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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}
}

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