Premium
An Arnoldi‐Type Algorithm for Parametric Finite Element Modelling of Microwave Components
Author(s) -
Farle O.,
Hill V.,
Nickel P.,
DyczijEdlinger R.
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510304
Subject(s) - scalar (mathematics) , mathematics , model order reduction , multivariate statistics , parametric statistics , projection (relational algebra) , order (exchange) , algorithm , polynomial , finite element method , arnoldi iteration , mathematical optimization , computer science , generalized minimal residual method , mathematical analysis , iterative method , thermodynamics , physics , geometry , statistics , finance , economics
In this paper, we present an efficient model order reduction (MOR) technique for computing the solution of a linear equation system depending on a multivariate polynomial of scalar parameters. We propose a moment‐matching projection method based on the concept of multivariate Krylov spaces of higher order. The new method exhibits greater stability and allows to build models of higher order than previous approaches. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)