Analysis of a Time-Domain Finite Element Method for 3-D Maxwell's Equations in Dispersive Media
Document Type
Article
Publication Date
7-2006
Publication Title
Computer Methods in Applied Mechanics and Engineering
Volume
195
Issue
33-36
First page number:
4220
Last page number:
4229
Abstract
We consider the time dependent Maxwell’s equations in dispersive media on a bounded domain in three-dimensional space. A fully discrete finite element scheme is developed to approximate the electric field equation derived from the Maxwell’s equations. Optimal energy-norm error estimates are proved for Nédélec curl-conforming edge elements. This is the first finite element error analysis for Maxwell’s equations in dispersive media.
Keywords
Dispersion; Dispersive media; Finite element method; Low temperature plasmas; Maxwell equations; Maxwell’s equations
Disciplines
Applied Mathematics | Engineering | Mechanical Engineering | Numerical Analysis and Computation | Partial Differential Equations
Language
English
Permissions
Use Find in Your Library, contact the author, or interlibrary loan to garner a copy of the item. Publisher policy does not allow archiving the final published version. If a post-print (author's peer-reviewed manuscript) is allowed and available, or publisher policy changes, the item will be deposited.
Repository Citation
Li, J.,
Chen, Y.
(2006).
Analysis of a Time-Domain Finite Element Method for 3-D Maxwell's Equations in Dispersive Media.
Computer Methods in Applied Mechanics and Engineering, 195(33-36),
4220-4229.