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math.NA2023★ 1 cited
Randomized least-squares with minimal oversampling and interpolation in general spaces
Abdellah Chkifa, Matthieu Dolbeault
In approximation of functions based on point values, least-squares methods provide more stability than interpolation, at the expense of increasing the sampling budget. We show that…
math.AP2023
Reduced order modeling for elliptic problems with high contrast diffusion coefficients
Albert Cohen, Matthieu Dolbeault, Agustin Somacal +1
We consider the parametric elliptic PDE on a spatial domain , with a scalar piecewise constant diffusion coefficient taking any positive val…