024-05-22

会议时间:2024522日(周三)19:30-21:30

会议地点:线上腾讯会议:386-142-819

报告1DISCONTINUOUS 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.