Finite element time domain method using Laguerre polynomials

Young Seek Chung, Tapan K. Sarkar, S. Llorento-Romano, M. Salarzar-Palma

Research output: Contribution to journalConference Articlepeer-review

9 Scopus citations


In this work, we present a numerical method to obtain an unconditionally stable solution for the finite element method in time domain (FETD) for two-dimensional TEz 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)
Pages (from-to)981-984
Number of pages4
JournalIEEE MTT-S International Microwave Symposium Digest
StatePublished - 2003
Event2003 IEEE MTT-S International Microwave Symposium Digest - Philadelphia, PA, United States
Duration: Jun 8 2003Jun 13 2003

ASJC Scopus subject areas

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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