COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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.