113 citations · 408 across the 25 of their papers we have counts for
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A model and variance reduction method for computing statistical outputs of stochastic elliptic partial differential equations
Ferran Vidal-Codina, Ngoc-Cuong Nguyen, Mike B. Giles +1
We present a model and variance reduction method for the fast and reliable computation of statistical outputs of stochastic elliptic partial differential equations. Our method cons…
Functional Gaussian processes for regression with linear PDE models
Ngoc-Cuong Nguyen, Jaime Peraire
In this paper, we present a new statistical approach to the problem of incorporating experimental observations into a mathematical model described by linear partial differential eq…
Robust topology optimization of three-dimensional photonic-crystal band-gap structures
Han Men, Karen Y. K. Lee, Robert M. Freund +2
We perform full 3D topology optimization (in which "every voxel" of the unit cell is a degree of freedom) of photonic-crystal structures in order to find optimal omnidirectional ba…