Seminar第2354讲 光滑区域时谐Maxwell问题的一种直接延拓稳定非匹配有限元法 |
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报告题目 (Title):An unfitted finite element method with direct extension stabilization for time-harmonic Maxwell problems on smooth domains (光滑区域时谐Maxwell问题的一种直接延拓稳定非匹配有限元法) 报告人 (Speaker): 谢小平 教授(四川大学) 报告时间 (Time):2023年4月8日(周六) 10:00 报告地点 (Place):腾讯会议:106-552-458(密码230406) 邀请人(Inviter):刘东杰 报告摘要:We propose an unfitted finite element method for numerically solving the time-harmonic Maxwell equations on a smooth domain. The embedded boundary of the domain is allowed to cut through the background mesh arbitrarily. The unfitted scheme is based on a mixed interior penalty formulation, where the Nitsche penalty method is applied to enforce the boundary condition in a weak sense, and a penalty stabilization technique is adopted based on a local direct extension operator to ensure the stability for cut elements. We prove the inf-sup stability and obtain optimal convergence rates under the energy norm and the $L^2$ norm for both variables. Numerical examples in both two and three dimensions are presented to illustrate the accuracy of the method. |
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