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

Conference · Wed May 01 04:00:00 EDT 1985

OSTI ID:5485650

Caspi, S; Helm, M; Laslett, L J

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.

• Research Organization: Lawrence Berkeley Lab., CA (USA)
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 5485650
• Report Number(s): LBL-19483; CONF-850504-246; ON: DE85016637
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
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& Ion Optics
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCELERATORS
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
ELECTRIC FIELDS
EQUATIONS
MAGNETIC FIELDS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
POISSON EQUATION
TWO-DIMENSIONAL CALCULATIONS