Questions tagged [reduced-order-modeling]
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When is hyper-reduction needed in reduced order models?
Consider a high-dimensional ODE, which comes from semi-discretization
$$
\frac{d\mathbf{u}}{dt} = f(\mathbf{u}), \qquad \mathbf{u}\in\mathbb{R}^N \tag{1}
$$
If we want to build Reduced Order Models (...
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1
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Kolmogorov n-width
Could someone please point me to an understandable definition of the Kolmogorov n-width? I'm having a hard time figuring out what is the output of the definition - is it an integer?
Edit: I realize ...
3
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orthogonal basis functions on arbitrary domains and boundary conditions
I'm interested in solving an inverse coefficient problem for a PDE.
Let's say the field to be estimated is $\theta$.
The conventional approach would be to use a finite element discretization for $\...