»ã±¨±êÌâ (Title)£º Discontinuous Galerkin method for electromagnetic wave propagation problem in nano-optics(ÄÉÃ×¹âѧÖеç´Å²¨´«²¼ÎÊÌâµÄ¼ä¶ÏGalerkin²½Öè)

»ã±¨ÈË (Speaker)£ºÂÀï»Ô ÌØƸ¸±×êÑÐÔ±£¨±±¾©Óʵç´óѧ£©

»ã±¨¹¦·ò (Time)£º2023Äê9ÔÂ6ÈÕ(ÖÜÈý) 10:00

»ã±¨µØÖ· (Place)£º У±¾²¿A101¡¢ÌÚѶ»áÒéºÅ£º509-917-867 (ÎÞÃÜÂë)

Ô¼ÇëÈË(Inviter)£ººî±¦»Û

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»ã±¨ÌáÒª£ºIn this talk, we consider the electromagnetic wave progagations in nano-optical materials. By revisiting the Hamitonian of the electron system, a self-consistent hydrodynamical Drude (SCHD) model is built to describe the the electron spill-out and tunelling effects in metallic nanostructures in the subwavelength regime. An energy stable discontinuous Galerkin method is further proposed to solve the SCHD model. Semi-discrete in space error estimates and fully discrete energy stability are established. Numerical examples are provided to demonstrate the performance of the proposed method.