412 citations · 1.7k across the 26 of their papers we have counts for
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math.NA2015★ 8 cited
Finite element exterior calculus with lower-order terms
Douglas N. Arnold, Lizao Li
The scalar and vector Laplacians are basic operators in physics and engineering. In applications, they show up frequently perturbed by lower-order terms. The effect of such perturb…
cond-mat.dis-nn2015★ 127 cited
Effective confining potential of quantum states in disordered media
Douglas N. Arnold, Guy David, David Jerison +2
The amplitude of localized quantum states in random or disordered media may exhibit long range exponential decay. We present here a theory that unveils the existence of an effectiv…