Analysis of a Time-Domain Finite Element Method for 3-D Maxwell's Equations in Dispersive Media

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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.


Dispersion; Dispersive media; Finite element method; Low temperature plasmas; Maxwell equations; Maxwell’s equations


Applied Mathematics | Engineering | Mechanical Engineering | Numerical Analysis and Computation | Partial Differential Equations


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