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Model reduction by iterative error system approximation |
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| Authors: | A C Antoulas Lihong Feng |
| Institution: | 1. Department of Electrical and Computer Engineering, Rice University, Houston, TX, USA;2. School of Engineering and Science, Jacobs University, Bremen, Germany;3. Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany;4. Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany;5. Faculty of Mathematics, Otto von Guericke University Magdeburg, Germany |
| 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. |
| Keywords: | Model order reduction successive refinement error system weighted model reduction |