An unconditionally stable finite element time-domain solution of the vector wave equation

This paper presents an implicit finite element time-domain (FETD) solution of the time-dependent vector wave equation. The time-dependent formulation employs a time-integration method based on the Newmark-Beta method. A stability analysis is presented demonstrating that this leads to an unconditiona...

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Bibliographic Details
Published in:IEEE microwave and guided wave letters 1995-10, Vol.5 (10), p.332-334
Main Authors: Gedney, S.D., Navsariwala, U.
Format: Article
Language:English
Subjects:
Applied sciences
Cavity resonators
Circuits
Difference equations
Electric, optical and optoelectronic circuits
Electronics
Exact sciences and technology
Finite difference methods
Finite element methods
Linear systems
Partial differential equations
Stability analysis
Tellurium
Theoretical study. Circuits analysis and design
Time domain analysis
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Summary:This paper presents an implicit finite element time-domain (FETD) solution of the time-dependent vector wave equation. The time-dependent formulation employs a time-integration method based on the Newmark-Beta method. A stability analysis is presented demonstrating that this leads to an unconditionally stable solution of the time-dependent vector wave equation. The advantage of this formulation is that the time step is no longer governed by the spatial discretization of the mesh, but rather by the spectral content of the time-dependent signal. A numerical example of a three-dimensional cavity resonator is presented studying the effects of the Newmark-beta parameters on the solution error. Optimal choices of parameters are derived based on this example.< >
ISSN:1051-8207
1558-2329
DOI:10.1109/75.465046