Fu, R.; Xiao, D.; Navon, I. M.; Fang, F.; Yang, L.; Wang, C.; Cheng, S. A non-linear non-intrusive reduced order model of fluid flow by auto-encoder and self-attention deep learning methods. (English) Zbl 1524.76277 Int. J. Numer. Methods Eng. 124, No. 13, 3087-3111 (2023). MSC: 76M22 PDFBibTeX XMLCite \textit{R. Fu} et al., Int. J. Numer. Methods Eng. 124, No. 13, 3087--3111 (2023; Zbl 1524.76277) Full Text: DOI
Chetry, Manisha; Borzacchiello, Domenico; D’Avino, Gaetano; Rocha Da Silva, Luisa Comparing different stabilization strategies for reduced order modeling of viscoelastic fluid flow problems. (English) Zbl 1521.76037 Comput. Fluids 265, Article ID 106013, 13 p. (2023). MSC: 76A10 76M10 65N30 PDFBibTeX XMLCite \textit{M. Chetry} et al., Comput. Fluids 265, Article ID 106013, 13 p. (2023; Zbl 1521.76037) Full Text: DOI
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
Abbaszadeh, Mostafa; Azis, Mohammad Ivan; Dehghan, Mehdi; Mohammadi-Arani, Reza Reduced order model for simulation of air pollution model and application in 2D urban street canyons via the meshfree gradient smoothing method. (English) Zbl 07692044 Comput. Math. Appl. 140, 195-210 (2023). MSC: 76M25 76D05 76M12 65M06 76M20 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Comput. Math. Appl. 140, 195--210 (2023; Zbl 07692044) Full Text: DOI
Huhn, Quincy A.; Tano, Mauricio E.; Ragusa, Jean C.; Choi, Youngsoo Parametric dynamic mode decomposition for reduced order modeling. (English) Zbl 07649273 J. Comput. Phys. 475, Article ID 111852, 20 p. (2023). MSC: 65Mxx 37Mxx 65-XX PDFBibTeX XMLCite \textit{Q. A. Huhn} et al., J. Comput. Phys. 475, Article ID 111852, 20 p. (2023; Zbl 07649273) Full Text: DOI arXiv
Dabaghian, Pedram H.; Ahmed, Shady E.; San, Omer Nonintrusive reduced order modelling of convective Boussinesq flows. (English) Zbl 1508.76089 Int. J. Comput. Fluid Dyn. 36, No. 7, 578-598 (2022). MSC: 76M99 76D99 76R10 80A19 68T05 PDFBibTeX XMLCite \textit{P. H. Dabaghian} et al., Int. J. Comput. Fluid Dyn. 36, No. 7, 578--598 (2022; Zbl 1508.76089) Full Text: DOI arXiv
Yu, Jian; Hesthaven, Jan S. Model order reduction for compressible flows solved using the discontinuous Galerkin methods. (English) Zbl 07578888 J. Comput. Phys. 468, Article ID 111452, 32 p. (2022). MSC: 76Mxx 65Mxx 65Nxx PDFBibTeX XMLCite \textit{J. Yu} and \textit{J. S. Hesthaven}, J. Comput. Phys. 468, Article ID 111452, 32 p. (2022; Zbl 07578888) Full Text: DOI
MohammadiArani, Reza; Dehghan, Mehdi; Abbaszadeh, Mostafa Proper orthogonal decomposition-lattice Boltzmann method: simulating the air pollutant problem in street canyon areas. (English) Zbl 1492.76097 SIAM J. Sci. Comput. 44, No. 4, B885-B909 (2022). MSC: 76N15 65M22 76M28 PDFBibTeX XMLCite \textit{R. MohammadiArani} et al., SIAM J. Sci. Comput. 44, No. 4, B885--B909 (2022; Zbl 1492.76097) 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
Saffarian, Marziyeh; Mohebbi, Akbar Reduced proper orthogonal decomposition spectral element method for the solution of 2D multi-term time fractional mixed diffusion and diffusion-wave equations in linear and nonlinear modes. (English) Zbl 1524.65681 Comput. Math. Appl. 117, 127-154 (2022). MSC: 65M70 65M06 35R11 65M12 65M60 26A33 65M99 65N35 PDFBibTeX XMLCite \textit{M. Saffarian} and \textit{A. Mohebbi}, Comput. Math. Appl. 117, 127--154 (2022; Zbl 1524.65681) 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
Voloskov, Dmitry; Pissarenko, Dimitri Adaptive POD-Galerkin technique for reservoir simulation and optimization. (English) Zbl 1477.86004 Math. Geosci. 53, No. 8, 1951-1975 (2021). MSC: 86-08 65M60 86A04 PDFBibTeX XMLCite \textit{D. Voloskov} and \textit{D. Pissarenko}, Math. Geosci. 53, No. 8, 1951--1975 (2021; Zbl 1477.86004) Full Text: DOI arXiv
Kadeethum, Teeratorn; Ballarin, Francesco; Bouklas, Nikolaos Data-driven reduced order modeling of poroelasticity of heterogeneous media based on a discontinuous Galerkin approximation. (English) Zbl 1480.65260 GEM. Int. J. Geomath. 12, Paper No. 12, 45 p. (2021). MSC: 65M60 76S05 86A05 PDFBibTeX XMLCite \textit{T. Kadeethum} et al., GEM. Int. J. Geomath. 12, Paper No. 12, 45 p. (2021; Zbl 1480.65260) Full Text: DOI arXiv
Sarna, Neeraj; Benner, Peter Data-driven model order reduction for problems with parameter-dependent jump-discontinuities. (English) Zbl 1507.65210 Comput. Methods Appl. Mech. Eng. 387, Article ID 114168, 30 p. (2021). MSC: 65M99 60G15 62J02 PDFBibTeX XMLCite \textit{N. Sarna} and \textit{P. Benner}, Comput. Methods Appl. Mech. Eng. 387, Article ID 114168, 30 p. (2021; Zbl 1507.65210) Full Text: DOI arXiv
Abdedou, Azzedine; Soulaïmani, Azzeddine A non-intrusive reduced-order modeling for uncertainty propagation of time-dependent problems using a B-splines Bézier elements-based method and proper orthogonal decomposition: application to dam-break flows. (English) Zbl 1524.76130 Comput. Math. Appl. 102, 187-205 (2021). MSC: 76D05 65N30 76M10 65M60 PDFBibTeX XMLCite \textit{A. Abdedou} and \textit{A. Soulaïmani}, Comput. Math. Appl. 102, 187--205 (2021; Zbl 1524.76130) Full Text: DOI arXiv
Ma, Zhan; Pan, Wenxiao Data-driven nonintrusive reduced order modeling for dynamical systems with moving boundaries using Gaussian process regression. (English) Zbl 1506.65137 Comput. Methods Appl. Mech. Eng. 373, Article ID 113495, 25 p. (2021). MSC: 65M08 37M10 60G15 62G08 PDFBibTeX XMLCite \textit{Z. Ma} and \textit{W. Pan}, Comput. Methods Appl. Mech. Eng. 373, Article ID 113495, 25 p. (2021; Zbl 1506.65137) Full Text: DOI arXiv
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
Gao, Han; Wang, Jian-Xun; Zahr, Matthew J. Non-intrusive model reduction of large-scale, nonlinear dynamical systems using deep learning. (English) Zbl 1489.93013 Physica D 412, Article ID 132614, 12 p. (2020). MSC: 93B11 93A15 93C10 68T07 PDFBibTeX XMLCite \textit{H. Gao} et al., Physica D 412, Article ID 132614, 12 p. (2020; Zbl 1489.93013) Full Text: DOI arXiv
Puligilla, Shivakanth Chary; Jayaraman, Balaji Assessment of end-to-end and sequential data-driven learning for non-intrusive modeling of fluid flows. (English) Zbl 1450.76032 Adv. Comput. Math. 46, No. 4, Paper No. 55, 44 p. (2020). MSC: 76M99 76M20 76D05 68T05 92B20 PDFBibTeX XMLCite \textit{S. C. Puligilla} and \textit{B. Jayaraman}, Adv. Comput. Math. 46, No. 4, Paper No. 55, 44 p. (2020; Zbl 1450.76032) Full Text: DOI arXiv
Abbaszadeh, Mostafa; Dehghan, Mehdi Reduced order modeling of time-dependent incompressible Navier-Stokes equation with variable density based on a local radial basis functions-finite difference (LRBF-FD) technique and the POD/DEIM method. (English) Zbl 1442.65287 Comput. Methods Appl. Mech. Eng. 364, Article ID 112914, 28 p. (2020). MSC: 65M70 65D12 76D05 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Comput. Methods Appl. Mech. Eng. 364, Article ID 112914, 28 p. (2020; Zbl 1442.65287) Full Text: DOI
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
Wu, Pin; Sun, Junwu; Chang, Xuting; Zhang, Wenjie; Arcucci, Rossella; Guo, Yike; Pain, Christopher C. Data-driven reduced order model with temporal convolutional neural network. (English) Zbl 1441.76101 Comput. Methods Appl. Mech. Eng. 360, Article ID 112766, 13 p. (2020). MSC: 76M99 65F50 PDFBibTeX XMLCite \textit{P. Wu} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112766, 13 p. (2020; Zbl 1441.76101) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique. (English) Zbl 1444.76083 Appl. Numer. Math. 150, 274-294 (2020). Reviewer: Petr Sváček (Praha) MSC: 76M99 76M20 76A10 65M12 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 150, 274--294 (2020; Zbl 1444.76083) Full Text: DOI
Alsayyari, Fahad; Perkó, Zoltán; Lathouwers, Danny; Kloosterman, Jan Leen A nonintrusive reduced order modelling approach using proper orthogonal decomposition and locally adaptive sparse grids. (English) Zbl 1453.65029 J. Comput. Phys. 399, Article ID 108912, 25 p. (2019). MSC: 65D05 82D75 PDFBibTeX XMLCite \textit{F. Alsayyari} et al., J. Comput. Phys. 399, Article ID 108912, 25 p. (2019; Zbl 1453.65029) Full Text: DOI Link
Yu, Jian; Yan, Chao; Jiang, Zhenhua; Yuan, Wu; Chen, Shusheng Adaptive non-intrusive reduced order modeling for compressible flows. (English) Zbl 1453.76118 J. Comput. Phys. 397, Article ID 108855, 27 p. (2019). MSC: 76M12 65M08 68T05 35B30 76N15 PDFBibTeX XMLCite \textit{J. Yu} et al., J. Comput. Phys. 397, Article ID 108855, 27 p. (2019; Zbl 1453.76118) Full Text: DOI
San, Omer; Maulik, Romit; Ahmed, Mansoor An artificial neural network framework for reduced order modeling of transient flows. (English) Zbl 1479.76082 Commun. Nonlinear Sci. Numer. Simul. 77, 271-287 (2019). MSC: 76M99 76D33 68T05 92B20 PDFBibTeX XMLCite \textit{O. San} et al., Commun. Nonlinear Sci. Numer. Simul. 77, 271--287 (2019; Zbl 1479.76082) 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
Zahr, Matthew J.; Carlberg, Kevin T.; Kouri, Drew P. An efficient, globally convergent method for optimization under uncertainty using adaptive model reduction and sparse grids. (English) Zbl 1448.65057 SIAM/ASA J. Uncertain. Quantif. 7, 877-912 (2019). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65K10 65D40 65K05 90C15 65N35 65M15 65M22 PDFBibTeX XMLCite \textit{M. J. Zahr} et al., SIAM/ASA J. Uncertain. Quantif. 7, 877--912 (2019; Zbl 1448.65057) Full Text: DOI arXiv
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
Xiao, D.; Fang, F.; Pain, C. C.; Navon, I. M. A parameterized non-intrusive reduced order model and error analysis for general time-dependent nonlinear partial differential equations and its applications. (English) Zbl 1439.65124 Comput. Methods Appl. Mech. Eng. 317, 868-889 (2017). MSC: 65M60 PDFBibTeX XMLCite \textit{D. Xiao} et al., Comput. Methods Appl. Mech. Eng. 317, 868--889 (2017; Zbl 1439.65124) Full Text: DOI Link
Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C. C.; Navon, I. M.; Chen, M. A non-intrusive reduced-order model for compressible fluid and fractured solid coupling and its application to blasting. (English) Zbl 1378.74067 J. Comput. Phys. 330, 221-244 (2017). MSC: 74S05 76M10 74R99 PDFBibTeX XMLCite \textit{D. Xiao} et al., J. Comput. Phys. 330, 221--244 (2017; Zbl 1378.74067) Full Text: DOI Link
Dehghan, Mehdi; Abbaszadeh, Mostafa The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. (English) Zbl 1380.65301 J. Comput. Phys. 351, 478-510 (2017). MSC: 65M70 65D05 76M25 35Q35 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, J. Comput. Phys. 351, 478--510 (2017; Zbl 1380.65301) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation. (English) Zbl 1439.76060 Comput. Methods Appl. Mech. Eng. 311, 856-888 (2016). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Methods Appl. Mech. Eng. 311, 856--888 (2016; Zbl 1439.76060) Full Text: DOI
Peherstorfer, Benjamin; Willcox, Karen Data-driven operator inference for nonintrusive projection-based model reduction. (English) Zbl 1436.93062 Comput. Methods Appl. Mech. Eng. 306, 196-215 (2016). MSC: 93C05 93A15 93C15 65M20 65M99 93B11 PDFBibTeX XMLCite \textit{B. Peherstorfer} and \textit{K. Willcox}, Comput. Methods Appl. Mech. Eng. 306, 196--215 (2016; Zbl 1436.93062) Full Text: DOI
Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C. C.; Navon, I. M. Non-intrusive reduced order modelling of fluid-structure interactions. (English) Zbl 1425.74167 Comput. Methods Appl. Mech. Eng. 303, 35-54 (2016). MSC: 74F10 76M10 76D05 PDFBibTeX XMLCite \textit{D. Xiao} et al., Comput. Methods Appl. Mech. Eng. 303, 35--54 (2016; Zbl 1425.74167) Full Text: DOI