412 citations · 1.7k across the 26 of their papers we have counts for
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math.AP2017★ 50 cited
Localization of eigenfunctions via an effective potential
Douglas N. Arnold, Guy David, Marcel Filoche +2
We consider the localization of eigenfunctions for the operator $L=-\mbox{div} A \nabla + V$ on a Lipschitz domain and, more generally, on manifolds with and without boundary.…
math.NA2017
Computing spectra without solving eigenvalue problems
Douglas Arnold, Guy David, Marcel Filoche +2
The approximation of the eigenvalues and eigenfunctions of an elliptic operator is a key computational task in many areas of applied mathematics and computational physics. An impor…