Oberwolfach Reports

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Volume 10, Issue 1, 2013, pp. 393–431
DOI: 10.4171/OWR/2013/07

Mini-Workshop: Numerical Upscaling for Media with Deterministic and Stochastic Heterogeneity

Yalchin Efendiev[1], Oleg Iliev[2] and Panayot S. Vassilevski[3]

(1) Texas A&M University, College Station, USA
(2) ITWM, Kaiserslautern, Germany
(3) Lawrence Livermore National Laboratory, USA

This minisymposium was third in series of similar events, after two very successful meetings in 2005 and 2009. The aim was to provide a forum for an extensive discussion on the theoretical aspects and on the areas of application and validity of numerical upscaling approaches for heterogeneous problems with deterministic and stochastic coefficients. The intensive discussions during the meeting contributed to a better understanding of upscaling approaches for multiscale problems with stochastic coefficients, and for synergy between scientists coming to this topic from the area of deterministic multiscale problems on one hand, and those coming from the area of SPDE on the other hand. Recent advanced results on upscaling approaches for deterministic multiscale problems were presented, well mixed with strong presentations on SDE and SPDE. The open problems in these areas were discussed, with emphasis on the case of stochastic coefficients brainstorming numerous numerical upscaling approaches. A number of young researchers, very actively working in these areas, were involved in the workshop discussing the links between scales., thus ensuring the continuity between the generations of researchers.

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Efendiev Yalchin, Iliev Oleg, Vassilevski Panayot: Mini-Workshop: Numerical Upscaling for Media with Deterministic and Stochastic Heterogeneity. Oberwolfach Rep. 10 (2013), 393-431. doi: 10.4171/OWR/2013/07