Complementarity bilateral bounds on forces in magnet systems

• Alain Bossavit ^[1]
  1. [1] LGEP, Paris
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 26, Nº 4 (Selected papers from the 19th Symposium on Electromagnetic Phenomena in Nonlinear Circuits 2006), 2007, págs. 932-940
• Idioma: inglés
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• Resumen

  • Purpose – It is well known that complementarity can provide bilateral bounds on energy, in numerical approximations of nonlinear magnetostatics. Questions whether like force is, up to sign, the derivative of energy, can such bounds also apply to forces, torques, and other concepts? Design/methodology/approach – This is a discussion paper exploring the issues conceptually.

    Findings – On the face of it, no, since inequalities are not preserved by differentiation. Yet, useful bounds can be given in some cases, as shown in the discussion, following an idea by Matagne.

    Originality/value – The paper aids the understanding of nonlinear magnetostatic systems.