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math.AP2018
Gradient-based dimension reduction of multivariate vector-valued functions
Olivier Zahm, Paul Constantine, Clémentine Prieur +1
Multivariate functions encountered in high-dimensional uncertainty quantification problems often vary most strongly along a few dominant directions in the input parameter space. We…
math.AP2013
Application of Hierarchical Matrix Techniques To The Homogenization of Composite Materials
Paul Cazeaux, Olivier Zahm
In this paper, we study numerical homogenization methods based on integral equations. Our work is motivated by materials such as concrete, modeled as composites structured as rando…