报告题目：Studies on numerical methods for electroporoelasticity equations

报告人：邹永魁，吉林大学教授

报告时间：2025 年 11 月 28 日，15:00

邀请人：张凤山

报告地点：知行楼 A 区 401

Abstract ： In this talk, we study three-dimensional quasi-static electroporoelasticity equations to establish a well-posedness theory and propose some numerical approximations. The electroporoelasticity model, which comprises of Maxwell's equations with Biot's equations, plays a critical role in many fields such as oil-gas exploration, water conservancy exploration, earthquake early warning and some other areas in geophysics, etc. We first apply a Galerkin method to set up the well-posedness. Then, we study a splitting finite element approximation to improve the computational efficiency. In view of distinct time scales of the development of electromagnetic waves and elastic waves, we construct a multi-time stepping numerical algorithm to accelerate numerical computations. We also investigate the numerical stability as the Lamé constant tending to infinity or the hydraulic conductivity varying randomly. Finally, we present some numerical experiments to validate all theoretical findings.

报告人简介：邹永魁，吉林大学数学学院教授，博士生导师。主要从事随机偏微分方程数值方法的研 究，在 J. Sci. Comput. ， CiCP ， J. Nonlinear Sci., Nonlinearity, Z. Angew. Math. Phys. 等学术期刊上发表学术论文 50 余篇，主持完成和在研国自然面上项目 6 项。