Calculation of second order statistics of uncertain linear systems applying reduced order models
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M. A. Valdebenito | Hector A. Jensen | I. V. González | J. I. Correa | M. Valdebenito | H. Jensen | J. I. Correa
[1] Marcin Kamiński,et al. On generalized stochastic perturbation‐based finite element method , 2005 .
[2] Michael B. Giles,et al. Multilevel Monte Carlo Path Simulation , 2008, Oper. Res..
[3] B. Efron. Bootstrap Methods: Another Look at the Jackknife , 1979 .
[4] C. Gogu,et al. Efficient surrogate construction by combining response surface methodology and reduced order modeling , 2013, Structural and Multidisciplinary Optimization.
[5] Wilson H. Tang,et al. Probability Concepts in Engineering: Emphasis on Applications to Civil and Environmental Engineering , 2006 .
[6] J S Hodges,et al. Elastic properties and apparent density of human edentulous maxilla and mandible. , 2009, International journal of oral and maxillofacial surgery.
[7] L. Sirovich. Turbulence and the dynamics of coherent structures. I. Coherent structures , 1987 .
[8] Bruno Sudret,et al. Sparse polynomial chaos expansions and adaptive stochastic finite elements using a regression approach , 2008 .
[9] C. Farhat,et al. Design optimization using hyper-reduced-order models , 2015 .
[10] Jianbing Chen,et al. Probability density evolution method for dynamic response analysis of structures with uncertain parameters , 2004 .
[11] Giovanni Falsone,et al. An APDM-based method for the analysis of systems with uncertainties , 2014 .
[12] Hector A. Jensen,et al. Sensitivity estimation of failure probability applying line sampling , 2018, Reliab. Eng. Syst. Saf..
[13] Siu-Kui Au,et al. Engineering Risk Assessment with Subset Simulation , 2014 .
[14] Timothy B. Terriberry,et al. Numerically stable, scalable formulas for parallel and online computation of higher-order multivariate central moments with arbitrary weights , 2016, Comput. Stat..
[15] Raghu Pasupathy,et al. Control-variate estimation using estimated control means , 2012 .
[16] G. I. Schuëller,et al. On the treatment of uncertainties in structural mechanics and analysis , 2007 .
[17] Sondipon Adhikari,et al. A hybrid spectral and metamodeling approach for the stochastic finite element analysis of structural dynamic systems , 2014 .
[18] Naoki Fujisawa,et al. Elastic modulus and stress-strain response of human enamel by nano-indentation. , 2006, Biomaterials.
[19] Armen Der Kiureghian,et al. Comparison of finite element reliability methods , 2002 .
[20] Giovanni Falsone,et al. On the application of the probability transformation method for the analysis of discretized structures with uncertain proprieties , 2014 .
[21] Michael V Swain,et al. Micro-mechanical characterisation of the properties of primary tooth dentine. , 2003, Journal of dentistry.
[22] K. Bathe. Finite Element Procedures , 1995 .
[23] Hector A. Jensen,et al. A physical domain-based substructuring as a framework for dynamic modeling and reanalysis of systems , 2017 .
[24] K. A. Cliffe,et al. Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients , 2011, Comput. Vis. Sci..
[25] Ronald L. Wasserstein,et al. Monte Carlo: Concepts, Algorithms, and Applications , 1997 .
[26] S'ebastien Boyaval,et al. A fast Monte–Carlo method with a reduced basis of control variates applied to uncertainty propagation and Bayesian estimation , 2012, 1202.0781.
[27] R. Nelsen. An Introduction to Copulas , 1998 .
[28] P H Jacobsen,et al. Elastic modulus of the periodontal ligament. , 1997, Biomaterials.
[29] M. J. Box. Bias in Nonlinear Estimation , 1971 .
[30] Sung-Eun Cho. Probabilistic analysis of seepage that considers the spatial variability of permeability for an embankment on soil foundation , 2012 .
[31] Günther Meschke,et al. Recurrent neural networks and proper orthogonal decomposition with interval data for real-time predictions of mechanised tunnelling processes , 2017, Computers & Structures.
[32] G. Schuëller,et al. On the Capabilities of the Polynomial Chaos Expansion Method within SFE Analysis—An Overview , 2011 .
[33] Stephen J. Wright,et al. Numerical Optimization , 2018, Fundamental Statistical Inference.
[34] G. Stefanou. The stochastic finite element method: Past, present and future , 2009 .
[35] L. Gallimard,et al. Towards error bounds of the failure probability of elastic structures using reduced basis models , 2017 .
[36] Anthony T. Patera,et al. A reduced basis approach for variational problems with stochastic parameters: Application to heat conduction with variable Robin coefficient , 2009 .
[37] D T Davy,et al. Determination of Stress Patterns in Root-filled Teeth Incorporating Various Dowel Designs , 1981, Journal of dental research.
[38] Leo Wai-Tsun Ng,et al. Multifidelity approaches for optimization under uncertainty , 2014 .
[39] Edoardo Patelli,et al. General purpose software for efficient uncertainty management of large finite element models , 2012, Finite elements in analysis and design : the international journal of applied finite elements and computer aided engineering.
[40] R. Ghanem,et al. Polynomial Chaos in Stochastic Finite Elements , 1990 .
[41] Gianluca Geraci,et al. Multifidelity Optimization under Uncertainty for a Scramjet-Inspired Problem , 2018 .
[42] A. Corigliano,et al. Model Order Reduction and domain decomposition strategies for the solution of the dynamic elastic–plastic structural problem , 2015 .
[43] Eric Li,et al. Smoothed finite element method for analysis of multi-layered systems - Applications in biomaterials , 2016 .
[44] Bin Huang,et al. Hybrid perturbation-Galerkin methods for structural reliability analysis , 2017 .
[45] Ahmed K. Noor,et al. Approximate techniques of strctural reanalysis , 1974 .
[46] M. Yousuff Hussaini,et al. Exploitation of Sensitivity Derivatives for Improving Sampling Methods , 2003 .
[47] Barrie Stokes. mathStatica 2.5 , 2012 .
[48] Masanobu Shinozuka,et al. Neumann Expansion for Stochastic Finite Element Analysis , 1988 .
[49] G. Falsone,et al. A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters , 2002 .
[50] R. Haftka,et al. Elements of Structural Optimization , 1984 .
[51] Benjamin Peherstorfer,et al. Optimal Model Management for Multifidelity Monte Carlo Estimation , 2016, SIAM J. Sci. Comput..