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Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Uncertainty quantification for porous media flow using multilevel Monte Carlo
 Lirkov, I.: LargeScale Scientific Computing. 10th International Conference, LSSC 2015 : Sozopol, Bulgaria, June 812, 2015. Revised Selected Papers Cham: Springer International Publishing, 2015 (Lecture Notes in Computer Science 9374) ISBN: 9783319265193 (Print) ISBN: 9783319265209 pp.145152 
 International Conference on LargeScale Scientific Computing (LSSC) <10, 2015, Sozopol> 

 English 
 Conference Paper 
 Fraunhofer ITWM () 
Abstract
Uncertainty quantification (UQ) for porous media flow is of great importance for many societal, environmental and industrial problems. An obstacle for progress in this area is the extreme computational effort needed for solving realistic problems. It is expected that exascale computers will open the door for a significant progress in this area. We demonstrate how new features of the Distributed and Unified Numerics Environment DUNE [1] address these challenges. In the frame of the DFG funded project EXADUNE the software has been extended by multiscale finite element methods (MsFEM) and by a parallel framework for the multilevel Monte Carlo (MLMC) approach. This is a general concept for computing expected values of simulation results depending on random fields, e.g. the permeability of porous media. It belongs to the class of variance reduction methods and overcomes the slow convergence of classical Monte Carlo by combining cheap/inexact and expensive/accurate solutions in an optimal ratio.