Simulating a singularity-free universe outside the problem boundary in POISSON

Details Simulating a singularity-free universe outside the problem boundary in POISSON Simulating a singularity-free universe outside the problem boundary in POISSON

Dec 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993aipc..297...58h&link_type=abstract

Computational accelerator physics. AIP Conference Proceedings, Volume 297, pp. 58-65 (1993).

Statistics

Computation

Boundary-Integral Methods, Magnetostatics, Magnetic Shielding, Magnetic Induction, Boundary-Value Problems

Scientific paper

An exact analytical solution developed from the Dirichlet problem exterior to a circle is employed in the magnetostatics code POISSON to provide a boundary condition option which simulates a singularity-free universe external to the problem domain. Problems with domains of large unequal extents in perpendicular directions are treated by first conformally mapping the exterior of an ellipse onto the exterior of the unit circle. Problems exhibiting symmetry in one or two planes are modeled using a semi-circle or quarter-circle, respectively, in conjunction with the singularity-free rest-of-universe boundary condition.

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