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Extremum principles for electrostatic and magnetostatic problems
Published online by Cambridge University Press: 24 October 2008
Abstract
Complementary variational principles are derived for a class of electrostatic and magnetostatic problems using the pairs of adjoint operators (grad, – div) and (curl, curl). This theory unifies the principles of Dirichlet and Thomson in electrostatics and of Schrader in magnetostatics. The results are illustrated by deriving upper and lower bounds for the capacity of a surface, and it is shown how such bounds can be systematically improved by Ritz procedures.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 2 , September 1969 , pp. 433 - 436
- Copyright
- Copyright © Cambridge Philosophical Society 1969
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