Questions tagged [reduced-order-modeling]

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FEA with order reduced for a large system with a very localized force application

I have a large structure with many DOFs. But the application of force is very localized say over one or two nodes. If I try to run FEA on this with Guyan Reduction, I think the efficiency of reduction ...
1 vote
121 views

Computing gradient of Reduced Order Model (ROM) basis w.r.t time?

For surrogate modeling Reduced Order Models seem relatively common. And in particular one approach is called P.O.D. (proper orthogonal decomposition). Which essentially computes a linear manifold of ...
• 149
50 views

Preventing accumulation of state errors in surrogate models?

For surrogate models which predict derivatives based on the current state: how do you avoid the accumulation of state errors due to modeling error in each state update? It seems to me that if you used ...
• 149
190 views

Most promising reduced order modeling method

Many players in the field of engineering simulation software are investing on digital twinning and reduced order modeling techniques, meaning that the field bears potential. I was wondering if among ...
• 259
1 vote
20 views

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 ...
191 views

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 (...
• 610
1 vote
432 views

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 ...
• 610
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 \$\...