2 papers
math.NA2024
A Simple Collocation-Type Approach to Numerical Stochastic Homogenization
Moritz Hauck, Hannah Mohr, Daniel Peterseim
This paper proposes a novel collocation-type numerical stochastic homogenization method for prototypical stochastic homogenization problems with random coefficient fields of small…
math.NA2024
Hierarchical Super-Localized Orthogonal Decomposition Method
Jose C. Garay, Hannah Mohr, Daniel Peterseim +1
We present the construction of a sparse-compressed operator that approximates the solution operator of elliptic PDEs with rough coefficients. To derive the compressed operator, we…