Questions tagged [reduced-order-modeling]

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Order in a subset

Lets consider a range of "K" binary digit numbers. In that range, we want to take a subset of those values which have (<="n" consecutive 0s) AND (<="n" consecutive ...
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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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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 votes
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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 $\...