A time-domain finite element method for Helmholtz equations

Authors:
Tri Van;Aihua Wood
Affiliations:
Mission Research Corporation, 3975 Research Boulevard, Dayton, Ohio;Air Force Institute of Technology, 2950 P Street, AFIT/ENC, WPAFB, Ohio
Venue:
Journal of Computational Physics
Year:
2002

Citing 6
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Abstract

A time-domain finite element method is developed to approximate the electro-magnetic fields scattered by a bounded, inhomogeneous two-dimensional cavity embedded in the infinite ground plane. The time-dependent scattering problem is first discretized in time by Newmark's time-stepping scheme. A nonlocal boundary condition on the cavity aperture is constructed to reduce the computational domain to the cavity itself. The variational problems using finite element methods are shown to have unique solutions. Numerical experiments for both TE and TM polarizations demonstrate the accuracy and stability of the method.