Finite element analysis of linear boundary value problems with geometrical parameters

• R. Dyczij-Edlinger ^[1] ; O. Farle ^[1]
  1. [1] Saarland University

     Saarland University

     Regionalverband Saarbrücken, Alemania

     
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 28, Nº 4 (Special Issue: Selected papers from 13th IGTE Symposium), 2009, págs. 779-794
• Idioma: inglés
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• Resumen

  • Purpose – The purpose of this paper is to enable fast finite element (FE) analysis of electromagnetic structures with multiple geometric design variables.

    Design/methodology/approach – The proposed methodology combines multi‐variable model‐order reduction with mesh perturbation techniques and polynomial interpolation of parameter‐dependent FE matrices.

    Findings – The resulting reduced‐order models are of comparable accuracy as but much smaller size than the original FE systems and preserve important system properties such as reciprocity.

    Research limitations/implications – The method is limited to mesh variations that are obtained from a nominal discretization by continuous deformation. Topological changes in the mesh are not permissible.

    Practical implications – In contrast to the underlying FE models, the resulting reduced‐order systems are very cheap to analyze. Possible applications include parametric libraries, design optimization, and real‐time control.

    Originality/value – The paper extends the scope of moment‐matching order‐reduction techniques to a class of non‐polynomial systems arising from FE models with geometric parameters.