Kapadia, Harshit; Feng, Lihong; Benner, Peter Active-learning-driven surrogate modeling for efficient simulation of parametric nonlinear systems. (English) Zbl 07796680 Comput. Methods Appl. Mech. Eng. 419, Article ID 116657, 36 p. (2024). MSC: 76-XX 92-XX PDFBibTeX XMLCite \textit{H. Kapadia} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116657, 36 p. (2024; Zbl 07796680) Full Text: DOI arXiv
Cicci, Ludovica; Fresca, Stefania; Guo, Mengwu; Manzoni, Andrea; Zunino, Paolo Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression. (English) Zbl 07750303 Comput. Math. Appl. 149, 1-23 (2023). MSC: 65M60 65N30 68T05 68T07 65M99 PDFBibTeX XMLCite \textit{L. Cicci} et al., Comput. Math. Appl. 149, 1--23 (2023; Zbl 07750303) Full Text: DOI arXiv
He, Xiao-Feng; Li, Liang; Lanteri, Stéphane; Li, Kun Model order reduction for parameterized electromagnetic problems using matrix decomposition and deep neural networks. (English) Zbl 07733949 J. Comput. Appl. Math. 431, Article ID 115271, 24 p. (2023). MSC: 65Mxx 78Mxx 65Nxx PDFBibTeX XMLCite \textit{X.-F. He} et al., J. Comput. Appl. Math. 431, Article ID 115271, 24 p. (2023; Zbl 07733949) Full Text: DOI arXiv
Chen, Yuanhong; Sun, Xiang; Lin, Yifan; Gao, Zhen An adaptive non-intrusive multi-fidelity reduced basis method for parameterized partial differential equations. (English) Zbl 1514.65125 East Asian J. Appl. Math. 13, No. 2, 398-419 (2023). MSC: 65M60 35A24 78A48 PDFBibTeX XMLCite \textit{Y. Chen} et al., East Asian J. Appl. Math. 13, No. 2, 398--419 (2023; Zbl 1514.65125) Full Text: DOI
Akbari, Saeed; Dabaghian, Pedram H.; San, Omer Blending machine learning and sequential data assimilation over latent spaces for surrogate modeling of Boussinesq systems. (English) Zbl 07683345 Physica D 448, Article ID 133711, 17 p. (2023). MSC: 68Txx PDFBibTeX XMLCite \textit{S. Akbari} et al., Physica D 448, Article ID 133711, 17 p. (2023; Zbl 07683345) Full Text: DOI
Silva, Vinicius L. S.; Heaney, Claire E.; Li, Yaqi; Pain, Christopher C. Data assimilation predictive GAN (DA-PredGAN) applied to a spatio-temporal compartmental model in epidemiology. (English) Zbl 1510.68090 J. Sci. Comput. 94, No. 1, Paper No. 25, 31 p. (2023); correction ibid. 95, No. 2, Paper No. 47, 2 p. (2023). MSC: 68T05 68T07 92D30 PDFBibTeX XMLCite \textit{V. L. S. Silva} et al., J. Sci. Comput. 94, No. 1, Paper No. 25, 31 p. (2023; Zbl 1510.68090) Full Text: DOI arXiv
Introini, Carolina; Cavalleri, Simone; Lorenzi, Stefano; Riva, Stefano; Cammi, Antonio Stabilization of generalized empirical interpolation method (GEIM) in presence of noise: a novel approach based on Tikhonov regularization. (English) Zbl 07644846 Comput. Methods Appl. Mech. Eng. 404, Article ID 115773, 37 p. (2023). MSC: 92-XX 93-XX PDFBibTeX XMLCite \textit{C. Introini} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115773, 37 p. (2023; Zbl 07644846) Full Text: DOI
Fu, Jinlong; Xiao, Dunhui; Fu, Rui; Li, Chenfeng; Zhu, Chuanhua; Arcucci, Rossella; Navon, Ionel M. Physics-data combined machine learning for parametric reduced-order modelling of nonlinear dynamical systems in small-data regimes. (English) Zbl 07644844 Comput. Methods Appl. Mech. Eng. 404, Article ID 115771, 49 p. (2023). MSC: 68-XX 65-XX PDFBibTeX XMLCite \textit{J. Fu} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115771, 49 p. (2023; Zbl 07644844) Full Text: DOI
Li, Kun; Huang, Ting-Zhu; Li, Liang; Zhao, Ying; Lanteri, Stéphane A non-intrusive model order reduction approach for parameterized time-domain Maxwell’s equations. (English) Zbl 1498.78046 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 449-473 (2023). MSC: 78M34 78M10 65M60 65M99 65F20 78A25 60G15 62F15 35Q60 PDFBibTeX XMLCite \textit{K. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 449--473 (2023; Zbl 1498.78046) Full Text: DOI
Cheng, Fangxiong; Xu, Hui; Feng, Xinlong Model order reduction method based on (r)POD-ANNs for parameterized time-dependent partial differential equations. (English) Zbl 1521.65112 Comput. Fluids 241, Article ID 105481, 13 p. (2022). MSC: 65M99 68T07 PDFBibTeX XMLCite \textit{F. Cheng} et al., Comput. Fluids 241, Article ID 105481, 13 p. (2022; Zbl 1521.65112) Full Text: DOI
Wang, Chen; Qi, Zheng; Zheng, Yu; Duan, Huishen; Chen, Anhong; Du, Fan; Xu, Jiakuan; Li, Guoshu; Xia, Qiang Greedy non-intrusive reduced-order model’s application in dynamic blowing and suction flow control to suppress the flow separation. (English) Zbl 1521.76125 Comput. Fluids 237, Article ID 105337, 10 p. (2022). MSC: 76D55 76G25 76M99 PDFBibTeX XMLCite \textit{C. Wang} et al., Comput. Fluids 237, Article ID 105337, 10 p. (2022; Zbl 1521.76125) Full Text: DOI
Dutta, Sourav; Farthing, Matthew W.; Perracchione, Emma; Savant, Gaurav; Putti, Mario A greedy non-intrusive reduced order model for shallow water equations. (English) Zbl 07512322 J. Comput. Phys. 439, Article ID 110378, 30 p. (2021). MSC: 41Axx 65Dxx 76Mxx PDFBibTeX XMLCite \textit{S. Dutta} et al., J. Comput. Phys. 439, Article ID 110378, 30 p. (2021; Zbl 07512322) Full Text: DOI arXiv
Oulghelou, M.; Allery, C. Non intrusive method for parametric model order reduction using a bi-calibrated interpolation on the Grassmann manifold. (English) Zbl 07510048 J. Comput. Phys. 426, Article ID 109924, 16 p. (2021). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{M. Oulghelou} and \textit{C. Allery}, J. Comput. Phys. 426, Article ID 109924, 16 p. (2021; Zbl 07510048) Full Text: DOI arXiv
Li, Teng; Deng, Shiyuan; Zhang, Kun; Wei, Haibo; Wang, Runlong; Fan, Jun; Xin, Jianqiang; Yao, Jianyao A nonintrusive parametrized reduced-order model for periodic flows based on extended proper orthogonal decomposition. (English) Zbl 07446702 Int. J. Comput. Methods 18, No. 9, Article ID 2150035, 33 p. (2021). MSC: 76-XX 37-XX PDFBibTeX XMLCite \textit{T. Li} et al., Int. J. Comput. Methods 18, No. 9, Article ID 2150035, 33 p. (2021; Zbl 07446702) Full Text: DOI
Tiso, Paolo; Mahdiabadi, Morteza Karamooz; Marconi, Jacopo Modal methods for reduced order modeling. (English) Zbl 1484.74026 Benner, Peter (ed.) et al., Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 97-138 (2021). MSC: 74H15 74H45 74S05 PDFBibTeX XMLCite \textit{P. Tiso} et al., in: Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 97--138 (2021; Zbl 1484.74026) Full Text: DOI
Lee, SiHun; Jang, Kijoo; Cho, Haeseong; Kim, Haedong; Shin, SangJoon Parametric non-intrusive model order reduction for flow-fields using unsupervised machine learning. (English) Zbl 1507.76113 Comput. Methods Appl. Mech. Eng. 384, Article ID 113999, 24 p. (2021). MSC: 76M10 65Z05 76M22 PDFBibTeX XMLCite \textit{S. Lee} et al., Comput. Methods Appl. Mech. Eng. 384, Article ID 113999, 24 p. (2021; Zbl 1507.76113) Full Text: DOI
Kalogeris, Ioannis; Papadopoulos, Vissarion Diffusion maps-aided neural networks for the solution of parametrized PDEs. (English) Zbl 1506.65180 Comput. Methods Appl. Mech. Eng. 376, Article ID 113568, 24 p. (2021). MSC: 65M99 68T05 PDFBibTeX XMLCite \textit{I. Kalogeris} and \textit{V. Papadopoulos}, Comput. Methods Appl. Mech. Eng. 376, Article ID 113568, 24 p. (2021; Zbl 1506.65180) Full Text: DOI
Alsayyari, Fahad; Perkó, Zoltán; Tiberga, Marco; Kloosterman, Jan Leen; Lathouwers, Danny A fully adaptive nonintrusive reduced-order modelling approach for parametrized time-dependent problems. (English) Zbl 1506.74384 Comput. Methods Appl. Mech. Eng. 373, Article ID 113483, 21 p. (2021). MSC: 74S05 65M60 PDFBibTeX XMLCite \textit{F. Alsayyari} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113483, 21 p. (2021; Zbl 1506.74384) Full Text: DOI
Mai-Duy, N.; Strunin, D. New approximations for one-dimensional 3-point and two-dimensional 5-point compact integrated RBF stencils. (English) Zbl 1464.65211 Eng. Anal. Bound. Elem. 125, 12-22 (2021). MSC: 65N35 65D12 PDFBibTeX XMLCite \textit{N. Mai-Duy} and \textit{D. Strunin}, Eng. Anal. Bound. Elem. 125, 12--22 (2021; Zbl 1464.65211) Full Text: DOI Link
Sun, Xiang; Choi, Jung-Il Non-intrusive reduced-order modeling for uncertainty quantification of space-time-dependent parameterized problems. (English) Zbl 1524.76230 Comput. Math. Appl. 87, 50-64 (2021). MSC: 76M10 65M60 76D05 65N99 35B30 76M22 PDFBibTeX XMLCite \textit{X. Sun} and \textit{J.-I. Choi}, Comput. Math. Appl. 87, 50--64 (2021; Zbl 1524.76230) Full Text: DOI
Lu, Chuan; Zhu, Xueyu Bifidelity data-assisted neural networks in nonintrusive reduced-order modeling. (English) Zbl 1466.65225 J. Sci. Comput. 87, No. 1, Paper No. 8, 30 p. (2021). MSC: 65N99 68T07 PDFBibTeX XMLCite \textit{C. Lu} and \textit{X. Zhu}, J. Sci. Comput. 87, No. 1, Paper No. 8, 30 p. (2021; Zbl 1466.65225) Full Text: DOI arXiv
Marconi, Jacopo; Tiso, Paolo; Braghin, Francesco A nonlinear reduced order model with parametrized shape defects. (English) Zbl 1441.74262 Comput. Methods Appl. Mech. Eng. 360, Article ID 112785, 22 p. (2020). MSC: 74S05 65N30 74H45 PDFBibTeX XMLCite \textit{J. Marconi} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112785, 22 p. (2020; Zbl 1441.74262) Full Text: DOI
Yang, Feng-Lian; Yan, Liang A non-intrusive reduced basis EKI for time fractional diffusion inverse problems. (English) Zbl 1431.65161 Acta Math. Appl. Sin., Engl. Ser. 36, No. 1, 183-202 (2020). MSC: 65M32 62F15 35R11 PDFBibTeX XMLCite \textit{F.-L. Yang} and \textit{L. Yan}, Acta Math. Appl. Sin., Engl. Ser. 36, No. 1, 183--202 (2020; Zbl 1431.65161) 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
Xiao, D.; Fang, F.; Heaney, C. E.; Navon, I. M.; Pain, C. C. A domain decomposition method for the non-intrusive reduced order modelling of fluid flow. (English) Zbl 1441.76074 Comput. Methods Appl. Mech. Eng. 354, 307-330 (2019). MSC: 76M10 65M60 65M55 76D05 PDFBibTeX XMLCite \textit{D. Xiao} et al., Comput. Methods Appl. Mech. Eng. 354, 307--330 (2019; Zbl 1441.76074) 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
Chakir, R.; Maday, Y.; Parnaudeau, P. A non-intrusive reduced basis approach for parametrized heat transfer problems. (English) Zbl 1416.65587 J. Comput. Phys. 376, 617-633 (2019). MSC: 65Z05 65K10 65N30 35Q79 PDFBibTeX XMLCite \textit{R. Chakir} et al., J. Comput. Phys. 376, 617--633 (2019; Zbl 1416.65587) Full Text: DOI HAL
Xiao, D.; Heaney, C. E.; Fang, F.; Mottet, L.; Hu, R.; Bistrian, D. A.; Aristodemou, E.; Navon, I. M.; Pain, C. C. A domain decomposition non-intrusive reduced order model for turbulent flows. (English) Zbl 1411.76072 Comput. Fluids 182, 15-27 (2019). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{D. Xiao} et al., Comput. Fluids 182, 15--27 (2019; Zbl 1411.76072) Full Text: DOI Link
Zokagoa, Jean-Marie; Soulaïmani, Azzeddine A POD-based reduced-order model for uncertainty analyses in shallow water flows. (English) Zbl 07474471 Int. J. Comput. Fluid Dyn. 32, No. 6-7, 278-292 (2018). MSC: 86-XX 76-XX PDFBibTeX XMLCite \textit{J.-M. Zokagoa} and \textit{A. Soulaïmani}, Int. J. Comput. Fluid Dyn. 32, No. 6--7, 278--292 (2018; Zbl 07474471) Full Text: DOI
Le Guennec, Y.; Brunet, J.-P.; Daim, F.-Z.; Chau, M.; Tourbier, Y. A parametric and non-intrusive reduced order model of car crash simulation. (English) Zbl 1440.74298 Comput. Methods Appl. Mech. Eng. 338, 186-207 (2018). MSC: 74P15 74S99 65K05 90C05 90C90 PDFBibTeX XMLCite \textit{Y. Le Guennec} et al., Comput. Methods Appl. Mech. Eng. 338, 186--207 (2018; Zbl 1440.74298) Full Text: DOI HAL
Dehghan, Mehdi; Abbaszadeh, Mostafa A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination. (English) Zbl 1409.76095 Comput. Math. Appl. 75, No. 4, 1390-1412 (2018). MSC: 76M22 76M10 65M70 86A05 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Math. Appl. 75, No. 4, 1390--1412 (2018; Zbl 1409.76095) Full Text: DOI
Li, Qiuqi; Wang, Yuhe; Vasilyeva, Maria Multiscale model reduction for fluid infiltration simulation through dual-continuum porous media with localized uncertainties. (English) Zbl 1524.65568 J. Comput. Appl. Math. 336, 127-146 (2018). MSC: 65M60 65N30 76S05 76M10 65N15 35R60 65M99 65K05 90C59 65M06 PDFBibTeX XMLCite \textit{Q. Li} et al., J. Comput. Appl. Math. 336, 127--146 (2018; Zbl 1524.65568) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa A reduced proper orthogonal decomposition (POD) element free Galerkin (POD-EFG) method to simulate two-dimensional solute transport problems and error estimate. (English) Zbl 1380.65255 Appl. Numer. Math. 126, 92-112 (2018). MSC: 65M60 65M12 65M15 35L04 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Appl. Numer. Math. 126, 92--112 (2018; Zbl 1380.65255) Full Text: DOI