Model reduction by iterative error system approximation

A. C. Antoulas, Peter Benner and Lihong Feng

Mathematical and Computer Modelling of Dynamical Systems, 2018, vol. 24, issue 2, 103-118

Abstract: The analysis of a posteriori error estimates used in reduced basis methods leads to a model reduction scheme for linear time-invariant systems involving the iterative approximation of the associated error systems. The scheme can be used to improve reduced-order models (ROMs) with initial poor approximation quality at a computational cost proportional to that for computing the original ROM. We also show that the iterative approximation scheme is applicable to parametric systems and demonstrate its performance using illustrative examples.

Date: 2018
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DOI: 10.1080/13873954.2018.1427116

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