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Fast r-adaptivity for multiple queries of heterogeneous stochastic material fields

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Cottereau, Régis
Díez, PedroMés informacióMés informacióMés informació
Document typeArticle
Defense date2015-10-01
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
Abstract
We present an r-adaptivity approach for boundary value problems with randomly fluctuating material parameters solved through the Monte Carlo or stochastic collocation methods. This approach tailors a specific mesh for each sample of the problem. It only requires the computation of the solution of a single deterministic problem with the same geometry and the average parameter, whose numerical cost becomes marginal for large number of samples. Starting from the mesh used to solve that deterministic problem, the nodes are moved depending on the particular sample of mechanical parameter field. The reduction in the error is small for each sample but sums up to reduce the overall bias on the statistics estimated through the Monte Carlo scheme. Several numerical examples in 2D are presented.
CitationCottereau, R., Diez, P. Fast r-adaptivity for multiple queries of heterogeneous stochastic material fields. "Computational mechanics", 01 Octubre 2015, vol. 56, núm. 4, p. 601-612. 
URIhttp://hdl.handle.net/2117/86637
DOI10.1007/s00466-015-1190-x
ISSN0178-7675
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  • Departament d'Enginyeria Civil i Ambiental - Articles de revista [2.617]
  • LaCàN - Mètodes Numèrics en Ciències Aplicades i Enginyeria - Articles de revista [557]
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