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Filtering by: Creator Gibson, N. L. Decade 2010-2019

Dispersion reducing methods for edge discretizations of the electric vector wave equation

Creator:

Bokil, V. A., Gibson, N. L., Gyrya, V., and McGregor, D. A.

Abstract:

We present a novel strategy for minimizing the numerical dispersion error in edge discretizations of the time-domain electric vector wave equation on square meshes based on the mimetic finite difference (MFD) method. We compare this strategy, called M-adaptation, to two other discretizations, also based on square meshes. One is the...

Resource Type:

Article
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