𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Numerical Approximation of Electrostatic Energy in 3D

✍ Scribed by Daniele Finocchiaro; Marco Pellegrini; Paolo Bientinesi

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
224 KB
Volume
146
Category
Article
ISSN
0021-9991

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✦ Synopsis

Approximating the Coulomb self-energy of a charge distribution within a threedimensional domain and the mutual Coulomb energy of two charge distributions often constitutes a computational bottleneck in the simulation of physical systems. The present article reports on a recently developed computational technique aimed at the numerical evaluation of the six-dimensional integrals arising from Coulomb interactions. Techniques from integral geometry are used to show a reduction of the domain from six-dimensional to two-dimensional. In the process analytic singularities due to Coulomb's law are eliminated. Experimental results on the selfenergy of a charged cube show that the proposed method converges rapidly and is competitive with methods proposed in the literature for similar integration problems.

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