Title

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

Document Type

Article

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.

Disciplines

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

Permissions

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