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

Authors:
Jichun Li
Affiliations:
Department of Mathematical Sciences, University of Nevada, Las Vegas, Las Vegas, NV
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

Citing 7
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Abstract

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.