学术报告
题 目: A weak Galerkin finite element method for indefinite time-harmonic Maxwell equations
报 告 人:谢莹莹 博士 (邀请人:钟柳强 )
广州大学
时 间:2022-06-10 16:30-17:30
地 点:西楼二楼会议室
报告人简介:
谢莹莹,在华南师范大学先后获得硕士和博士学位,现为广州大学数学与信息科学学院博士后,主持一项国家自然科学基金青年基金,在 Journal of Scientific Computing、Numerical Algorithms和Journal of Computational and Applied Mathematics学术期刊上发表论文。
摘 要:
In this paper, we intend to develop a weak Galerkin (WG) finite element method for solving the indefinite time-harmonic Maxwell equations. By showing an analogy of G ̊arding inequality and a posteriori estimate about the error, we first prove the well-posedness of the WG method. Then by deducing an error equation, we achieve optimal a priori error estimates in both the energy norm and the L2 norm. Finally, we carry out some numerical experiments to confirm the theoretical conclusions.