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Filtering by: Academic Affiliation Mathematics Creator Gibson, N. L.

Convergence Analysis of Yee Schemes for Maxwell's Equations in Debye and Lorentz Dispersive Media

Creator:

Bokil, V. A. and Gibson, N. L.

Abstract:

We present discrete energy decay results for the Yee scheme applied to Maxwell's equations in Debye and Lorentz dispersive media. These estimates provide stability conditions for the Yee scheme in the corresponding media. In particular, we show that the stability conditions are the same as those for the Yee scheme...

Resource Type:

Technical Report
Analysis of Stability and Dispersion in a Finite Element Method for Debye and Lorentz Dispersive Media

Creator:

Banks, H. T., Bokil, V. A., and Gibson, N. L.

Abstract:

We study the stability properties of, and the phase error present in, a finite element scheme for Maxwell’s equations coupled with a Debye or Lorentz polarization model. In one dimension we consider a second order formulation for the electric field with an ordinary differential equation for the electric polarization added...

Resource Type:

Article