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- W2765267013 abstract "We approximate the homogenization of fully nonlinear, convex, uniformly elliptic Partial Differential Equations in the periodic setting, using a variational formula for the optimal invariant measure, which may be derived via Legendre-Fenchel duality. The variational formula expresses $bar H$ as an average of the operator against the optimal invariant measure, generalizing the linear case. Several nontrivial analytic formulas for $bar H$ are obtained. These formulas are compared to numerical simulations, using both PDE and variational methods. We also perform a numerical study of convergence rates for homogenization in the periodic and random setting and compare these to theoretical results." @default.
- W2765267013 created "2017-11-10" @default.
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- W2765267013 date "2017-10-27" @default.
- W2765267013 modified "2023-09-27" @default.
- W2765267013 title "Approximate homogenization of convex nonlinear elliptic PDEs" @default.
- W2765267013 hasPublicationYear "2017" @default.
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