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Ortwin Farle, Volker Hill, Pär Ingelström, Romanus Dyczij-Edlinger

Model Order Reduction of Linear Finite Element Models Parameterized by Polynomials in Several Variables

Keywords: model order reduction, Krylov subspace methods, multi-parameter systems, polynomial parameterization

This paper presents an order reduction method for linear equation systems parameterized by several variables, which stem from the finite element method. The proposed approach is based on multivariate Krylov subspaces and extends existing methods in the following two aspects. First, it contains a new algorithm for computing a stable basis for the reduced system, and, second, it generalizes the concept of Krylov subspaces of higher order to multi-parameter systems.

at – Automatisierungstechnik, Oldenbourg Wissenschaftsverlag

Print ISSN: 0178-2312
Volume: 54, 04/2006
Pages: 161 - 169

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