Finite Element Time Domain Method using Laguerre Polynomials

Young Seek Chung, Tapan Kumar Sarkar, Sergio L. Romano, Magdalena Salazar Palma

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this work, we propose a numerical method to obtain an unconditionally stable solution for the finite element method in time domain (FETD) for two-dimensional TE Z case. Our method does not utilize the customary marching-on in time solution method often used to solve a hyperbolic partial differential equation. Instead we solve the time domain wave equation by expressing the transient behaviors in terms of weighted Laguerre polynomials. By using these causal orthonormal basis functions for the temporal variation, the time derivatives can be handled analytically. To verify our method, we apply it to two-dimensional parallel plate waveguide and compare the result to that of the conventional FETD using the Newmark-Beta method.

Original languageEnglish (US)
Title of host publicationAnnual Review of Progress in Applied Computational Electromagnetics
Pages234-237
Number of pages4
StatePublished - 2003
Event19th Annual Review of Progress in Applied Computational Electromagnetics - Monterey, CA, United States
Duration: Mar 24 2003Mar 28 2003

Other

Other19th Annual Review of Progress in Applied Computational Electromagnetics
CountryUnited States
CityMonterey, CA
Period3/24/033/28/03

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Keywords

  • FETD
  • Laguerre polynomials
  • Temporal basis functions

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Chung, Y. S., Sarkar, T. K., Romano, S. L., & Palma, M. S. (2003). Finite Element Time Domain Method using Laguerre Polynomials. In Annual Review of Progress in Applied Computational Electromagnetics (pp. 234-237)