杏吧传媒 数学大讲坛第一期

第八讲——北京师范大学朱婉婉博士学术报告

题目：Weak Galerkin finite element method for Poisson-Nernst-Planck equations

时间：2023年3月17日（周五）下午15:00——16:30

地点： 腾讯会议（会议ID：180 349 636）

报告人：朱婉婉 博士

摘要：Poisson-Nernst-Planck (PNP) equations are a coupled system of nonlinear partial differential equations which describe the electrodiffusion

of ions, and are applied in many systems such as the solvated biomolecular system, the semiconductors devices, electrochemical systems and biological membrane channel. In this talk, two works of WGFEM solving PNP equations are introduced. First, WGFEM is used to solve a class of steady-state PNP equations, and the a priori error analysis is given in the energy norm. The numerical results confirm the theoretical results. Second, an adaptive WGFEM calculation is introduced for a class of steady-state PNP equations. Upper and lower bounds on the a posteriori error estimates of the electrostatic potential and concentration are established. Numerical results show that the error estimators of the steady-state PNP equations are reliable and the corresponding adaptive computation is efficient.

报告人简介：

朱婉婉，现为北京师范大学博士生。研究方向为偏微分方程数值计算，相关成果发表在Journal of Scientific Computing等期刊上。