Li, Xiaohan; Polydorides, Nick Fast heat transfer simulation for laser powder bed fusion. (English) Zbl 07692998 Comput. Methods Appl. Mech. Eng. 412, Article ID 116107, 21 p. (2023). MSC: 78-XX 76-XX PDFBibTeX XMLCite \textit{X. Li} and \textit{N. Polydorides}, Comput. Methods Appl. Mech. Eng. 412, Article ID 116107, 21 p. (2023; Zbl 07692998) Full Text: DOI
Muñoz, D.; Allix, O.; Chinesta, F.; Ródenas, J. J.; Nadal, E. Manifold learning for coherent design interpolation based on geometrical and topological descriptors. (English) Zbl 07653060 Comput. Methods Appl. Mech. Eng. 405, Article ID 115859, 19 p. (2023). MSC: 68-XX 90-XX PDFBibTeX XMLCite \textit{D. Muñoz} et al., Comput. Methods Appl. Mech. Eng. 405, Article ID 115859, 19 p. (2023; Zbl 07653060) Full Text: DOI
Serani, Andrea; Diez, Matteo Parametric model embedding. (English) Zbl 07644849 Comput. Methods Appl. Mech. Eng. 404, Article ID 115776, 19 p. (2023). MSC: 74-XX 68-XX PDFBibTeX XMLCite \textit{A. Serani} and \textit{M. Diez}, Comput. Methods Appl. Mech. Eng. 404, Article ID 115776, 19 p. (2023; Zbl 07644849) Full Text: DOI arXiv
Hu, C.; Martin, S.; Dingreville, R. Accelerating phase-field predictions via recurrent neural networks learning the microstructure evolution in latent space. (English) Zbl 1507.74257 Comput. Methods Appl. Mech. Eng. 397, Article ID 115128, 22 p. (2022). MSC: 74M25 PDFBibTeX XMLCite \textit{C. Hu} et al., Comput. Methods Appl. Mech. Eng. 397, Article ID 115128, 22 p. (2022; Zbl 1507.74257) Full Text: DOI
Gruber, Anthony; Gunzburger, Max; Ju, Lili; Wang, Zhu A comparison of neural network architectures for data-driven reduced-order modeling. (English) Zbl 1507.65157 Comput. Methods Appl. Mech. Eng. 393, Article ID 114764, 26 p. (2022). MSC: 65M22 65M60 PDFBibTeX XMLCite \textit{A. Gruber} et al., Comput. Methods Appl. Mech. Eng. 393, Article ID 114764, 26 p. (2022; Zbl 1507.65157) Full Text: DOI arXiv
Wu, Ling; Noels, Ludovic Recurrent neural networks (RNNs) with dimensionality reduction and break down in computational mechanics; application to multi-scale localization step. (English) Zbl 1507.68278 Comput. Methods Appl. Mech. Eng. 390, Article ID 114476, 36 p. (2022). MSC: 68T07 65N99 PDFBibTeX XMLCite \textit{L. Wu} and \textit{L. Noels}, Comput. Methods Appl. Mech. Eng. 390, Article ID 114476, 36 p. (2022; Zbl 1507.68278) Full Text: DOI arXiv
Fresca, Stefania; Manzoni, Andrea POD-DL-ROM: enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition. (English) Zbl 1507.65181 Comput. Methods Appl. Mech. Eng. 388, Article ID 114181, 27 p. (2022). MSC: 65M60 65M99 PDFBibTeX XMLCite \textit{S. Fresca} and \textit{A. Manzoni}, Comput. Methods Appl. Mech. Eng. 388, Article ID 114181, 27 p. (2022; Zbl 1507.65181) Full Text: DOI arXiv
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
van Tuijl, Rody A.; Remmers, Joris J. C.; Geers, Marc G. D. Multi-dimensional wavelet reduction for the homogenisation of microstructures. (English) Zbl 1441.74308 Comput. Methods Appl. Mech. Eng. 359, Article ID 112652, 26 p. (2020). MSC: 74S99 65T60 74Q05 74M25 PDFBibTeX XMLCite \textit{R. A. van Tuijl} et al., Comput. Methods Appl. Mech. Eng. 359, Article ID 112652, 26 p. (2020; Zbl 1441.74308) Full Text: DOI
Amiri, Fatemeh; Ziaei-Rad, Saeed; Valizadeh, Navid; Rabczuk, Timon On the use of local maximum entropy approximants for Cahn-Hilliard phase-field models in 2D domains and on surfaces. (English) Zbl 1440.74370 Comput. Methods Appl. Mech. Eng. 346, 1-24 (2019). MSC: 74S05 65M60 74N20 PDFBibTeX XMLCite \textit{F. Amiri} et al., Comput. Methods Appl. Mech. Eng. 346, 1--24 (2019; Zbl 1440.74370) Full Text: DOI
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
Sraj, Ihab; Le Maître, Olivier P.; Knio, Omar M.; Hoteit, Ibrahim Coordinate transformation and polynomial chaos for the Bayesian inference of a Gaussian process with parametrized prior covariance function. (English) Zbl 1426.62096 Comput. Methods Appl. Mech. Eng. 298, 205-228 (2016). MSC: 62F15 60G15 62H25 PDFBibTeX XMLCite \textit{I. Sraj} et al., Comput. Methods Appl. Mech. Eng. 298, 205--228 (2016; Zbl 1426.62096) Full Text: DOI arXiv
Diez, Matteo; Campana, Emilio F.; Stern, Frederick Design-space dimensionality reduction in shape optimization by Karhunen-Loève expansion. (English) Zbl 1423.74743 Comput. Methods Appl. Mech. Eng. 283, 1525-1544 (2015). MSC: 74P15 PDFBibTeX XMLCite \textit{M. Diez} et al., Comput. Methods Appl. Mech. Eng. 283, 1525--1544 (2015; Zbl 1423.74743) Full Text: DOI
Millán, Daniel; Arroyo, Marino Nonlinear manifold learning for model reduction in finite elastodynamics. (English) Zbl 1286.74021 Comput. Methods Appl. Mech. Eng. 261-262, 118-131 (2013). MSC: 74B20 PDFBibTeX XMLCite \textit{D. Millán} and \textit{M. Arroyo}, Comput. Methods Appl. Mech. Eng. 261--262, 118--131 (2013; Zbl 1286.74021) Full Text: DOI Link