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Title: Method for computing self-consistent solution in a gun code

Abstract

Complex gun code computations can be made to converge more quickly based on a selection of one or more relaxation parameters. An eigenvalue analysis is applied to error residuals to identify two error eigenvalues that are associated with respective error residuals. Relaxation values can be selected based on these eigenvalues so that error residuals associated with each can be alternately reduced in successive iterations. In some examples, relaxation values that would be unstable if used alone can be used.

Inventors:
Issue Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1159840
Patent Number(s):
8,843,323
Application Number:
12/780,776
Assignee:
Los Alamos National Security, LLC (Los Alamos, NM)
DOE Contract Number:  
AC52-06NA25396
Resource Type:
Patent
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

Citation Formats

Nelson, Eric M. Method for computing self-consistent solution in a gun code. United States: N. p., 2014. Web.
Nelson, Eric M. Method for computing self-consistent solution in a gun code. United States.
Nelson, Eric M. Tue . "Method for computing self-consistent solution in a gun code". United States. https://www.osti.gov/servlets/purl/1159840.
@article{osti_1159840,
title = {Method for computing self-consistent solution in a gun code},
author = {Nelson, Eric M},
abstractNote = {Complex gun code computations can be made to converge more quickly based on a selection of one or more relaxation parameters. An eigenvalue analysis is applied to error residuals to identify two error eigenvalues that are associated with respective error residuals. Relaxation values can be selected based on these eigenvalues so that error residuals associated with each can be alternately reduced in successive iterations. In some examples, relaxation values that would be unstable if used alone can be used.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2014},
month = {9}
}

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Works referenced in this record:

Current accumulation for a self magnetic field calculation in a finite-element gun code
journal, August 2005


An Analysis of the Basic Space-Charge-Limited Emission Algorithm in a Finite-Element Electrostatic Gun Code
journal, June 2004


Recent Developments to the MICHELLE 2-D/3-D Electron Gun and Collector Modeling Code
journal, May 2005

  • Petillo, J. J.; Nelson, E. M.; DeFord, J. F.
  • IEEE Transactions on Electron Devices, Vol. 52, Issue 5
  • DOI: 10.1109/TED.2005.845800

The michelle three-dimensional electron gun and collector modeling tool: theory and design
journal, June 2002

  • Petillo, J.; Eppley, K.; Panagos, D.
  • IEEE Transactions on Plasma Science, Vol. 30, Issue 3
  • DOI: 10.1109/TPS.2002.801659

19.3: Demystifying relaxation in the gun code algorithm
conference, May 2010

  • Nelson, Eric M.; Petillo, John J.; Levush, Baruch
  • 2010 IEEE International Vacuum Electronics Conference (IVEC)
  • DOI: 10.1109/IVELEC.2010.5503448