186 citations · 1k across the 57 of their papers we have counts for
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Stochastic homogenization of fully nonlinear uniformly elliptic equations revisited
Scott N. Armstrong, Charles K. Smart
We give a simplified presentation of the obstacle problem approach to stochastic homogenization for elliptic equations in nondivergence form. Our argument also applies to equations…
Regularity and stochastic homogenization of fully nonlinear equations without uniform ellipticity
Scott N. Armstrong, Charles K. Smart
We prove regularity and stochastic homogenization results for certain degenerate elliptic equations in nondivergence form. The equation is required to be strictly elliptic, but the…
Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations
Scott N. Armstrong, Pierre Cardaliaguet, Panagiotis E. Souganidis
We present exponential error estimates and demonstrate an algebraic convergence rate for the homogenization of level-set convex Hamilton-Jacobi equations in i.i.d. random environme…
Stochastic homogenization of level-set convex Hamilton-Jacobi equations
Scott N. Armstrong, Panagiotis E. Souganidis
We present a simple new proof for the stochastic homogenization of quasiconvex (level-set convex) Hamilton-Jacobi equations set in stationary ergodic environments. Our approach, wh…
Concentration phenomena for neutronic multigroup diffusion in random environments
Scott N. Armstrong, Panagiotis E. Souganidis
We study the asymptotic behavior of the principal eigenvalue of a weakly coupled, cooperative linear elliptic system in a stationary ergodic heterogeneous medium. The system arises…