»ã±¨±êÌâ (Title)£ºAn unfitted finite element method with direct extension stabilization for time-harmonic Maxwell problems on smooth domains£¨¹â»¬ÇøÓòʱгMaxwellÎÊÌâµÄÒ»ÖÖÖ±½ÓÑÓÍز»±ä·ÇÆ¥ÅäÓÐÏÞÔª·¨£©

»ã±¨ÈË (Speaker)£º лÓ×ƽ ½ÌÊÚ£¨ËÄ´¨´óѧ£©

»ã±¨¹¦·ò (Time)£º2023Äê4ÔÂ8ÈÕ(ÖÜÁù) 10:00

»ã±¨µØÖ· (Place)£ºÌÚѶ»áÒ飨106-552-458£¬ÃÜÂë 230406£©

Ô¼ÇëÈË(Inviter)£ºÁõ¶«½Ü ½ÌÊÚ

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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.