报告题目：Decoupled weak Galerkin finite element method for Maxwell's equations

报告人：齐文雅 讲师 河南师范大学

时间：2025年 08月09日（星期六）14:30-15:00

地点: 正新楼105

校内联系人：王瑞姝 wangrs_crzbpingtai.com

报告摘要：We consider Maxwell’s equations in a decoupled formulation by introducing Lagrange multipliers and obtain the magnetic field given the known electric field. The proposed formulation combines the decoupled weak form with the four equations of Maxwell’s model. The decoupled system reduces the computational complexity by restricting the degrees of freedom of the electric or magnetic fields. We present the construction of mixed weak Galerkin finite element methods for electric field and magnetic field, utilizing backward Euler time discretization in fully discrete schemes. We analyze the

error estimate of the electric and magnetic field in the energy norm. Finally, we present numerical results for the proposed schemes in three-dimensional space to validate our theory.

报告人简介：齐文雅博士，现为河南师范大学讲师。09年本科毕业于河南师范大学，11年研究生毕业于浙江大学，20年博士毕业于兰州大学。于19-20年期间访问美国乔治梅森大学王军平教授，Padmanabhan Seshaiyer 教授。主要从事有限元方法及弱有限元方法的理论与应用研究，发表SCI论文10余篇。