Solving for Micro- and Macro- Scale Electrostatic Configurations Using the Robin Hood Algorithm

Details Solving for Micro- and Macro- Scale Electrostatic Configurations Using the Robin Hood Algorithm Solving for Micro- and Macro- Scale Electrostatic Configurations Using the Robin Hood Algorithm

2011-11-21

arxiv.org/abs/1111.5035v1

Physics

Computational Physics

40 pages, 20 figures

Scientific paper

We present a novel technique by which highly-segmented electrostatic configurations can be solved. The Robin Hood method is a matrix-inversion algorithm optimized for solving high density boundary element method (BEM) problems. We illustrate the capabilities of this solver by studying two distinct geometry scales: (a) the electrostatic potential of a large volume beta-detector and (b) the field enhancement present at surface of electrode nano-structures. Geometries with elements numbering in the O(10^5) are easily modeled and solved without loss of accuracy. The technique has recently been expanded so as to include dielectrics and magnetic materials.

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