Resumen de Finite element analysis of linear boundary value problems with geometrical parameters
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.
