Model reduction by iterative error system approximation. Issue 2 (4th March 2018)

• Record Type: Journal Article
• Authors: Antoulas, A. C.; Benner, Peter; Feng, Lihong
• Is Part Of: Mathematical and computer modelling of dynamical systems. Volume 24:Issue 2(2018)
• Page Start: 103
• Page End: 118
• Publication Date: 2018-03-04
• Subjects: Model order reduction -- successive refinement -- error system -- weighted model reduction; Engineering -- Mathematical models -- Periodicals; Computer simulation -- Periodicals; 515.39
• DOI: 10.1080/13873954.2018.1427116
• Languages: English
• ISSNs: 1387-3954

Abstract

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.