Browsing by Author "Benner, Peter"

Now showing 1 - 2 of 2
  • Thumbnail Image
    Item
    Model reduction by iterative error system approximation
    (Taylor & Francis, 2018) Antoulas, A.C.; Benner, Peter; Feng, Lihong
    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.
  • Thumbnail Image
    Item
    Some a posteriori error bounds for reduced-order modelling of (non-)parametrized linear systems
    (EDP Sciences, 2017) Feng, Lihong; Antoulas, Athanasios C.; Benner, Peter
    We propose a posteriori error bounds for reduced-order models of non-parametrized linear time invariant (LTI) systems and parametrized LTI systems. The error bounds estimate the errors of the transfer functions of the reduced-order models, and are independent of the model reduction methods used. It is shown that for some special non-parametrized LTI systems, particularly efficiently computable error bounds can be derived. According to the error bounds, reduced-order models of both non-parametrized and parametrized systems, computed by Krylov subspace based model reduction methods, can be obtained automatically and reliably. Simulations for several examples from engineering applications have demonstrated the robustness of the error bounds.