Online from: 1982
Subject Area: Electrical & Electronic Engineering
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|Title:||Finite element analysis of linear boundary value problems with geometrical parameters|
|Author(s):||R. Dyczij-Edlinger, (Department of Physics and Mechatronics, Saarland University, Saarbrücken, Germany), O. Farle, (Department of Physics and Mechatronics, Saarland University, Saarbrücken, Germany)|
|Citation:||R. Dyczij-Edlinger, O. Farle, (2009) "Finite element analysis of linear boundary value problems with geometrical parameters", COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 28 Iss: 4, pp.779 - 794|
|Keywords:||Electromagnetism, Finite element method, Order systems|
|Article type:||Research paper|
|DOI:||10.1108/03321640910958919 (Permanent URL)|
|Publisher:||Emerald Group Publishing Limited|
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.
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