Feng, De-Cheng; Chen, Shi-Zhi; Taciroglu, Ertugrul Deep learning-enhanced efficient seismic analysis of structures with multi-fidelity modeling strategies. (English) Zbl 07824873 Comput. Methods Appl. Mech. Eng. 421, Article ID 116775, 22 p. (2024). MSC: 86-XX 92-XX PDFBibTeX XMLCite \textit{D.-C. Feng} et al., Comput. Methods Appl. Mech. Eng. 421, Article ID 116775, 22 p. (2024; Zbl 07824873) Full Text: DOI
Xu, Yongchun; Yang, Jie; Kuang, Zengtao; Huang, Qun; Huang, Wei; Hu, Heng Quantum computing enhanced distance-minimizing data-driven computational mechanics. (English) Zbl 07796695 Comput. Methods Appl. Mech. Eng. 419, Article ID 116675, 14 p. (2024). MSC: 81-XX 68-XX PDFBibTeX XMLCite \textit{Y. Xu} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116675, 14 p. (2024; Zbl 07796695) Full Text: DOI arXiv
Pandolfi, A.; Stainier, L.; Ortiz, M. An optimal-transport finite-particle method for mass diffusion. (English) Zbl 07761344 Comput. Methods Appl. Mech. Eng. 416, Article ID 116385, 17 p. (2023). MSC: 82-XX 76-XX PDFBibTeX XMLCite \textit{A. Pandolfi} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116385, 17 p. (2023; Zbl 07761344) Full Text: DOI arXiv
Winter, J. M.; Abaidi, R.; Kaiser, J. W. J.; Adami, S.; Adams, N. A. Multi-fidelity Bayesian optimization to solve the inverse Stefan problem. (English) Zbl 07737563 Comput. Methods Appl. Mech. Eng. 410, Article ID 115946, 22 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{J. M. Winter} et al., Comput. Methods Appl. Mech. Eng. 410, Article ID 115946, 22 p. (2023; Zbl 07737563) Full Text: DOI
Kiyani, Elham; Shukla, Khemraj; Karniadakis, George Em; Karttunen, Mikko A framework based on symbolic regression coupled with eXtended physics-informed neural networks for gray-box learning of equations of motion from data. (English) Zbl 07736350 Comput. Methods Appl. Mech. Eng. 415, Article ID 116258, 21 p. (2023). MSC: 68-XX 86-XX PDFBibTeX XMLCite \textit{E. Kiyani} et al., Comput. Methods Appl. Mech. Eng. 415, Article ID 116258, 21 p. (2023; Zbl 07736350) Full Text: DOI arXiv
Zhu, Min; Zhang, Handi; Jiao, Anran; Karniadakis, George Em; Lu, Lu Reliable extrapolation of deep neural operators informed by physics or sparse observations. (English) Zbl 07692973 Comput. Methods Appl. Mech. Eng. 412, Article ID 116064, 36 p. (2023). MSC: 68-XX 92-XX PDFBibTeX XMLCite \textit{M. Zhu} et al., Comput. Methods Appl. Mech. Eng. 412, Article ID 116064, 36 p. (2023; Zbl 07692973) Full Text: DOI arXiv
Flaschel, Moritz; Kumar, Siddhant; De Lorenzis, Laura Automated discovery of generalized standard material models with EUCLID. (English) Zbl 07653067 Comput. Methods Appl. Mech. Eng. 405, Article ID 115867, 26 p. (2023). MSC: 74-XX 92-XX PDFBibTeX XMLCite \textit{M. Flaschel} et al., Comput. Methods Appl. Mech. Eng. 405, Article ID 115867, 26 p. (2023; Zbl 07653067) Full Text: DOI arXiv
Zeng, Xiaoshu; Ghanem, Roger Projection pursuit adaptation on polynomial chaos expansions. (English) Zbl 07653047 Comput. Methods Appl. Mech. Eng. 405, Article ID 115845, 27 p. (2023). MSC: 65-XX 62-XX PDFBibTeX XMLCite \textit{X. Zeng} and \textit{R. Ghanem}, Comput. Methods Appl. Mech. Eng. 405, Article ID 115845, 27 p. (2023; Zbl 07653047) Full Text: DOI arXiv
Ntetsika, Magdalini; Papadopoulos, Panayiotis Numerical simulation and predictive modeling of an inextensible filament in two-dimensional viscous shear flow using the immersed boundary/coarse-graining method and artificial neural networks. (English) Zbl 1507.74133 Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115589, 18 p. (2022). MSC: 74F10 74-10 PDFBibTeX XMLCite \textit{M. Ntetsika} and \textit{P. Papadopoulos}, Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115589, 18 p. (2022; Zbl 1507.74133) Full Text: DOI
Xie, Xiang; Wang, Wei; He, Kai; Li, Guanglin Fast model order reduction boundary element method for large-scale acoustic systems involving surface impedance. (English) Zbl 1507.76145 Comput. Methods Appl. Mech. Eng. 400, Article ID 115618, 17 p. (2022). MSC: 76M15 65N38 76Q05 PDFBibTeX XMLCite \textit{X. Xie} et al., Comput. Methods Appl. Mech. Eng. 400, Article ID 115618, 17 p. (2022; Zbl 1507.76145) Full Text: DOI
Winter, J. M.; Kaiser, J. W. J.; Adami, S.; Akhatov, I. S.; Adams, N. A. Stochastic multi-fidelity surrogate modeling of dendritic crystal growth. (English) Zbl 1507.74262 Comput. Methods Appl. Mech. Eng. 393, Article ID 114799, 19 p. (2022). MSC: 74N05 74S60 PDFBibTeX XMLCite \textit{J. M. Winter} et al., Comput. Methods Appl. Mech. Eng. 393, Article ID 114799, 19 p. (2022; Zbl 1507.74262) Full Text: DOI
Bhamidipati, Vikram; Kallivokas, Loukas F.; Rodin, Gregory J. The inverse problem for conducting defective lattices. (English) Zbl 1507.74154 Comput. Methods Appl. Mech. Eng. 393, Article ID 114788, 17 p. (2022). MSC: 74G75 PDFBibTeX XMLCite \textit{V. Bhamidipati} et al., Comput. Methods Appl. Mech. Eng. 393, Article ID 114788, 17 p. (2022; Zbl 1507.74154) Full Text: DOI
Guo, Mengwu; Manzoni, Andrea; Amendt, Maurice; Conti, Paolo; Hesthaven, Jan S. Multi-fidelity regression using artificial neural networks: efficient approximation of parameter-dependent output quantities. (English) Zbl 1507.65184 Comput. Methods Appl. Mech. Eng. 389, Article ID 114378, 25 p. (2022). MSC: 65M60 65D07 65D12 68T07 92B20 PDFBibTeX XMLCite \textit{M. Guo} et al., Comput. Methods Appl. Mech. Eng. 389, Article ID 114378, 25 p. (2022; Zbl 1507.65184) Full Text: DOI arXiv
Hoang, Chi; Chowdhary, Kenny; Lee, Kookjin; Ray, Jaideep Projection-based model reduction of dynamical systems using space-time subspace and machine learning. (English) Zbl 1507.65292 Comput. Methods Appl. Mech. Eng. 389, Article ID 114341, 34 p. (2022). MSC: 65P99 37M10 68T05 PDFBibTeX XMLCite \textit{C. Hoang} et al., Comput. Methods Appl. Mech. Eng. 389, Article ID 114341, 34 p. (2022; Zbl 1507.65292) Full Text: DOI arXiv
Mattis, S. A.; Steffen, K. R.; Butler, T.; Dawson, C. N.; Estep, D. Learning quantities of interest from dynamical systems for observation-consistent inversion. (English) Zbl 1507.62289 Comput. Methods Appl. Mech. Eng. 388, Article ID 114230, 30 p. (2022). MSC: 62M10 37M10 65C20 65P99 PDFBibTeX XMLCite \textit{S. A. Mattis} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114230, 30 p. (2022; Zbl 1507.62289) Full Text: DOI arXiv
Lykkegaard, Mikkel B.; Dodwell, Tim J.; Moxey, David Accelerating uncertainty quantification of groundwater flow modelling using a deep neural network proxy. (English) Zbl 1506.76170 Comput. Methods Appl. Mech. Eng. 383, Article ID 113895, 25 p. (2021). MSC: 76S05 65C20 68T07 PDFBibTeX XMLCite \textit{M. B. Lykkegaard} et al., Comput. Methods Appl. Mech. Eng. 383, Article ID 113895, 25 p. (2021; Zbl 1506.76170) Full Text: DOI arXiv
Bahmani, Bahador; Sun, WaiChing A kd-tree-accelerated hybrid data-driven/model-based approach for poroelasticity problems with multi-fidelity multi-physics data. (English) Zbl 1506.74001 Comput. Methods Appl. Mech. Eng. 382, Article ID 113868, 44 p. (2021). MSC: 74-10 74F10 PDFBibTeX XMLCite \textit{B. Bahmani} and \textit{W. Sun}, Comput. Methods Appl. Mech. Eng. 382, Article ID 113868, 44 p. (2021; Zbl 1506.74001) Full Text: DOI DOI arXiv
Eggersmann, Robert; Stainier, Laurent; Ortiz, Michael; Reese, Stefanie Efficient data structures for model-free data-driven computational mechanics. (English) Zbl 1506.74002 Comput. Methods Appl. Mech. Eng. 382, Article ID 113855, 19 p. (2021). MSC: 74-10 74S05 65N30 PDFBibTeX XMLCite \textit{R. Eggersmann} et al., Comput. Methods Appl. Mech. Eng. 382, Article ID 113855, 19 p. (2021; Zbl 1506.74002) Full Text: DOI arXiv Link
Flaschel, Moritz; Kumar, Siddhant; De Lorenzis, Laura Unsupervised discovery of interpretable hyperelastic constitutive laws. (English) Zbl 1506.74051 Comput. Methods Appl. Mech. Eng. 381, Article ID 113852, 19 p. (2021). MSC: 74B20 65N21 68T05 74A20 PDFBibTeX XMLCite \textit{M. Flaschel} et al., Comput. Methods Appl. Mech. Eng. 381, Article ID 113852, 19 p. (2021; Zbl 1506.74051) Full Text: DOI arXiv
Xiao, Guizhong; Wen, Longfei; Tian, Rong Arbitrary 3D crack propagation with improved XFEM: accurate and efficient crack geometries. (English) Zbl 1506.74371 Comput. Methods Appl. Mech. Eng. 377, Article ID 113659, 32 p. (2021). MSC: 74R10 74S05 65N30 PDFBibTeX XMLCite \textit{G. Xiao} et al., Comput. Methods Appl. Mech. Eng. 377, Article ID 113659, 32 p. (2021; Zbl 1506.74371) Full Text: DOI
Zhou, Yicheng; Lu, Zhenzhou; Hu, Jinghan; Hu, Yingshi Surrogate modeling of high-dimensional problems via data-driven polynomial chaos expansions and sparse partial least square. (English) Zbl 1442.65437 Comput. Methods Appl. Mech. Eng. 364, Article ID 112906, 25 p. (2020). MSC: 65N75 35R60 60G60 62G08 62J05 60-08 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Comput. Methods Appl. Mech. Eng. 364, Article ID 112906, 25 p. (2020; Zbl 1442.65437) Full Text: DOI
Lejeune, Emma; Linder, Christian Interpreting stochastic agent-based models of cell death. (English) Zbl 1441.92015 Comput. Methods Appl. Mech. Eng. 360, Article ID 112700, 21 p. (2020). MSC: 92C37 62P10 PDFBibTeX XMLCite \textit{E. Lejeune} and \textit{C. Linder}, Comput. Methods Appl. Mech. Eng. 360, Article ID 112700, 21 p. (2020; Zbl 1441.92015) Full Text: DOI
He, Qizhi; Chen, Jiun-Shyan A physics-constrained data-driven approach based on locally convex reconstruction for noisy database. (English) Zbl 1436.62725 Comput. Methods Appl. Mech. Eng. 363, Article ID 112791, 29 p. (2020). MSC: 62R30 62-08 PDFBibTeX XMLCite \textit{Q. He} and \textit{J.-S. Chen}, Comput. Methods Appl. Mech. Eng. 363, Article ID 112791, 29 p. (2020; Zbl 1436.62725) Full Text: DOI arXiv
Wang, Z.; Huan, X.; Garikipati, K. Variational system identification of the partial differential equations governing the physics of pattern-formation: inference under varying fidelity and noise. (English) Zbl 1441.65071 Comput. Methods Appl. Mech. Eng. 356, 44-74 (2019). MSC: 65M06 PDFBibTeX XMLCite \textit{Z. Wang} et al., Comput. Methods Appl. Mech. Eng. 356, 44--74 (2019; Zbl 1441.65071) Full Text: DOI arXiv
Beel, Andrew; Kim, Tae-Yeon; Jiang, Wen; Song, Jeong-Hoon Strong form-based meshfree collocation method for wind-driven ocean circulation. (English) Zbl 1441.86006 Comput. Methods Appl. Mech. Eng. 351, 404-421 (2019). MSC: 86A05 65N35 86-08 PDFBibTeX XMLCite \textit{A. Beel} et al., Comput. Methods Appl. Mech. Eng. 351, 404--421 (2019; Zbl 1441.86006) Full Text: DOI
Wang, Yuepeng; Ren, Lanlan; Zhang, Zongyuan; Lin, Guang; Xu, Chao Sparsity-promoting elastic net method with rotations for high-dimensional nonlinear inverse problem. (English) Zbl 1440.65065 Comput. Methods Appl. Mech. Eng. 345, 263-282 (2019). MSC: 65K05 90C90 PDFBibTeX XMLCite \textit{Y. Wang} et al., Comput. Methods Appl. Mech. Eng. 345, 263--282 (2019; Zbl 1440.65065) Full Text: DOI
Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method. (English) Zbl 1440.92003 Comput. Methods Appl. Mech. Eng. 340, 530-558 (2018). MSC: 92-08 65M60 92C30 PDFBibTeX XMLCite \textit{S. Pagani} et al., Comput. Methods Appl. Mech. Eng. 340, 530--558 (2018; Zbl 1440.92003) Full Text: DOI Link
Constantine, Paul G.; Eftekhari, Armin; Hokanson, Jeffrey; Ward, Rachel A. A near-stationary subspace for ridge approximation. (English) Zbl 1439.65023 Comput. Methods Appl. Mech. Eng. 326, 402-421 (2017). MSC: 65D10 PDFBibTeX XMLCite \textit{P. G. Constantine} et al., Comput. Methods Appl. Mech. Eng. 326, 402--421 (2017; Zbl 1439.65023) Full Text: DOI arXiv
Peherstorfer, Benjamin; Cui, Tiangang; Marzouk, Youssef; Willcox, Karen Multifidelity importance sampling. (English) Zbl 1426.62087 Comput. Methods Appl. Mech. Eng. 300, 490-509 (2016). MSC: 62F10 65C05 PDFBibTeX XMLCite \textit{B. Peherstorfer} et al., Comput. Methods Appl. Mech. Eng. 300, 490--509 (2016; Zbl 1426.62087) Full Text: DOI
Aragón, Alejandro M.; Molinari, Jean-François A hierarchical detection framework for computational contact mechanics. (English) Zbl 1295.74097 Comput. Methods Appl. Mech. Eng. 268, 574-588 (2014). MSC: 74S05 74M15 PDFBibTeX XMLCite \textit{A. M. Aragón} and \textit{J.-F. Molinari}, Comput. Methods Appl. Mech. Eng. 268, 574--588 (2014; Zbl 1295.74097) 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
Wang, Hu; Li, G. Y.; Li, Enying Time-based metamodeling technique for vehicle crashworthiness optimization. (English) Zbl 1231.74356 Comput. Methods Appl. Mech. Eng. 199, No. 37-40, 2497-2509 (2010). MSC: 74P10 74M20 PDFBibTeX XMLCite \textit{H. Wang} et al., Comput. Methods Appl. Mech. Eng. 199, No. 37--40, 2497--2509 (2010; Zbl 1231.74356) Full Text: DOI
Lucor, D.; Enaux, C.; Jourdren, H.; Sagaut, P. Stochastic design optimization: application to reacting flows. (English) Zbl 1173.76403 Comput. Methods Appl. Mech. Eng. 196, No. 49-52, 5047-5062 (2007). MSC: 76N25 76V05 76M35 PDFBibTeX XMLCite \textit{D. Lucor} et al., Comput. Methods Appl. Mech. Eng. 196, No. 49--52, 5047--5062 (2007; Zbl 1173.76403) Full Text: DOI
Helton, J. C.; Johnson, J. D.; Oberkampf, W. L.; Storlie, C. B. A sampling-based computational strategy for the representation of epistemic uncertainty in model predictions with evidence theory. (English) Zbl 1173.62301 Comput. Methods Appl. Mech. Eng. 196, No. 37-40, 3980-3998 (2007). MSC: 62A01 65C60 PDFBibTeX XMLCite \textit{J. C. Helton} et al., Comput. Methods Appl. Mech. Eng. 196, No. 37--40, 3980--3998 (2007; Zbl 1173.62301) Full Text: DOI Link