Reduced order modeling for elliptic problems with high contrast diffusion coefficients

Albert Cohen, Matthieu Dolbeault, Agustin Somacal +1

We consider the parametric elliptic PDE $-\mathrm{div}(a(y)\nabla u)=f$ on a spatial domain $\Omega$, with $a(y)$ a scalar piecewise constant diffusion coefficient taking any positive val…