Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Incorporation of a circular boundary condition into the program POISSON

Technical Report ·
DOI:https://doi.org/10.2172/5419391· OSTI ID:5419391
Two-dimensional problems in electrostatics or magnetostatics frequently are solved numerically by means of relaxation techniques. 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 that boundary. The present notes discuss and illustrate the use of a boundary condition of such a nature as to imply the absence of external sources, 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:
5419391
Report Number(s):
LBL-17064; ON: DE85016527
Country of Publication:
United States
Language:
English