Reliable Greedy Multipoint Model-Order Reduction Techniques for Finite-Element Analysis

A new greedy multipoint model-order reduction algorithm for fast frequency-domain finite-element method simulations of electromagnetic problems is proposed. The location of the expansion points and the size of the projection basis are determined based on a rigorous error estimator. Compared to previous multipoint methods, the quality of the error estimator is significantly improved by ensuring the orthogonality of the projection basis vectors at each stage of the model-order reduction algorithm. Numerical studies show that the new algorithm yields compact and highly accurate reduced-order models.

[1]  Jean-Michel Guichon,et al.  Adaptive Multipoint Model Order Reduction Scheme for Large-Scale Inductive PEEC Circuits , 2017, IEEE Transactions on Electromagnetic Compatibility.

[2]  R. Khazaka,et al.  Parameterized Model Order Reduction Techniques for FEM Based Full Wave Analysis , 2009, IEEE Transactions on Advanced Packaging.

[3]  A. Kucharski,et al.  The Application of Macromodels to the Analysis of a Dielectric Resonator Antenna Excited by a Cavity Backed Slot , 2008, 2008 38th European Microwave Conference.

[4]  Michal Mrozowski,et al.  A Goal-Oriented Error Estimator for Reduced Basis Method Modeling of Microwave Devices , 2015, IEEE Microwave and Wireless Components Letters.

[5]  Wei Wang,et al.  Fast Frequency Sweep of FEM Models via the Balanced Truncation Proper Orthogonal Decomposition , 2011, IEEE Transactions on Antennas and Propagation.

[6]  J. Korvink,et al.  A Fully Adaptive Scheme for Model Order Reduction Based on Moment Matching , 2015, IEEE Transactions on Components, Packaging and Manufacturing Technology.

[7]  Martin W. Hess,et al.  Fast Evaluation of Time–Harmonic Maxwell's Equations Using the Reduced Basis Method , 2013, IEEE Transactions on Microwave Theory and Techniques.

[8]  Xuan Zeng,et al.  SAPOR: second-order Arnoldi method for passive order reduction of RCS circuits , 2004, ICCAD 2004.

[9]  Ortwin Farle,et al.  A Posteriori Error Bounds for Krylov-Based Fast Frequency Sweeps of Finite-Element Systems , 2014, IEEE Transactions on Magnetics.

[10]  M. Rozložník,et al.  The loss of orthogonality in the Gram-Schmidt orthogonalization process , 2005 .

[11]  Valentin de la Rubia,et al.  Reliable Fast Frequency Sweep for Microwave Devices via the Reduced-Basis Method , 2009, IEEE Transactions on Microwave Theory and Techniques.

[12]  Michal Rewienski,et al.  Greedy Multipoint Model-Order Reduction Technique for Fast Computation of Scattering Parameters of Electromagnetic Systems , 2016, IEEE Transactions on Microwave Theory and Techniques.