Some variance reduction methods for numerical stochastic homogenization
Author:
Affiliation:
1. Université Paris Diderot, Sorbonne Paris Cité, Laboratoire Jacques-Louis Lions, UMR 7598, UPMC, CNRS, 75205 Paris, France
2. Ecole des Ponts and INRIA, 6 and 8 Avenue Blaise Pascal, 77455 Marne-la-Vallée Cedex 2, France
Abstract
Funder
EOARD
Publisher
The Royal Society
Subject
General Physics and Astronomy,General Engineering,General Mathematics
Link
https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2015.0168
Reference23 articles.
1. Bensoussan A Lions J-L Papanicolaou G. 1978 Asymptotic analysis for periodic structures . Studies in Mathematics and its Applications vol. 5. Amsterdam The Netherlands: North-Holland.
2. Homogenization of Differential Operators and Integral Functionals
3. Anantharaman A Costaouec R Le Bris C Legoll F Thomines F. 2011 Introduction to numerical stochastic homogenization and the related computational challenges: some recent developments. In Multiscale modeling and analysis for materials simulation (eds W Bao Q Du) vol. 22 pp. 197–272. Lecture Notes Series Institute for Mathematical Sciences National University of Singapore. Singapore: World Scientific.
4. Le Bris C. 2009 Some numerical approaches for weakly random homogenization. In Numerical mathematics and advanced applications 2009 (eds G Kreiss P Lötstedt A Målqvist M Neytcheva) pp. 29–45. Springer Lecture Notes in Computational Science and Engineering. Berlin Germany: Springer.
5. Homogenization theory and multiscale numerical approaches for disordered media: some recent contributions
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