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Title: An Explicit Time-Domain Hybrid Formulation Based on the Unified Boundary Condition

Abstract

An approach to stabilize the two-surface, time domain FEM/BI hybrid by means of a unified boundary condition is presented. The first-order symplectic finite element formulation [1] is used along with a version of the unified boundary condition of Jin [2] reformulated for Maxwell's first-order equations in time to provide both stability and accuracy over the first-order ABC. Several results are presented to validate the numerical solutions. In particular the dipole in a free-space box is analyzed and compared to the Dirchlet boundary condition of Ziolkowski and Madsen [3] and to a Neuman boundary condition approach.

Authors:
; ; ; ; ; ; ;
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
902382
Report Number(s):
UCRL-TR-228616
TRN: US200717%%563
DOE Contract Number:
W-7405-ENG-48
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; ACCURACY; BOUNDARY CONDITIONS; DIPOLES; NUMERICAL SOLUTION; STABILITY

Citation Formats

Madsen, N, Fasenfest, B J, White, D, Stowell, M, Jandhyala, V, Pingenot, J, Champagne, N J, and Rockway, J D. An Explicit Time-Domain Hybrid Formulation Based on the Unified Boundary Condition. United States: N. p., 2007. Web. doi:10.2172/902382.
Madsen, N, Fasenfest, B J, White, D, Stowell, M, Jandhyala, V, Pingenot, J, Champagne, N J, & Rockway, J D. An Explicit Time-Domain Hybrid Formulation Based on the Unified Boundary Condition. United States. doi:10.2172/902382.
Madsen, N, Fasenfest, B J, White, D, Stowell, M, Jandhyala, V, Pingenot, J, Champagne, N J, and Rockway, J D. Wed . "An Explicit Time-Domain Hybrid Formulation Based on the Unified Boundary Condition". United States. doi:10.2172/902382. https://www.osti.gov/servlets/purl/902382.
@article{osti_902382,
title = {An Explicit Time-Domain Hybrid Formulation Based on the Unified Boundary Condition},
author = {Madsen, N and Fasenfest, B J and White, D and Stowell, M and Jandhyala, V and Pingenot, J and Champagne, N J and Rockway, J D},
abstractNote = {An approach to stabilize the two-surface, time domain FEM/BI hybrid by means of a unified boundary condition is presented. The first-order symplectic finite element formulation [1] is used along with a version of the unified boundary condition of Jin [2] reformulated for Maxwell's first-order equations in time to provide both stability and accuracy over the first-order ABC. Several results are presented to validate the numerical solutions. In particular the dipole in a free-space box is analyzed and compared to the Dirchlet boundary condition of Ziolkowski and Madsen [3] and to a Neuman boundary condition approach.},
doi = {10.2172/902382},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed Feb 28 00:00:00 EST 2007},
month = {Wed Feb 28 00:00:00 EST 2007}
}

Technical Report:

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  • This report summarizes the work performed for Lawrence Livermore National Laboratory (LLNL) at the University of Washington between September 2004 and May 2006. This project studied fast solvers and stability for time domain integral equations (TDIE), especially as applied to radiating boundary for a massively parallel FEM solver.
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