Title :
A Posteriori Error Bounds for Krylov-Based Fast Frequency Sweeps of Finite-Element Systems
Author :
Konkel, Yves ; Farle, O. ; Sommer, A. ; Burgard, Stefan ; Dyczij-Edlinger, R.
Author_Institution :
Dept. of Electromagn. Theor., Saarland Univ., Saarbrücken, Germany
Abstract :
Projection-based model reduction is a well-established methodology for computing fast frequency sweeps of finite-element (FE) approximations to passive microwave structures. This contribution presents a novel provable error bound for moment-matching reduced-order models of lossless systems. It improves over existing methods by increasing the accuracy of the estimate and by reducing numerical costs. Numerical studies demonstrate the benefits of the suggested approach.
Keywords :
approximation theory; finite element analysis; microwave materials; FEA; Krylov-based fast frequency sweeps; finite-element approximations; finite-element systems; lossless systems; moment-matching reduced-order models; numerical cost reduction; passive microwave structures; posteriori error bounds; projection-based model reduction; provable error bound; Approximation methods; Eigenvalues and eigenfunctions; Impedance; Iron; Microwave theory and techniques; Read only memory; Vectors; Approximation error; finite-element (FE) methods; microwave devices; reduced-order systems;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2013.2285442
