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For questions pertaining to methods to estimate input parameters based upon output data.

5 votes
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Advantage of diagonal "jitter" for numerical stability?

So, you want to invert your matrix $A=\Phi^T\Phi$. For $A$ to be invertible it must not have zero eigenvalues. We can show that $A$ is positive semi-definite as follows. Positive semi-definite means t …
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3 votes
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Estimating forces on a model from the displacements of nodes

Indeed, as @whpowell96 says, we can use optimization. Let us assume, for simplicity that your problem is governed by the equations of linear elasticity. Let us assume that you have displacement data ( …
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0 votes

Optimization of expensive model with many parameters

Yes, tens of minutes for the model to run is a lot. If you are using a gradient based minimization algorithm such as BFGS to calculate the parameters, you might consider using the adjoint method for c …
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