We propose a model order reduction approach for non-intrusive surrogate modeling of parametric dynamical systems. The reduced model over the whole parameter space is built by combining surrogates in frequency only, built at few selected values of the parameters. This, in particular, requires matching the respective poles by solving an optimization problem. We detail how to treat unbalanced cases, where the surrogates to be combined have a different number of poles. If the frequency surrogates are constructed by minimal rational interpolation, frequency and parameters can both be sampled in a greedy fashion, by employing a fully non-intrusive "look-ahead" strategy. We explain how our proposed technique can be applied even in a high-dimension...
Reduced order models are computationally inexpensive approximations that capture the important dynam...
Given optimal interpolation points σ 1,…,σ r , the H2-optimal reduced order model of order r can be ...
A parametric model order reduction scheme is presented for second order systems that does not requir...
We propose a model order reduction approach for non-intrusive surrogate modeling of parametric dynam...
Code used to obtain numerical results for double-greedy parametric Model Reduction based on Minimal ...
In the field of model order reduction for frequency response problems, the minimal rational interpol...
We present a technique for Model Order Reduction (MOR) of frequency-domain problems relying on ratio...
In the field of model order reduction for frequency response problems, the minimal rational interpol...
We present a technique for Model Order Reduction (MOR) of frequency-domain problems relying on ratio...
Design optimization problems are often formulated as an optimization problem whose objective is a fu...
We present a technique for the approximation of a class of Hilbert space--valued maps which arise wi...
While reduced-order models (ROMs) are popular for approximately solving large systems of differentia...
Numerical simulation of large-scale dynamical systems plays a fundamental role in studying a wide ra...
We introduce several spatially adaptive model order reduction approaches tailored to non-coercive el...
We present a nonlinear interpolation technique for parametric fields that exploits optimal transport...
Reduced order models are computationally inexpensive approximations that capture the important dynam...
Given optimal interpolation points σ 1,…,σ r , the H2-optimal reduced order model of order r can be ...
A parametric model order reduction scheme is presented for second order systems that does not requir...
We propose a model order reduction approach for non-intrusive surrogate modeling of parametric dynam...
Code used to obtain numerical results for double-greedy parametric Model Reduction based on Minimal ...
In the field of model order reduction for frequency response problems, the minimal rational interpol...
We present a technique for Model Order Reduction (MOR) of frequency-domain problems relying on ratio...
In the field of model order reduction for frequency response problems, the minimal rational interpol...
We present a technique for Model Order Reduction (MOR) of frequency-domain problems relying on ratio...
Design optimization problems are often formulated as an optimization problem whose objective is a fu...
We present a technique for the approximation of a class of Hilbert space--valued maps which arise wi...
While reduced-order models (ROMs) are popular for approximately solving large systems of differentia...
Numerical simulation of large-scale dynamical systems plays a fundamental role in studying a wide ra...
We introduce several spatially adaptive model order reduction approaches tailored to non-coercive el...
We present a nonlinear interpolation technique for parametric fields that exploits optimal transport...
Reduced order models are computationally inexpensive approximations that capture the important dynam...
Given optimal interpolation points σ 1,…,σ r , the H2-optimal reduced order model of order r can be ...
A parametric model order reduction scheme is presented for second order systems that does not requir...