Error analysis of finite element methods for 3-D Maxwell's equations in dispersive media

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摘要

We consider the time dependent Maxwell's equations in dispersive media on a bounded three-dimensional domain. A semi-discrete standard finite element method and a semi-discrete mixed finite element method are developed and error estimates are provided. We believe this is the first finite element error analysis carried out for Maxwell's equations in dispersive media.

论文关键词:65N30,35L15,78-08,Maxwell's equations,Dispersive media,Finite element method

论文评审过程:Received 24 February 2005, Revised 29 March 2005, Available online 10 May 2005.

论文官网地址:https://doi.org/10.1016/j.cam.2005.03.060