Numerical solution of boundary condition to POISSON's equation and its incorporation into the program POISSON

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Two dimensional cartesian and axially-symmetric problems in electrostatics or magnetostatics frequently are solved numerically by means of relaxation techniques - employing, for example, the program POISSON. In many such problems the ''sources'' (charges or currents, and regions of permeable material) lie exclusively within a finite closed boundary curve and the relaxation process in principle then could be confined to the region interior to such a boundary - provided a suitable boundary condition is imposed onto the solution at the boundary. This paper discusses and illustrates the use of a boundary condition of such a nature in order thereby to avoid ... continued below

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Pages: 6

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Caspi, S.; Helm, M. & Laslett, L.J. May 1, 1985.

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Two dimensional cartesian and axially-symmetric problems in electrostatics or magnetostatics frequently are solved numerically by means of relaxation techniques - employing, for example, the program POISSON. In many such problems the ''sources'' (charges or currents, and regions of permeable material) lie exclusively within a finite closed boundary curve and the relaxation process in principle then could be confined to the region interior to such a boundary - provided a suitable boundary condition is imposed onto the solution at the boundary. This paper discusses and illustrates the use of a boundary condition of such a nature in order thereby to avoid the inaccuracies and more extensive meshes present when alternatively a simple Dirichlet or Neumann boundary condition is specified on a somewhat more remote outer boundary.

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Pages: 6

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NTIS, PC A02/MF A01; 1.

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  • Particle accelerator conference, Vancouver, Canada, 13 May 1985

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  • Other: DE85016637
  • Report No.: LBL-19483
  • Report No.: CONF-850504-246
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 5485650
  • Archival Resource Key: ark:/67531/metadc1093294

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Office of Scientific & Technical Information Technical Reports

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  • May 1, 1985

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  • Feb. 10, 2018, 10:06 p.m.

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  • April 9, 2018, 12:05 p.m.

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Caspi, S.; Helm, M. & Laslett, L.J. Numerical solution of boundary condition to POISSON's equation and its incorporation into the program POISSON, article, May 1, 1985; United States. (digital.library.unt.edu/ark:/67531/metadc1093294/: accessed April 24, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.