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math.AP2018★ 4 cited
Homogenization, linearization and large-scale regularity for nonlinear elliptic equations
Scott Armstrong, Sam Ferguson, Tuomo Kuusi
We consider nonlinear, uniformly elliptic equations with random, highly oscillating coefficients satisfying a finite range of dependence. We prove that homogenization and lineariza…
math.NA2018
An iterative method for elliptic problems with rapidly oscillating coefficients
S. Armstrong, A. Hannukainen, T. Kuusi +1
We introduce a new iterative method for computing solutions of elliptic equations with random rapidly oscillating coefficients. Similarly to a multigrid method, each step of the it…