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COMPUTATIONAL ERROR IN REDUCED SCALAR MAGNETIC POTENTIAL PROBLEMS

COMPUTATIONAL ERROR IN REDUCED SCALAR MAGNETIC POTENTIAL PROBLEMS The reduced scalar potential representation of magnetic fields is widely believed to be numerically unstable where large permeability contrasts e.g., 10001 prevail. This belief is theoretically unfounded. Computational errors reported in the literature are shown to arise mainly in the process of finite element discretization, where extraneous source densities are introduced when applied magnetic fields are approximated by fields not wholly solenoidal. Simple experiments show local energy density errors of several per cent even in regions of uniform permeability, independently of element order. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png COMPEL: Theinternational Journal for Computation and Mathematics in Electrical and Electronic Engineering Emerald Publishing

COMPUTATIONAL ERROR IN REDUCED SCALAR MAGNETIC POTENTIAL PROBLEMS

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Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0332-1649
DOI
10.1108/eb051753
Publisher site
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Abstract

The reduced scalar potential representation of magnetic fields is widely believed to be numerically unstable where large permeability contrasts e.g., 10001 prevail. This belief is theoretically unfounded. Computational errors reported in the literature are shown to arise mainly in the process of finite element discretization, where extraneous source densities are introduced when applied magnetic fields are approximated by fields not wholly solenoidal. Simple experiments show local energy density errors of several per cent even in regions of uniform permeability, independently of element order.

Journal

COMPEL: Theinternational Journal for Computation and Mathematics in Electrical and Electronic Engineering – Emerald Publishing

Published: Jan 1, 1992

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