Tallman, Tyler N.; Homa, Laura; Flores, Mark; Wertz, John Damage mapping via electrical impedance tomography in complex AM shapes using mixed smoothness and Bayesian regularization. (English) Zbl 07725716 Comput. Methods Appl. Mech. Eng. 414, Article ID 116185, 15 p. (2023). MSC: 74-XX 92-XX PDFBibTeX XMLCite \textit{T. N. Tallman} et al., Comput. Methods Appl. Mech. Eng. 414, Article ID 116185, 15 p. (2023; Zbl 07725716) Full Text: DOI
Tan, Jingye; Liang, Baoshan; Singh, Pratyush Kumar; Farrell-Maupin, Kathryn A.; Faghihi, Danial Toward selecting optimal predictive multiscale models. (English) Zbl 1507.74011 Comput. Methods Appl. Mech. Eng. 402, Article ID 115517, 27 p. (2022). MSC: 74-10 74S60 PDFBibTeX XMLCite \textit{J. Tan} et al., Comput. Methods Appl. Mech. Eng. 402, Article ID 115517, 27 p. (2022; Zbl 1507.74011) Full Text: DOI
Guo, Mengwu; McQuarrie, Shane A.; Willcox, Karen E. Bayesian operator inference for data-driven reduced-order modeling. (English) Zbl 1507.65105 Comput. Methods Appl. Mech. Eng. 402, Article ID 115336, 21 p. (2022). MSC: 65K10 62F15 65M06 PDFBibTeX XMLCite \textit{M. Guo} et al., Comput. Methods Appl. Mech. Eng. 402, Article ID 115336, 21 p. (2022; Zbl 1507.65105) Full Text: DOI arXiv
Nitzler, Jonas; Biehler, Jonas; Fehn, Niklas; Koutsourelakis, Phaedon-Stelios; Wall, Wolfgang A. A generalized probabilistic learning approach for multi-fidelity uncertainty quantification in complex physical simulations. (English) Zbl 1507.76178 Comput. Methods Appl. Mech. Eng. 400, Article ID 115600, 36 p. (2022). MSC: 76M35 65C05 62F15 76-10 PDFBibTeX XMLCite \textit{J. Nitzler} et al., Comput. Methods Appl. Mech. Eng. 400, Article ID 115600, 36 p. (2022; Zbl 1507.76178) Full Text: DOI arXiv
Bartuska, Arved; Espath, Luis; Tempone, Raúl Small-noise approximation for Bayesian optimal experimental design with nuisance uncertainty. (English) Zbl 1507.62273 Comput. Methods Appl. Mech. Eng. 399, Article ID 115320, 21 p. (2022); corrigendum ibid. 410, Article ID 115995, 6 p. (2023). MSC: 62K05 62F15 65C05 PDFBibTeX XMLCite \textit{A. Bartuska} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115320, 21 p. (2022; Zbl 1507.62273) Full Text: DOI arXiv
Deshpande, Saurabh; Lengiewicz, Jakub; Bordas, Stéphane P. A. Probabilistic deep learning for real-time large deformation simulations. (English) Zbl 1507.65019 Comput. Methods Appl. Mech. Eng. 398, Article ID 115307, 26 p. (2022). MSC: 65C20 68T07 PDFBibTeX XMLCite \textit{S. Deshpande} et al., Comput. Methods Appl. Mech. Eng. 398, Article ID 115307, 26 p. (2022; Zbl 1507.65019) Full Text: DOI arXiv
Joshi, Akshay; Thakolkaran, Prakash; Zheng, Yiwen; Escande, Maxime; Flaschel, Moritz; De Lorenzis, Laura; Kumar, Siddhant Bayesian-EUCLID: discovering hyperelastic material laws with uncertainties. (English) Zbl 1507.74073 Comput. Methods Appl. Mech. Eng. 398, Article ID 115225, 36 p. (2022). MSC: 74B20 74S60 PDFBibTeX XMLCite \textit{A. Joshi} et al., Comput. Methods Appl. Mech. Eng. 398, Article ID 115225, 36 p. (2022; Zbl 1507.74073) Full Text: DOI arXiv
Gong, Xianliang; Pan, Yulin Sequential Bayesian experimental design for estimation of extreme-event probability in stochastic input-to-response systems. (English) Zbl 1507.65020 Comput. Methods Appl. Mech. Eng. 395, Article ID 114979, 17 p. (2022). MSC: 65C20 60G35 62Kxx PDFBibTeX XMLCite \textit{X. Gong} and \textit{Y. Pan}, Comput. Methods Appl. Mech. Eng. 395, Article ID 114979, 17 p. (2022; Zbl 1507.65020) Full Text: DOI arXiv
Povala, Jan; Kazlauskaite, Ieva; Febrianto, Eky; Cirak, Fehmi; Girolami, Mark Variational Bayesian approximation of inverse problems using sparse precision matrices. (English) Zbl 1507.35343 Comput. Methods Appl. Mech. Eng. 393, Article ID 114712, 31 p. (2022). MSC: 35R30 60H35 35-04 PDFBibTeX XMLCite \textit{J. Povala} et al., Comput. Methods Appl. Mech. Eng. 393, Article ID 114712, 31 p. (2022; Zbl 1507.35343) Full Text: DOI arXiv
Hao, Changyu; Cheung, Sai Hung Bayesian updating of failure probability curves with multiple performance functions of nonlinear structural dynamic systems. (English) Zbl 1507.74552 Comput. Methods Appl. Mech. Eng. 393, Article ID 113850, 18 p. (2022). MSC: 74S60 62N05 PDFBibTeX XMLCite \textit{C. Hao} and \textit{S. H. Cheung}, Comput. Methods Appl. Mech. Eng. 393, Article ID 113850, 18 p. (2022; Zbl 1507.74552) Full Text: DOI
Jia, Xinyu; Sedehi, Omid; Papadimitriou, Costas; Katafygiotis, Lambros S.; Moaveni, Babak Nonlinear model updating through a hierarchical Bayesian modeling framework. (English) Zbl 1507.74554 Comput. Methods Appl. Mech. Eng. 392, Article ID 114646, 27 p. (2022). MSC: 74S60 62C10 62-08 PDFBibTeX XMLCite \textit{X. Jia} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114646, 27 p. (2022; Zbl 1507.74554) Full Text: DOI Link
Song, Chaolin; Wang, Zeyu; Shafieezadeh, Abdollah; Xiao, Rucheng BUAK-AIS: efficient Bayesian updating with active learning kriging-based adaptive importance sampling. (English) Zbl 1507.62308 Comput. Methods Appl. Mech. Eng. 391, Article ID 114578, 22 p. (2022). MSC: 62N05 62F15 65C05 65C20 PDFBibTeX XMLCite \textit{C. Song} et al., Comput. Methods Appl. Mech. Eng. 391, Article ID 114578, 22 p. (2022; Zbl 1507.62308) Full Text: DOI
Wang, Mengmeng; Feng, Shizhe; Incecik, Atilla; Królczyk, Grzegorz; Li, Zhixiong Structural fatigue life prediction considering model uncertainties through a novel digital twin-driven approach. (English) Zbl 1507.74424 Comput. Methods Appl. Mech. Eng. 391, Article ID 114512, 19 p. (2022). MSC: 74R10 74S60 PDFBibTeX XMLCite \textit{M. Wang} et al., Comput. Methods Appl. Mech. Eng. 391, Article ID 114512, 19 p. (2022; Zbl 1507.74424) Full Text: DOI
Dölz, Jürgen; Harbrecht, Helmut; Jerez-Hanckes, Carlos; Multerer, Michael Isogeometric multilevel quadrature for forward and inverse random acoustic scattering. (English) Zbl 1507.74529 Comput. Methods Appl. Mech. Eng. 388, Article ID 114242, 18 p. (2022). MSC: 74S15 65N38 65D32 74J20 76Q05 PDFBibTeX XMLCite \textit{J. Dölz} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114242, 18 p. (2022; Zbl 1507.74529) Full Text: DOI arXiv
Gulian, M.; Frankel, A.; Swiler, L. Gaussian process regression constrained by boundary value problems. (English) Zbl 1507.62232 Comput. Methods Appl. Mech. Eng. 388, Article ID 114117, 18 p. (2022). MSC: 62F15 65N21 PDFBibTeX XMLCite \textit{M. Gulian} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114117, 18 p. (2022; Zbl 1507.62232) Full Text: DOI arXiv
Tsilifis, Panagiotis; Pandita, Piyush; Ghosh, Sayan; Andreoli, Valeria; Vandeputte, Thomas; Wang, Liping Bayesian learning of orthogonal embeddings for multi-fidelity Gaussian processes. (English) Zbl 1507.62236 Comput. Methods Appl. Mech. Eng. 386, Article ID 114147, 23 p. (2021). MSC: 62F15 60G15 62G08 65C05 PDFBibTeX XMLCite \textit{P. Tsilifis} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114147, 23 p. (2021; Zbl 1507.62236) Full Text: DOI arXiv
Zhang, Bei-Yang; Ni, Yi-Qing A hybrid sequential sampling strategy for sparse polynomial chaos expansion based on compressive sampling and Bayesian experimental design. (English) Zbl 1507.62238 Comput. Methods Appl. Mech. Eng. 386, Article ID 114130, 29 p. (2021). MSC: 62F15 62K05 65K99 PDFBibTeX XMLCite \textit{B.-Y. Zhang} and \textit{Y.-Q. Ni}, Comput. Methods Appl. Mech. Eng. 386, Article ID 114130, 29 p. (2021; Zbl 1507.62238) Full Text: DOI
Noii, Nima; Khodadadian, Amirreza; Wick, Thomas Bayesian inversion for anisotropic hydraulic phase-field fracture. (English) Zbl 1507.74408 Comput. Methods Appl. Mech. Eng. 386, Article ID 114118, 37 p. (2021). MSC: 74R10 74S05 65M60 76S05 PDFBibTeX XMLCite \textit{N. Noii} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114118, 37 p. (2021; Zbl 1507.74408) Full Text: DOI arXiv
Yan, Liang; Zhou, Tao Stein variational gradient descent with local approximations. (English) Zbl 1507.65016 Comput. Methods Appl. Mech. Eng. 386, Article ID 114087, 20 p. (2021). MSC: 65C05 62F15 PDFBibTeX XMLCite \textit{L. Yan} and \textit{T. Zhou}, Comput. Methods Appl. Mech. Eng. 386, Article ID 114087, 20 p. (2021; Zbl 1507.65016) Full Text: DOI arXiv
Olivier, Audrey; Shields, Michael D.; Graham-Brady, Lori Bayesian neural networks for uncertainty quantification in data-driven materials modeling. (English) Zbl 1507.65021 Comput. Methods Appl. Mech. Eng. 386, Article ID 114079, 27 p. (2021). MSC: 65C20 68T07 PDFBibTeX XMLCite \textit{A. Olivier} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114079, 27 p. (2021; Zbl 1507.65021) Full Text: DOI
Pandita, Piyush; Tsilifis, Panagiotis; Awalgaonkar, Nimish M.; Bilionis, Ilias; Panchal, Jitesh Surrogate-based sequential Bayesian experimental design using non-stationary Gaussian processes. (English) Zbl 1502.62085 Comput. Methods Appl. Mech. Eng. 385, Article ID 114007, 17 p. (2021). MSC: 62L05 62F15 60G15 65C99 PDFBibTeX XMLCite \textit{P. Pandita} et al., Comput. Methods Appl. Mech. Eng. 385, Article ID 114007, 17 p. (2021; Zbl 1502.62085) Full Text: DOI
Abdulle, Assyr; Garegnani, Giacomo A probabilistic finite element method based on random meshes: a posteriori error estimators and Bayesian inverse problems. (English) Zbl 1506.65200 Comput. Methods Appl. Mech. Eng. 384, Article ID 113961, 29 p. (2021). MSC: 65N30 62F15 65N21 65N50 65N75 PDFBibTeX XMLCite \textit{A. Abdulle} and \textit{G. Garegnani}, Comput. Methods Appl. Mech. Eng. 384, Article ID 113961, 29 p. (2021; Zbl 1506.65200) Full Text: DOI arXiv
Pyrialakos, Stefanos; Kalogeris, Ioannis; Sotiropoulos, Gerasimos; Papadopoulos, Vissarion A neural network-aided Bayesian identification framework for multiscale modeling of nanocomposites. (English) Zbl 1506.74500 Comput. Methods Appl. Mech. Eng. 384, Article ID 113937, 24 p. (2021). MSC: 74S99 65C20 62F15 62M45 74E30 PDFBibTeX XMLCite \textit{S. Pyrialakos} et al., Comput. Methods Appl. Mech. Eng. 384, Article ID 113937, 24 p. (2021; Zbl 1506.74500) Full Text: DOI
Ni, Pinghe; Li, Jun; Hao, Hong; Han, Qiang; Du, Xiuli Probabilistic model updating via variational Bayesian inference and adaptive Gaussian process modeling. (English) Zbl 1506.62268 Comput. Methods Appl. Mech. Eng. 383, Article ID 113915, 22 p. (2021). MSC: 62F15 62G08 65C20 74R05 PDFBibTeX XMLCite \textit{P. Ni} et al., Comput. Methods Appl. Mech. Eng. 383, Article ID 113915, 22 p. (2021; Zbl 1506.62268) Full Text: DOI
Girolami, Mark; Febrianto, Eky; Yin, Ge; Cirak, Fehmi The statistical finite element method (statFEM) for coherent synthesis of observation data and model predictions. (English) Zbl 1506.65210 Comput. Methods Appl. Mech. Eng. 375, Article ID 113533, 32 p. (2021). MSC: 65N30 62F15 PDFBibTeX XMLCite \textit{M. Girolami} et al., Comput. Methods Appl. Mech. Eng. 375, Article ID 113533, 32 p. (2021; Zbl 1506.65210) Full Text: DOI arXiv
Sabater, Christian; Le Maître, Olivier; Congedo, Pietro Marco; Görtz, Stefan A Bayesian approach for quantile optimization problems with high-dimensional uncertainty sources. (English) Zbl 1506.74257 Comput. Methods Appl. Mech. Eng. 376, Article ID 113632, 32 p. (2021). MSC: 74P10 90C90 62F15 62G08 65K05 PDFBibTeX XMLCite \textit{C. Sabater} et al., Comput. Methods Appl. Mech. Eng. 376, Article ID 113632, 32 p. (2021; Zbl 1506.74257) Full Text: DOI Link
Wang, Ning; Yao, Wen; Zhao, Yong; Chen, Xiaoqian Bayesian calibration of computer models based on Takagi-Sugeno fuzzy models. (English) Zbl 1506.62269 Comput. Methods Appl. Mech. Eng. 378, Article ID 113724, 22 p. (2021). MSC: 62F15 62F86 65C20 PDFBibTeX XMLCite \textit{N. Wang} et al., Comput. Methods Appl. Mech. Eng. 378, Article ID 113724, 22 p. (2021; Zbl 1506.62269) Full Text: DOI
Huang, Yong; Beck, James L.; Li, Hui; Ren, Yulong Sequential sparse Bayesian learning with applications to system identification for damage assessment and recursive reconstruction of image sequences. (English) Zbl 1506.62265 Comput. Methods Appl. Mech. Eng. 373, Article ID 113545, 25 p. (2021). MSC: 62F15 62L12 65C20 94A08 PDFBibTeX XMLCite \textit{Y. Huang} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113545, 25 p. (2021; Zbl 1506.62265) Full Text: DOI
Jiang, Chen; Hu, Zhen; Liu, Yixuan; Mourelatos, Zissimos P.; Gorsich, David; Jayakumar, Paramsothy A sequential calibration and validation framework for model uncertainty quantification and reduction. (English) Zbl 1506.62267 Comput. Methods Appl. Mech. Eng. 368, Article ID 113172, 30 p. (2020). MSC: 62F15 60-08 60G15 62F10 62L99 PDFBibTeX XMLCite \textit{C. Jiang} et al., Comput. Methods Appl. Mech. Eng. 368, Article ID 113172, 30 p. (2020; Zbl 1506.62267) Full Text: DOI
Ebrahimzadeh Hassanabadi, Mohsen; Heidarpour, Amin; Eftekhar Azam, Saeed; Arashpour, Mehrdad Recursive principal component analysis for model order reduction with application in nonlinear Bayesian filtering. (English) Zbl 1506.62324 Comput. Methods Appl. Mech. Eng. 371, Article ID 113334, 27 p. (2020). MSC: 62H25 62F15 62-08 PDFBibTeX XMLCite \textit{M. Ebrahimzadeh Hassanabadi} et al., Comput. Methods Appl. Mech. Eng. 371, Article ID 113334, 27 p. (2020; Zbl 1506.62324) Full Text: DOI
Bigoni, Caterina; Zhang, Zhenying; Hesthaven, Jan S. Systematic sensor placement for structural anomaly detection in the absence of damaged states. (English) Zbl 1506.62536 Comput. Methods Appl. Mech. Eng. 371, Article ID 113315, 26 p. (2020). MSC: 62P30 60G15 62F15 62K99 65C20 PDFBibTeX XMLCite \textit{C. Bigoni} et al., Comput. Methods Appl. Mech. Eng. 371, Article ID 113315, 26 p. (2020; Zbl 1506.62536) Full Text: DOI
Ibrahimbegovic, Adnan; Matthies, Hermann G.; Karavelić, Emir Reduced model of macro-scale stochastic plasticity identification by Bayesian inference: application to quasi-brittle failure of concrete. (English) Zbl 1506.74062 Comput. Methods Appl. Mech. Eng. 372, Article ID 113428, 48 p. (2020). MSC: 74C05 74S05 65N30 74R10 74S60 PDFBibTeX XMLCite \textit{A. Ibrahimbegovic} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113428, 48 p. (2020; Zbl 1506.74062) Full Text: DOI
Huang, Yong; Yu, Jianqi; Beck, James L.; Zhu, Huiping; Li, Hui Novel sparseness-inducing dual Kalman filter and its application to tracking time-varying spatially-sparse structural stiffness changes and inputs. (English) Zbl 1506.62376 Comput. Methods Appl. Mech. Eng. 372, Article ID 113411, 34 p. (2020). MSC: 62M20 62F15 65C20 PDFBibTeX XMLCite \textit{Y. Huang} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113411, 34 p. (2020; Zbl 1506.62376) Full Text: DOI
Tarakanov, Alexadner; Elsheikh, Ahmed H. Optimal Bayesian experimental design for subsurface flow problems. (English) Zbl 1506.62354 Comput. Methods Appl. Mech. Eng. 370, Article ID 113208, 21 p. (2020). MSC: 62K05 62F15 65C20 PDFBibTeX XMLCite \textit{A. Tarakanov} and \textit{A. H. Elsheikh}, Comput. Methods Appl. Mech. Eng. 370, Article ID 113208, 21 p. (2020; Zbl 1506.62354) Full Text: DOI arXiv
Taghizadeh, Leila; Karimi, Ahmad; Stadlbauer, Benjamin; Weninger, Wolfgang J.; Kaniusas, Eugenijus; Heitzinger, Clemens Bayesian inversion for electrical-impedance tomography in medical imaging using the nonlinear Poisson-Boltzmann equation. (English) Zbl 1442.78008 Comput. Methods Appl. Mech. Eng. 365, Article ID 112959, 15 p. (2020). MSC: 78A46 62F15 62-08 78A55 PDFBibTeX XMLCite \textit{L. Taghizadeh} et al., Comput. Methods Appl. Mech. Eng. 365, Article ID 112959, 15 p. (2020; Zbl 1442.78008) Full Text: DOI
Carlon, André Gustavo; Dia, Ben Mansour; Espath, Luis; Lopez, Rafael Holdorf; Tempone, Raúl Nesterov-aided stochastic gradient methods using Laplace approximation for Bayesian design optimization. (English) Zbl 1436.62372 Comput. Methods Appl. Mech. Eng. 363, Article ID 112909, 27 p. (2020). MSC: 62K05 65C05 62L20 62-08 65N21 PDFBibTeX XMLCite \textit{A. G. Carlon} et al., Comput. Methods Appl. Mech. Eng. 363, Article ID 112909, 27 p. (2020; Zbl 1436.62372) Full Text: DOI arXiv
Teferra, Kirubel; Brewick, Patrick T. A Bayesian model calibration framework to evaluate brain tissue characterization experiments. (English) Zbl 1442.62062 Comput. Methods Appl. Mech. Eng. 357, Article ID 112604, 17 p. (2019). MSC: 62F15 62-08 74L15 92B20 PDFBibTeX XMLCite \textit{K. Teferra} and \textit{P. T. Brewick}, Comput. Methods Appl. Mech. Eng. 357, Article ID 112604, 17 p. (2019; Zbl 1442.62062) Full Text: DOI
Sahli Costabal, Francisco; Perdikaris, Paris; Kuhl, Ellen; Hurtado, Daniel E. Multi-fidelity classification using Gaussian processes: accelerating the prediction of large-scale computational models. (English) Zbl 1442.62008 Comput. Methods Appl. Mech. Eng. 357, Article ID 112602, 16 p. (2019). MSC: 62-08 62H30 PDFBibTeX XMLCite \textit{F. Sahli Costabal} et al., Comput. Methods Appl. Mech. Eng. 357, Article ID 112602, 16 p. (2019; Zbl 1442.62008) Full Text: DOI arXiv
Xiao, D. Error estimation of the parametric non-intrusive reduced order model using machine learning. (English) Zbl 1441.62081 Comput. Methods Appl. Mech. Eng. 355, 513-534 (2019). MSC: 62F15 62G05 62-08 PDFBibTeX XMLCite \textit{D. Xiao}, Comput. Methods Appl. Mech. Eng. 355, 513--534 (2019; Zbl 1441.62081) Full Text: DOI Link
Yin, Minglang; Yazdani, Alireza; Karniadakis, George Em One-dimensional modeling of fractional flow reserve in coronary artery disease: uncertainty quantification and Bayesian optimization. (English) Zbl 1441.76150 Comput. Methods Appl. Mech. Eng. 353, 66-85 (2019). MSC: 76Z05 92B15 76M10 PDFBibTeX XMLCite \textit{M. Yin} et al., Comput. Methods Appl. Mech. Eng. 353, 66--85 (2019; Zbl 1441.76150) Full Text: DOI
Zhou, Yicheng; Lu, Zhenzhou; Cheng, Kai; Ling, Chunyan An efficient and robust adaptive sampling method for polynomial chaos expansion in sparse Bayesian learning framework. (English) Zbl 1441.62201 Comput. Methods Appl. Mech. Eng. 352, 654-674 (2019). MSC: 62K05 62F15 62-08 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Comput. Methods Appl. Mech. Eng. 352, 654--674 (2019; Zbl 1441.62201) Full Text: DOI
Arnst, M.; Soize, C. Identification and sampling of Bayesian posteriors of high-dimensional symmetric positive-definite matrices for data-driven updating of computational models. (English) Zbl 1441.62076 Comput. Methods Appl. Mech. Eng. 352, 300-323 (2019). MSC: 62F15 65F99 65C05 74S60 PDFBibTeX XMLCite \textit{M. Arnst} and \textit{C. Soize}, Comput. Methods Appl. Mech. Eng. 352, 300--323 (2019; Zbl 1441.62076) Full Text: DOI Link
Cheng, Hongyang; Shuku, Takayuki; Thoeni, Klaus; Tempone, Pamela; Luding, Stefan; Magnanimo, Vanessa An iterative Bayesian filtering framework for fast and automated calibration of DEM models. (English) Zbl 1441.74233 Comput. Methods Appl. Mech. Eng. 350, 268-294 (2019). MSC: 74S05 65N21 62F15 74E20 PDFBibTeX XMLCite \textit{H. Cheng} et al., Comput. Methods Appl. Mech. Eng. 350, 268--294 (2019; Zbl 1441.74233) Full Text: DOI
Latz, Jonas; Eisenberger, Marvin; Ullmann, Elisabeth Fast sampling of parameterised Gaussian random fields. (English) Zbl 1441.65001 Comput. Methods Appl. Mech. Eng. 348, 978-1012 (2019). MSC: 65C05 60G60 62F15 62M40 65N21 65N25 PDFBibTeX XMLCite \textit{J. Latz} et al., Comput. Methods Appl. Mech. Eng. 348, 978--1012 (2019; Zbl 1441.65001) Full Text: DOI arXiv
Tran, Anh; Sun, Jing; Furlan, John M.; Pagalthivarthi, Krishnan V.; Visintainer, Robert J.; Wang, Yan pBO-2GP-3B: a batch parallel known/unknown constrained Bayesian optimization with feasibility classification and its applications in computational fluid dynamics. (English) Zbl 1440.76130 Comput. Methods Appl. Mech. Eng. 347, 827-852 (2019). MSC: 76M35 90C56 90C90 PDFBibTeX XMLCite \textit{A. Tran} et al., Comput. Methods Appl. Mech. Eng. 347, 827--852 (2019; Zbl 1440.76130) Full Text: DOI
Liu, Yisi; Wang, Xiaojun; Wang, Lei; Lv, Zheng A Bayesian collocation method for static analysis of structures with unknown-but-bounded uncertainties. (English) Zbl 1440.74468 Comput. Methods Appl. Mech. Eng. 346, 727-745 (2019). MSC: 74S60 62F15 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Methods Appl. Mech. Eng. 346, 727--745 (2019; Zbl 1440.74468) Full Text: DOI
Asaadi, Erfan; Heyns, P. Stephan; Haftka, Raphael T.; Tootkaboni, Mazdak On the value of test data for reducing uncertainty in material models: computational framework and application to spherical indentation. (English) Zbl 1440.62008 Comput. Methods Appl. Mech. Eng. 346, 513-529 (2019). MSC: 62-08 62P30 62F15 62K20 PDFBibTeX XMLCite \textit{E. Asaadi} et al., Comput. Methods Appl. Mech. Eng. 346, 513--529 (2019; Zbl 1440.62008) Full Text: DOI Link
Guo, Mengwu; Hesthaven, Jan S. Data-driven reduced order modeling for time-dependent problems. (English) Zbl 1440.62346 Comput. Methods Appl. Mech. Eng. 345, 75-99 (2019). MSC: 62M99 62F15 65M60 PDFBibTeX XMLCite \textit{M. Guo} and \textit{J. S. Hesthaven}, Comput. Methods Appl. Mech. Eng. 345, 75--99 (2019; Zbl 1440.62346) Full Text: DOI Link
Olivier, Audrey; Smyth, Andrew W. A marginalized unscented Kalman filter for efficient parameter estimation with applications to finite element models. (English) Zbl 1440.93255 Comput. Methods Appl. Mech. Eng. 339, 615-643 (2018). MSC: 93E11 74S05 65N21 60G35 62F10 62F15 PDFBibTeX XMLCite \textit{A. Olivier} and \textit{A. W. Smyth}, Comput. Methods Appl. Mech. Eng. 339, 615--643 (2018; Zbl 1440.93255) Full Text: DOI
Mattis, Steven A.; Wohlmuth, Barbara Goal-oriented adaptive surrogate construction for stochastic inversion. (English) Zbl 1441.65006 Comput. Methods Appl. Mech. Eng. 339, 36-60 (2018). MSC: 65C20 62F15 62K20 PDFBibTeX XMLCite \textit{S. A. Mattis} and \textit{B. Wohlmuth}, Comput. Methods Appl. Mech. Eng. 339, 36--60 (2018; Zbl 1441.65006) Full Text: DOI arXiv
Kundu, A.; Matthies, H. G.; Friswell, M. I. Probabilistic optimization of engineering system with prescribed target design in a reduced parameter space. (English) Zbl 1440.62296 Comput. Methods Appl. Mech. Eng. 337, 281-304 (2018). MSC: 62K05 62F15 62K20 62K25 62-08 74P10 PDFBibTeX XMLCite \textit{A. Kundu} et al., Comput. Methods Appl. Mech. Eng. 337, 281--304 (2018; Zbl 1440.62296) Full Text: DOI Link
Beck, Joakim; Dia, Ben Mansour; Espath, Luis F. R.; Long, Quan; Tempone, Raúl Fast Bayesian experimental design: Laplace-based importance sampling for the expected information gain. (English) Zbl 1440.62293 Comput. Methods Appl. Mech. Eng. 334, 523-553 (2018). MSC: 62K05 65C05 62-08 PDFBibTeX XMLCite \textit{J. Beck} et al., Comput. Methods Appl. Mech. Eng. 334, 523--553 (2018; Zbl 1440.62293) Full Text: DOI arXiv Link
Zhang, Jiaxin; Shields, Michael D. The effect of prior probabilities on quantification and propagation of imprecise probabilities resulting from small datasets. (English) Zbl 1440.62099 Comput. Methods Appl. Mech. Eng. 334, 483-506 (2018). MSC: 62F15 60-08 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{M. D. Shields}, Comput. Methods Appl. Mech. Eng. 334, 483--506 (2018; Zbl 1440.62099) Full Text: DOI arXiv
Betz, Wolfgang; Papaioannou, Iason; Beck, James L.; Straub, Daniel Bayesian inference with subset simulation: strategies and improvements. (English) Zbl 1439.62080 Comput. Methods Appl. Mech. Eng. 331, 72-93 (2018). MSC: 62F15 62N05 65N21 PDFBibTeX XMLCite \textit{W. Betz} et al., Comput. Methods Appl. Mech. Eng. 331, 72--93 (2018; Zbl 1439.62080) Full Text: DOI Link
Lima, E. A. B. F.; Oden, J. T.; Wohlmuth, B.; Shahmoradi, A.; Hormuth, D. A.; Yankeelov, T. E.; Scarabosio, L.; Horger, T. Selection and validation of predictive models of radiation effects on tumor growth based on noninvasive imaging data. (English) Zbl 1439.92110 Comput. Methods Appl. Mech. Eng. 327, 277-305 (2017). MSC: 92C50 65M60 92-08 PDFBibTeX XMLCite \textit{E. A. B. F. Lima} et al., Comput. Methods Appl. Mech. Eng. 327, 277--305 (2017; Zbl 1439.92110) Full Text: DOI Link
Au, Siu-Kui; Xie, Yan-Long Calculation of Hessian under constraints with applications to Bayesian system identification. (English) Zbl 1439.62078 Comput. Methods Appl. Mech. Eng. 323, 373-388 (2017). MSC: 62F15 62H12 62-08 PDFBibTeX XMLCite \textit{S.-K. Au} and \textit{Y.-L. Xie}, Comput. Methods Appl. Mech. Eng. 323, 373--388 (2017; Zbl 1439.62078) Full Text: DOI
Asaadi, Erfan; Heyns, P. Stephan A computational framework for Bayesian inference in plasticity models characterisation. (English) Zbl 1439.74055 Comput. Methods Appl. Mech. Eng. 321, 455-481 (2017). MSC: 74C05 62F15 74S99 PDFBibTeX XMLCite \textit{E. Asaadi} and \textit{P. S. Heyns}, Comput. Methods Appl. Mech. Eng. 321, 455--481 (2017; Zbl 1439.74055) Full Text: DOI
Giovanis, Dimitris G.; Papaioannou, Iason; Straub, Daniel; Papadopoulos, Vissarion Bayesian updating with subset simulation using artificial neural networks. (English) Zbl 1439.92011 Comput. Methods Appl. Mech. Eng. 319, 124-145 (2017). MSC: 92B20 62F15 62H30 65C05 PDFBibTeX XMLCite \textit{D. G. Giovanis} et al., Comput. Methods Appl. Mech. Eng. 319, 124--145 (2017; Zbl 1439.92011) Full Text: DOI
Shao, Qian; Younes, Anis; Fahs, Marwan; Mara, Thierry A. Bayesian sparse polynomial chaos expansion for global sensitivity analysis. (English) Zbl 1439.62088 Comput. Methods Appl. Mech. Eng. 318, 474-496 (2017). MSC: 62F15 62-08 68W20 PDFBibTeX XMLCite \textit{Q. Shao} et al., Comput. Methods Appl. Mech. Eng. 318, 474--496 (2017; Zbl 1439.62088) Full Text: DOI HAL
Huang, Yong; Beck, James L.; Li, Hui Bayesian system identification based on hierarchical sparse Bayesian learning and Gibbs sampling with application to structural damage assessment. (English) Zbl 1439.65136 Comput. Methods Appl. Mech. Eng. 318, 382-411 (2017). MSC: 65N21 62F15 PDFBibTeX XMLCite \textit{Y. Huang} et al., Comput. Methods Appl. Mech. Eng. 318, 382--411 (2017; Zbl 1439.65136) Full Text: DOI arXiv Link
DiazDelaO, F. A.; Garbuno-Inigo, A.; Au, S. K.; Yoshida, I. Bayesian updating and model class selection with subset simulation. (English) Zbl 1439.62082 Comput. Methods Appl. Mech. Eng. 317, 1102-1121 (2017). MSC: 62F15 62N05 62-08 PDFBibTeX XMLCite \textit{F. A. DiazDelaO} et al., Comput. Methods Appl. Mech. Eng. 317, 1102--1121 (2017; Zbl 1439.62082) Full Text: DOI arXiv
Karathanasopoulos, N.; Angelikopoulos, P.; Papadimitriou, C.; Koumoutsakos, P. Bayesian identification of the tendon fascicle’s structural composition using finite element models for helical geometries. (English) Zbl 1439.74201 Comput. Methods Appl. Mech. Eng. 313, 744-758 (2017). MSC: 74L15 74S05 62F15 65N30 92C30 PDFBibTeX XMLCite \textit{N. Karathanasopoulos} et al., Comput. Methods Appl. Mech. Eng. 313, 744--758 (2017; Zbl 1439.74201) Full Text: DOI
Jensen, H. A.; Muñoz, A.; Papadimitriou, C.; Vergara, C. An enhanced substructure coupling technique for dynamic re-analyses: application to simulation-based problems. (English) Zbl 1436.74067 Comput. Methods Appl. Mech. Eng. 307, 215-234 (2016). MSC: 74S05 74-10 65L05 PDFBibTeX XMLCite \textit{H. A. Jensen} et al., Comput. Methods Appl. Mech. Eng. 307, 215--234 (2016; Zbl 1436.74067) Full Text: DOI
Babuška, Ivo; Sawlan, Zaid; Scavino, Marco; Szabó, Barna; Tempone, Raúl Bayesian inference and model comparison for metallic fatigue data. (English) Zbl 1426.62295 Comput. Methods Appl. Mech. Eng. 304, 171-196 (2016). MSC: 62N05 62F15 62N01 62P30 PDFBibTeX XMLCite \textit{I. Babuška} et al., Comput. Methods Appl. Mech. Eng. 304, 171--196 (2016; Zbl 1426.62295) Full Text: DOI arXiv
Franck, Isabell M.; Koutsourelakis, P. S. Sparse variational Bayesian approximations for nonlinear inverse problems: applications in nonlinear elastography. (English) Zbl 1425.65132 Comput. Methods Appl. Mech. Eng. 299, 215-244 (2016). MSC: 65N21 62F15 65C50 74L15 PDFBibTeX XMLCite \textit{I. M. Franck} and \textit{P. S. Koutsourelakis}, Comput. Methods Appl. Mech. Eng. 299, 215--244 (2016; Zbl 1425.65132) Full Text: DOI arXiv
Long, Quan; Scavino, Marco; Tempone, Raúl; Wang, Suojin A Laplace method for under-determined Bayesian optimal experimental designs. (English) Zbl 1426.62221 Comput. Methods Appl. Mech. Eng. 285, 849-876 (2015). MSC: 62K05 62-08 62F15 62B10 65N21 PDFBibTeX XMLCite \textit{Q. Long} et al., Comput. Methods Appl. Mech. Eng. 285, 849--876 (2015; Zbl 1426.62221) Full Text: DOI Link
Hadjidoukas, P. E.; Angelikopoulos, P.; Rossinelli, D.; Alexeev, D.; Papadimitriou, C.; Koumoutsakos, P. Bayesian uncertainty quantification and propagation for discrete element simulations of granular materials. (English) Zbl 1423.74956 Comput. Methods Appl. Mech. Eng. 282, 218-238 (2014). MSC: 74S30 76M25 62F15 62P35 74E20 76T25 PDFBibTeX XMLCite \textit{P. E. Hadjidoukas} et al., Comput. Methods Appl. Mech. Eng. 282, 218--238 (2014; Zbl 1423.74956) Full Text: DOI
Jensen, H. A.; Millas, E.; Kusanovic, D.; Papadimitriou, C. Model-reduction techniques for Bayesian finite element model updating using dynamic response data. (English) Zbl 1423.74893 Comput. Methods Appl. Mech. Eng. 279, 301-324 (2014). MSC: 74S05 65N30 90B25 62F15 PDFBibTeX XMLCite \textit{H. A. Jensen} et al., Comput. Methods Appl. Mech. Eng. 279, 301--324 (2014; Zbl 1423.74893) Full Text: DOI Link
Kundu, A.; DiazDelaO, F. A.; Adhikari, S.; Friswell, M. I. A hybrid spectral and metamodeling approach for the stochastic finite element analysis of structural dynamic systems. (English) Zbl 1296.74118 Comput. Methods Appl. Mech. Eng. 270, 201-219 (2014). MSC: 74S05 74A40 74S60 65M70 65M75 PDFBibTeX XMLCite \textit{A. Kundu} et al., Comput. Methods Appl. Mech. Eng. 270, 201--219 (2014; Zbl 1296.74118) Full Text: DOI
Reed, H. M.; Earls, C. J.; Nichols, J. M. Stochastic identification of imperfections in a submerged shell structure. (English) Zbl 1296.74027 Comput. Methods Appl. Mech. Eng. 272, 58-82 (2014). MSC: 74F10 74K25 74S60 60J22 62F15 74G75 PDFBibTeX XMLCite \textit{H. M. Reed} et al., Comput. Methods Appl. Mech. Eng. 272, 58--82 (2014; Zbl 1296.74027) Full Text: DOI
Jensen, H. A.; Vergara, C.; Papadimitriou, Costas; Millas, E. The use of updated robust reliability measures in stochastic dynamical systems. (English) Zbl 1286.62086 Comput. Methods Appl. Mech. Eng. 267, 293-317 (2013). MSC: 62N05 62F15 90B25 74P99 PDFBibTeX XMLCite \textit{H. A. Jensen} et al., Comput. Methods Appl. Mech. Eng. 267, 293--317 (2013; Zbl 1286.62086) Full Text: DOI Link
Long, Quan; Scavino, Marco; Tempone, Raúl; Wang, Suojin Fast estimation of expected information gains for Bayesian experimental designs based on Laplace approximations. (English) Zbl 1286.62068 Comput. Methods Appl. Mech. Eng. 259, 24-39 (2013). MSC: 62K05 65N21 65C60 62F15 65C20 PDFBibTeX XMLCite \textit{Q. Long} et al., Comput. Methods Appl. Mech. Eng. 259, 24--39 (2013; Zbl 1286.62068) Full Text: DOI
Elsheikh, Ahmed H.; Tavakoli, Reza; Wheeler, Mary F.; Hoteit, Ibrahim Boosting iterative stochastic ensemble method for nonlinear calibration of subsurface flow models. (English) Zbl 1286.62079 Comput. Methods Appl. Mech. Eng. 259, 10-23 (2013). MSC: 62M20 62F15 65C20 86A04 PDFBibTeX XMLCite \textit{A. H. Elsheikh} et al., Comput. Methods Appl. Mech. Eng. 259, 10--23 (2013; Zbl 1286.62079) Full Text: DOI
Boyaval, Sébastien A fast Monte-Carlo method with a reduced basis of control variates applied to uncertainty propagation and Bayesian estimation. (English) Zbl 1354.65010 Comput. Methods Appl. Mech. Eng. 241-244, 190-205 (2012). MSC: 65C05 60H15 35R60 62F15 PDFBibTeX XMLCite \textit{S. Boyaval}, Comput. Methods Appl. Mech. Eng. 241--244, 190--205 (2012; Zbl 1354.65010) Full Text: DOI arXiv
Soize, C. A computational inverse method for identification of non-Gaussian random fields using the Bayesian approach in very high dimension. (English) Zbl 1230.74241 Comput. Methods Appl. Mech. Eng. 200, No. 45-46, 3083-3099 (2011). MSC: 74S60 74G75 65C20 PDFBibTeX XMLCite \textit{C. Soize}, Comput. Methods Appl. Mech. Eng. 200, No. 45--46, 3083--3099 (2011; Zbl 1230.74241) Full Text: DOI Link
Xiong, Ying; Chen, Wei; Tsui, Kwok-Leung; Apley, Daniel W. A better understanding of model updating strategies in validating engineering models. (English) Zbl 1227.74128 Comput. Methods Appl. Mech. Eng. 198, No. 15-16, 1327-1337 (2009). MSC: 74S99 74F05 80M99 80A20 PDFBibTeX XMLCite \textit{Y. Xiong} et al., Comput. Methods Appl. Mech. Eng. 198, No. 15--16, 1327--1337 (2009; Zbl 1227.74128) Full Text: DOI
Koutsourelakis, P. S. Design of complex systems in the presence of large uncertainties: a statistical approach. (English) Zbl 1194.74549 Comput. Methods Appl. Mech. Eng. 197, No. 49-50, 4092-4103 (2008). MSC: 74S60 74K99 PDFBibTeX XMLCite \textit{P. S. Koutsourelakis}, Comput. Methods Appl. Mech. Eng. 197, No. 49--50, 4092--4103 (2008; Zbl 1194.74549) Full Text: DOI Link
Grigoriu, M. D.; Field, R. V. jun. A solution to the static frame validation challenge problem using Bayesian model selection. (English) Zbl 1142.74052 Comput. Methods Appl. Mech. Eng. 197, No. 29-32, 2540-2549 (2008). MSC: 74S99 74E35 74K99 74H15 PDFBibTeX XMLCite \textit{M. D. Grigoriu} and \textit{R. V. Field jun.}, Comput. Methods Appl. Mech. Eng. 197, No. 29--32, 2540--2549 (2008; Zbl 1142.74052) Full Text: DOI Link
Liu, F.; Bayarri, M. J.; Berger, J. O.; Paulo, R.; Sacks, J. A Bayesian analysis of the thermal challenge problem. (English) Zbl 1388.80006 Comput. Methods Appl. Mech. Eng. 197, No. 29-32, 2457-2466 (2008). MSC: 80M25 62P35 80-04 PDFBibTeX XMLCite \textit{F. Liu} et al., Comput. Methods Appl. Mech. Eng. 197, No. 29--32, 2457--2466 (2008; Zbl 1388.80006) Full Text: DOI