2 papers
math.NA2018
Tensor-based numerical method for stochastic homogenisation
Quentin Ayoul-Guilmard, Anthony Nouy, Christophe Binetruy
This paper addresses the complexity reduction of stochastic homogenisation of a class of random materials for a stationary diffusion equation. A cost-efficient approximation of the…
math.NA2017
Tensor-based multiscale method for diffusion problems in quasi-periodic heterogeneous media
Quentin Ayoul-Guilmard, Anthony Nouy, Christophe Binetruy
This paper proposes to address the issue of complexity reduction for the numerical simulation of multiscale media in a quasi-periodic setting. We consider a stationary elliptic dif…