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

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.
Complete list of metadatas

Cited literature [58 references]  Display  Hide  Download

https://hal-ecp.archives-ouvertes.fr/hal-01200721
Contributor : Régis Cottereau <>
Submitted on : Thursday, September 17, 2015 - 9:48:58 AM
Last modification on : Sunday, October 6, 2019 - 12:02:27 AM
Long-term archiving on: Tuesday, December 29, 2015 - 7:40:49 AM

File

AdapMC.pdf
Files produced by the author(s)

Identifiers

Citation

Régis Cottereau, Pedro Diez. Fast r-adaptivity for multiple queries of heterogeneous stochastic material fields. Computational Mechanics, Springer Verlag, 2015, 56 (4), pp.601-612. ⟨10.1007/s00466-015-1190-x⟩. ⟨hal-01200721⟩

Share

Metrics

Record views

302

Files downloads

306