Polynomial chaos expansions and stochastic finite-element methods - Risk and Reliability in Geotechnical Engineering - page 293

Berveiller, M., B. Sudret, and M. Lemaire. 2004b. Presentation of two methods for computing the
response coefficients in stochastic finite element analysis. In Proceedings of the 9th ASCE Specialty
Conference on Probabilistic Mechanics and Structural Reliability , Albuquerque, USA.
Berveiller, M., B. Sudret, and M. Lemaire. 2006. Stochastic finite elements: A nonintrusive approach by
regression. Eur. J. Comput. Mech. 15 (1-3), 81-92.
Blatman, G. 2009. Adaptive Sparse Polynomial Chaos Expansions for Uncertainty Propagation and
Sensitivity Analysis. PhD thesis, Université Blaise Pascal, Clermont-Ferrand.
Blatman, G. and B. Sudret. 2008. Sparse polynomial chaos expansions and adaptive stochastic finite
elements using a regression approach. Comptes Rendus Mécanique 336 (6), 518-523.
Blatman, G. and B. Sudret. 2010. An adaptive algorithm to build up sparse polynomial chaos expan-
sions for stochastic finite element analysis. Prob. Eng. Mech. 25 (2), 183-197.
Blatman, G. and B. Sudret. 2011a. Adaptive sparse polynomial chaos expansion based on least angle
regression. J. Comput. Phys. 230, 2345-2367.
Blatman, G. and B. Sudret. 2011b. Principal component analysis and least angle regression in spec-
tral stochastic finite element analysis. In M. Faber (ed.), Proceedings of the 11th International
Conference on Applications of Statistics and Probability in Civil Engineering (ICASP11) , Zurich,
Switzerland.
Blatman, G. and B. Sudret. 2013. Sparse polynomial chaos expansions of vector-valued response quan-
tities. In G. Deodatis (ed.), Proceedings of the 11th International Conference on Structural Safety
and Reliability (ICOSSAR'2013) , New York, USA.
Caniou, Y. 2012. Global Sensitivity Analysis for Nested and Multiscale Models. PhD thesis, Université
Blaise Pascal, Clermont-Ferrand.
Chapelle, O., V. Vapnik, and Y. Bengio. 2002. Model selection for small sample regression. Mach. Learn.
48 (1), 9-23.
Clouteau, D. and R. Lafargue. 2003. An iterative solver for stochastic soil-structure interaction. In P.
Spanos and G. Deodatis (eds.), Proceedings of the 4th International Conference on Computer
Stochastic Mechanics (CSM4), pp. 119-124. Corfu.
De Rocquigny, E. 2012. Modelling Under Risk and Uncertainty: An Introduction to Statistical,
Phenomenological and Computational Methods. Wiley series in probability and statistics. John
Wiley & Sons, Chichester.
DeGroot, D. and G. Baecher. 1993. Estimating autocovariance of in-situ soil properties. J. Geo. Eng.
119 (1), 147-166.
Ditlevsen, O. and H. Madsen. 1996. Structural Reliability Methods. John Wiley & Sons, Chichester.
Dubourg, V., B. Sudret, and J.-M. Bourinet. 2011. Reliability-based design optimization using Kriging
and subset simulation. Struct. Multidisc. Optim. 44 (5), 673-690.
Efron, B., T. Hastie, I. Johnstone, and R. Tibshirani. 2004. Least angle regression. Ann. Stat. 32, 407-499.
Fenton, G.-A. 1999a. Estimation for stochastic soil models. J. Geo. Eng. 125 (6), 470-485.
Fenton, G.-A. 1999b. Random field modeling of CPT data. J. Geo. Eng. 125 (6), 486-498.
Geisser, S. 1975. The predictive sample reuse method with applications. J. Am. Stat. Assoc. 70, 320-328.
Ghanem, R. and V. Brzkala. 1996. Stochastic finite element analysis of randomly layered media. J. Eng.
Mech. 122 (4), 361-369.
Ghanem, R. and P. Spanos. 1991. Stochastic Finite Elements: A Spectral Approach. Springer Verlag,
New York. (Reedited by Dover Publications, 2003).
Ghiocel, D. and R. Ghanem. 2002. Stochastic finite element analysis of seismic soil-structure interac-
tion. J. Eng. Mech. 128 , 66-77.
Hastie, T., J. Taylor, R. Tibshirani, and G. Walther. 2007. Forward stagewise regression and the mono-
tone lasso. Electron. J. Stat. 1, 1-29.
Isukapalli, S. S. 1999. Uncertainty Analysis of Transport-Transformation Models. PhD thesis, The State
University of New Jersey.
Lang, H.-J., J. Huder, P. Amann, and A.-M. Puzrin. 2007. Bodenmechanik und Grundbau. Springer,
Berlin, Heidelberg
Le Maître, O., M. Reagan, H. Najm, R. Ghanem, and O. Knio. 2002. A stochastic projection method
for fluid flow—II. Random process. J. Comput. Phys. 181, 9-44.