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

Conference · Tue Oct 01 04:00:00 EDT 1985 · IEEE Trans. Nucl. Sci.; (United States)

OSTI ID:6122032

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 Laboratory, University of California, Berkeley, California
• OSTI ID: 6122032
• Report Number(s): CONF-850504-
• Conference Information: Journal Name: IEEE Trans. Nucl. Sci.; (United States) Journal Volume: NS-32:5
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
AXIAL SYMMETRY
BEAM DYNAMICS
BOUNDARY CONDITIONS
CARTESIAN COORDINATES
COMPUTER CALCULATIONS
COORDINATES
DIFFERENTIAL EQUATIONS
DIRICHLET PROBLEM
ELECTROSTATICS
EQUATIONS
MESH GENERATION
NEUMANN SERIES
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
POISSON EQUATION
SERIES EXPANSION
SYMMETRY
TWO-DIMENSIONAL CALCULATIONS