Sun, Zixian; Ni, Ruichen; Zeng, Zhixin; Zhang, Xiong A localized subdomain smoothing MMALE particle method for efficient modeling FSI problems. (English) Zbl 07796696 Comput. Methods Appl. Mech. Eng. 419, Article ID 116676, 30 p. (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{Z. Sun} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116676, 30 p. (2024; Zbl 07796696) Full Text: DOI
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
Morisco, Cosimo Tarsia; Tenkès, Lucille-Marie; Alauzet, Frédéric Vertex-centered mixed finite element-finite volume scheme for 2D anisotropic hybrid mesh adaptation. (English) Zbl 07796662 Comput. Methods Appl. Mech. Eng. 419, Article ID 116638, 47 p. (2024). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{C. T. Morisco} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116638, 47 p. (2024; Zbl 07796662) Full Text: DOI
Liu, Qiang; Zhu, Wei; Jia, Xiyu; Ma, Feng; Wen, Jun; Wu, Yixiong; Chen, Kuangqi; Zhang, Zhenhai; Wang, Shuang The anisotropic graph neural network model with multiscale and nonlinear characteristic for turbulence simulation. (English) Zbl 07796643 Comput. Methods Appl. Mech. Eng. 419, Article ID 116543, 26 p. (2024). MSC: 76-XX 86-XX PDFBibTeX XMLCite \textit{Q. Liu} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116543, 26 p. (2024; Zbl 07796643) Full Text: DOI
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
Li, Kun; Li, Yixin; Li, Liang; Lanteri, Stéphane Surrogate modeling of time-domain electromagnetic wave propagation via dynamic mode decomposition and radial basis function. (English) Zbl 07771271 J. Comput. Phys. 491, Article ID 112354, 23 p. (2023). MSC: 65Mxx 65Nxx 76Mxx PDFBibTeX XMLCite \textit{K. Li} et al., J. Comput. Phys. 491, Article ID 112354, 23 p. (2023; Zbl 07771271) Full Text: DOI
Misaka, Takashi Space-time adaptive model order reduction utilizing local low-dimensionality of flow field. (English) Zbl 07748061 J. Comput. Phys. 493, Article ID 112475, 18 p. (2023). MSC: 76Mxx 76Dxx 76Fxx PDFBibTeX XMLCite \textit{T. Misaka}, J. Comput. Phys. 493, Article ID 112475, 18 p. (2023; Zbl 07748061) Full Text: DOI
Mou, Changhong; Chen, Nan; Iliescu, Traian An efficient data-driven multiscale stochastic reduced order modeling framework for complex systems. (English) Zbl 07748041 J. Comput. Phys. 493, Article ID 112450, 30 p. (2023). MSC: 76Mxx 76Fxx 65Mxx PDFBibTeX XMLCite \textit{C. Mou} et al., J. Comput. Phys. 493, Article ID 112450, 30 p. (2023; Zbl 07748041) Full Text: DOI arXiv
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
Arcucci, Rossella; Xiao, Dunhui; Fang, Fangxin; Navon, Ionel Michael; Wu, Pin; Pain, Christopher C.; Guo, Yi-Ke A reduced order with data assimilation model: theory and practice. (English) Zbl 1521.76314 Comput. Fluids 257, Article ID 105862, 12 p. (2023). MSC: 76M10 65M60 62R07 76F50 PDFBibTeX XMLCite \textit{R. Arcucci} et al., Comput. Fluids 257, Article ID 105862, 12 p. (2023; Zbl 1521.76314) Full Text: DOI
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
Shang, Yueqiang; Ran, Hongtao A parallel subgrid stabilized algorithm for incompressible flows with nonlinear slip boundary conditions. (English) Zbl 1512.65274 Discrete Contin. Dyn. Syst., Ser. B 28, No. 7, 4087-4107 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65N12 65Y05 76D05 76M10 PDFBibTeX XMLCite \textit{Y. Shang} and \textit{H. Ran}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 7, 4087--4107 (2023; Zbl 1512.65274) Full Text: DOI
Chen, Peter Yichen; Chiaramonte, Maurizio M.; Grinspun, Eitan; Carlberg, Kevin Model reduction for the material point method via an implicit neural representation of the deformation map. (English) Zbl 07660321 J. Comput. Phys. 478, Article ID 111908, 30 p. (2023). MSC: 76Mxx 93Bxx 74Sxx PDFBibTeX XMLCite \textit{P. Y. Chen} et al., J. Comput. Phys. 478, Article ID 111908, 30 p. (2023; Zbl 07660321) Full Text: DOI arXiv
Cheung, Siu Wun; Choi, Youngsoo; Copeland, Dylan Matthew; Huynh, Kevin Local Lagrangian reduced-order modeling for the Rayleigh-Taylor instability by solution manifold decomposition. (English) Zbl 07620355 J. Comput. Phys. 472, Article ID 111655, 29 p. (2023). MSC: 65Mxx 76Mxx 65Fxx PDFBibTeX XMLCite \textit{S. W. Cheung} et al., J. Comput. Phys. 472, Article ID 111655, 29 p. (2023; Zbl 07620355) Full Text: DOI arXiv
Cao, Shunxiang; Huang, Daniel Zhengyu Bayesian calibration for large-scale fluid structure interaction problems under embedded/immersed boundary framework. (English) Zbl 07769233 Int. J. Numer. Methods Eng. 123, No. 8, 1791-1812 (2022). MSC: 76M99 74F10 76N15 PDFBibTeX XMLCite \textit{S. Cao} and \textit{D. Z. Huang}, Int. J. Numer. Methods Eng. 123, No. 8, 1791--1812 (2022; Zbl 07769233) 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
Stoter, Stein K. F.; Jessen, Etienne; Niedens, Viktor; Schillinger, Dominik A DEIM driven reduced basis method for the diffuse Stokes/Darcy model coupled at parametric phase-field interfaces. (English) Zbl 1502.86003 Comput. Geosci. 26, No. 6, 1465-1502 (2022). MSC: 86-10 86A32 76S05 PDFBibTeX XMLCite \textit{S. K. F. Stoter} et al., Comput. Geosci. 26, No. 6, 1465--1502 (2022; Zbl 1502.86003) Full Text: DOI arXiv
Yu, Jian; Ray, Deep; Hesthaven, Jan S. Fourier collocation and reduced basis methods for fast modeling of compressible flows. (English) Zbl 1500.76064 Commun. Comput. Phys. 32, No. 3, 595-637 (2022). MSC: 76M22 76M20 76N15 76L05 PDFBibTeX XMLCite \textit{J. Yu} et al., Commun. Comput. Phys. 32, No. 3, 595--637 (2022; Zbl 1500.76064) Full Text: DOI
Meehan, Michael A.; Simons-Wellin, Sam; Hamlington, Peter E. Efficient algorithm for proper orthogonal decomposition of block-structured adaptively refined numerical simulations. (English) Zbl 07592131 J. Comput. Phys. 469, Article ID 111527, 27 p. (2022). MSC: 65Nxx 76Fxx 65Fxx PDFBibTeX XMLCite \textit{M. A. Meehan} et al., J. Comput. Phys. 469, Article ID 111527, 27 p. (2022; Zbl 07592131) Full Text: DOI
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
Oulghelou, M.; Beghein, C.; Allery, C. A surrogate optimization approach for inverse problems: application to turbulent mixed-convection flows. (English) Zbl 1521.76616 Comput. Fluids 241, Article ID 105490, 11 p. (2022). MSC: 76M21 76D55 PDFBibTeX XMLCite \textit{M. Oulghelou} et al., Comput. Fluids 241, Article ID 105490, 11 p. (2022; Zbl 1521.76616) Full Text: DOI arXiv
Du, Eugene; Yano, Masayuki Efficient hyperreduction of high-order discontinuous Galerkin methods: element-wise and point-wise reduced quadrature formulations. (English) Zbl 07561076 J. Comput. Phys. 466, Article ID 111399, 20 p. (2022). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{E. Du} and \textit{M. Yano}, J. Comput. Phys. 466, Article ID 111399, 20 p. (2022; Zbl 07561076) Full Text: DOI
Lu, Qinghua; Wang, Li; Li, Longsuo Efficient uncertainty quantification of stochastic problems in CFD by combination of compressed sensing and POD-kriging. (English) Zbl 1507.76176 Comput. Methods Appl. Mech. Eng. 396, Article ID 115118, 29 p. (2022). MSC: 76M35 62M20 62M10 65C20 PDFBibTeX XMLCite \textit{Q. Lu} et al., Comput. Methods Appl. Mech. Eng. 396, Article ID 115118, 29 p. (2022; Zbl 1507.76176) Full Text: DOI
Karatzas, Efthymios N.; Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi A reduced order cut finite element method for geometrically parametrized steady and unsteady Navier-Stokes problems. (English) Zbl 1524.76215 Comput. Math. Appl. 116, 140-160 (2022). MSC: 76M10 65N30 76D05 65M60 65M15 PDFBibTeX XMLCite \textit{E. N. Karatzas} et al., Comput. Math. Appl. 116, 140--160 (2022; Zbl 1524.76215) Full Text: DOI arXiv
García-Archilla, Bosco; Novo, Julia; Rubino, Samuele Error analysis of proper orthogonal decomposition data assimilation schemes with grad-div stabilization for the Navier-Stokes equations. (English) Zbl 1486.65167 J. Comput. Appl. Math. 411, Article ID 114246, 30 p. (2022). MSC: 65M60 35Q30 65M12 65M15 65M20 76D55 PDFBibTeX XMLCite \textit{B. García-Archilla} et al., J. Comput. Appl. Math. 411, Article ID 114246, 30 p. (2022; Zbl 1486.65167) Full Text: DOI arXiv
Dominesey, Kurt A.; Ji, Wei Reduced-order modeling of neutron transport separated in energy by proper generalized decomposition with applications to nuclear reactor physics. (English) Zbl 07524761 J. Comput. Phys. 449, Article ID 110744, 40 p. (2022). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{K. A. Dominesey} and \textit{W. Ji}, J. Comput. Phys. 449, Article ID 110744, 40 p. (2022; Zbl 07524761) Full Text: DOI
Luo, Zhendong; Yang, Jing The reduced-order method of continuous space-time finite element scheme for the non-stationary incompressible flows. (English) Zbl 07518115 J. Comput. Phys. 456, Article ID 111044, 22 p. (2022). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{Z. Luo} and \textit{J. Yang}, J. Comput. Phys. 456, Article ID 111044, 22 p. (2022; Zbl 07518115) Full Text: DOI
Cao, Xiulei; Fraser, Kirk; Song, Zilong; Drummond, Chris; Huang, Huaxiong Machine learning and reduced order computation of a friction stir welding model. (English) Zbl 07518046 J. Comput. Phys. 454, Article ID 110863, 20 p. (2022). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{X. Cao} et al., J. Comput. Phys. 454, Article ID 110863, 20 p. (2022; Zbl 07518046) Full Text: DOI
Kingora, Kamau; Sadat-Hosseini, Hamid A novel interpolation-free sharp-interface immersed boundary method. (English) Zbl 07517711 J. Comput. Phys. 453, Article ID 110933, 30 p. (2022). MSC: 76Mxx 76Dxx 65Mxx PDFBibTeX XMLCite \textit{K. Kingora} and \textit{H. Sadat-Hosseini}, J. Comput. Phys. 453, Article ID 110933, 30 p. (2022; Zbl 07517711) 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
Copeland, Dylan Matthew; Cheung, Siu Wun; Huynh, Kevin; Choi, Youngsoo Reduced order models for Lagrangian hydrodynamics. (English) Zbl 1507.76179 Comput. Methods Appl. Mech. Eng. 388, Article ID 114259, 43 p. (2022). MSC: 76M60 76M10 65M60 PDFBibTeX XMLCite \textit{D. M. Copeland} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114259, 43 p. (2022; Zbl 1507.76179) Full Text: DOI arXiv
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
Choi, Youngsoo; Brown, Peter; Arrighi, William; Anderson, Robert; Huynh, Kevin Space-time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems. (English) Zbl 07508450 J. Comput. Phys. 424, Article ID 109845, 23 p. (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{Y. Choi} et al., J. Comput. Phys. 424, Article ID 109845, 23 p. (2021; Zbl 07508450) Full Text: DOI arXiv
Wang, Yuepeng; Ding, Xuemei; Hu, Kun; Fang, Fangxin; Navon, I. M.; Lin, Guang Feasibility of DEIM for retrieving the initial field via dimensionality reduction. (English) Zbl 07500740 J. Comput. Phys. 429, Article ID 110005, 15 p. (2021). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Comput. Phys. 429, Article ID 110005, 15 p. (2021; Zbl 07500740) Full Text: DOI
Maulik, Romit; Botsas, Themistoklis; Ramachandra, Nesar; Mason, Lachlan R.; Pan, Indranil Latent-space time evolution of non-intrusive reduced-order models using Gaussian process emulation. (English) Zbl 07493969 Physica D 416, Article ID 132797, 17 p. (2021). MSC: 65P99 37M99 68T07 76B15 PDFBibTeX XMLCite \textit{R. Maulik} et al., Physica D 416, Article ID 132797, 17 p. (2021; Zbl 07493969) Full Text: DOI arXiv
Vu-Huu, T.; Le-Thanh, C.; Nguyen-Xuan, H.; Wahab, M. Abdel Equal-order polygonal analysis for fluid computation in curved domain. (English) Zbl 07446900 Int. J. Comput. Methods 18, No. 5, Article ID 2040003, 10 p. (2021). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{T. Vu-Huu} et al., Int. J. Comput. Methods 18, No. 5, Article ID 2040003, 10 p. (2021; Zbl 07446900) Full Text: DOI
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
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
Ahmed, Shady E.; Pawar, Suraj; San, Omer; Rasheed, Adil; Tabib, Mandar A nudged hybrid analysis and modeling approach for realtime wake-vortex transport and decay prediction. (English) Zbl 1521.76311 Comput. Fluids 221, Article ID 104895, 14 p. (2021). MSC: 76M10 76D25 76D17 PDFBibTeX XMLCite \textit{S. E. Ahmed} et al., Comput. Fluids 221, Article ID 104895, 14 p. (2021; Zbl 1521.76311) Full Text: DOI arXiv
Gadalla, Mahmoud; Cianferra, Marta; Tezzele, Marco; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi On the comparison of LES data-driven reduced order approaches for hydroacoustic analysis. (English) Zbl 1521.76210 Comput. Fluids 216, Article ID 104819, 22 p. (2021). MSC: 76F65 76Q05 PDFBibTeX XMLCite \textit{M. Gadalla} et al., Comput. Fluids 216, Article ID 104819, 22 p. (2021; Zbl 1521.76210) Full Text: DOI arXiv
Onori, Michel; Hills, Nicholas J. Reduced order modelling for a rotor-stator cavity using proper orthogonal decomposition. (English) Zbl 1521.76357 Comput. Fluids 216, Article ID 104818, 18 p. (2021). MSC: 76M10 65M60 76F65 76U05 PDFBibTeX XMLCite \textit{M. Onori} and \textit{N. J. Hills}, Comput. Fluids 216, Article ID 104818, 18 p. (2021; Zbl 1521.76357) Full Text: DOI
Mohammadi, Arash; Shimoyama, Koji; Karimi, Mohamad Sadeq; Raisee, Mehrdad Efficient uncertainty quantification of CFD problems by combination of proper orthogonal decomposition and compressed sensing. (English) Zbl 1481.76166 Appl. Math. Modelling 94, 187-225 (2021). MSC: 76M35 65C20 94A12 PDFBibTeX XMLCite \textit{A. Mohammadi} et al., Appl. Math. Modelling 94, 187--225 (2021; Zbl 1481.76166) Full Text: DOI
Star, S. Kelbij; Stabile, Giovanni; Belloni, Francesco; Rozza, Gianluigi; Degroote, Joris A novel iterative penalty method to enforce boundary conditions in finite volume POD-Galerkin reduced order models for fluid dynamics problems. (English) Zbl 1473.65144 Commun. Comput. Phys. 30, No. 1, 34-66 (2021). MSC: 65M08 35Q35 65M22 76D05 76M12 PDFBibTeX XMLCite \textit{S. K. Star} et al., Commun. Comput. Phys. 30, No. 1, 34--66 (2021; Zbl 1473.65144) 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
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
Star, Sabrina; Stabile, Giovanni; Rozza, Gianluigi; Degroote, Joris A POD-Galerkin reduced order model of a turbulent convective buoyant flow of Sodium over a backward-facing step. (English) Zbl 1479.76049 Appl. Math. Modelling 89, Part 1, 486-503 (2021). MSC: 76F35 76M12 80A19 PDFBibTeX XMLCite \textit{S. Star} et al., Appl. Math. Modelling 89, Part 1, 486--503 (2021; Zbl 1479.76049) Full Text: DOI arXiv Link
Benosman, Mouhacine; Borggaard, Jeff Data-driven robust state estimation for reduced-order models of 2D Boussinesq equations with parametric uncertainties. (English) Zbl 1521.76318 Comput. Fluids 214, Article ID 104773, 15 p. (2021). MSC: 76M10 65M60 76D55 PDFBibTeX XMLCite \textit{M. Benosman} and \textit{J. Borggaard}, Comput. Fluids 214, Article ID 104773, 15 p. (2021; Zbl 1521.76318) Full Text: DOI
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
Dietemann, Bastien; Kraft, Torsten; Kruggel-Emden, Harald; Bierwisch, Claas A smoothed particle hydrodynamics scheme for arbitrarily shaped rigid bodies within highly viscous fluids. (English) Zbl 07785539 J. Comput. Phys.: X 8, Article ID 100068, 25 p. (2020). MSC: 76Mxx 76Dxx 65Mxx PDFBibTeX XMLCite \textit{B. Dietemann} et al., J. Comput. Phys.: X 8, Article ID 100068, 25 p. (2020; Zbl 07785539) Full Text: DOI
Esmaeili, Mohammad; Ahmadi, Mohammad; Kazemi, Alireza A generalized DEIM technique for model order reduction of porous media simulations in reservoir optimizations. (English) Zbl 07508391 J. Comput. Phys. 422, Article ID 109769, 20 p. (2020). MSC: 76-XX 86-XX PDFBibTeX XMLCite \textit{M. Esmaeili} et al., J. Comput. Phys. 422, Article ID 109769, 20 p. (2020; Zbl 07508391) Full Text: DOI
Ahmed, Shady E.; San, Omer; Rasheed, Adil; Iliescu, Traian A long short-term memory embedding for hybrid uplifted reduced order models. (English) Zbl 1505.76071 Physica D 409, Article ID 132471, 16 p. (2020). MSC: 76M99 76D05 76D99 68T05 PDFBibTeX XMLCite \textit{S. E. Ahmed} et al., Physica D 409, Article ID 132471, 16 p. (2020; Zbl 1505.76071) Full Text: DOI arXiv
Maulik, Romit; San, Omer; Jacob, Jamey D. Spatiotemporally dynamic implicit large eddy simulation using machine learning classifiers. (English) Zbl 1489.76030 Physica D 406, Article ID 132409, 12 p. (2020). MSC: 76F65 76M99 68T05 PDFBibTeX XMLCite \textit{R. Maulik} et al., Physica D 406, Article ID 132409, 12 p. (2020; Zbl 1489.76030) Full Text: DOI
Becerra-Sagredo, Julián T.; Jeltsch, Rolf; Málaga, Carlos The collocation basis of compact finite differences for moment-preserving interpolations: review, extension and applications. (English) Zbl 1482.65018 Commun. Comput. Phys. 28, No. 4, 1245-1273 (2020). MSC: 65D05 65D07 41A05 76M23 PDFBibTeX XMLCite \textit{J. T. Becerra-Sagredo} et al., Commun. Comput. Phys. 28, No. 4, 1245--1273 (2020; Zbl 1482.65018) Full Text: DOI
Karatzas, Efthymios N.; Stabile, Giovanni; Nouveau, Leo; Scovazzi, Guglielmo; Rozza, Gianluigi A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations. (English) Zbl 1506.76086 Comput. Methods Appl. Mech. Eng. 370, Article ID 113273, 18 p. (2020). MSC: 76M10 65N30 76D05 PDFBibTeX XMLCite \textit{E. N. Karatzas} et al., Comput. Methods Appl. Mech. Eng. 370, Article ID 113273, 18 p. (2020; Zbl 1506.76086) Full Text: DOI arXiv
Sipp, Denis; Fosas de Pando, Miguel; Schmid, Peter J. Nonlinear model reduction: a comparison between POD-Galerkin and POD-DEIM methods. (English) Zbl 1502.76029 Comput. Fluids 208, Article ID 104628, 21 p. (2020). MSC: 76D25 PDFBibTeX XMLCite \textit{D. Sipp} et al., Comput. Fluids 208, Article ID 104628, 21 p. (2020; Zbl 1502.76029) Full Text: DOI arXiv
Georgaka, Sokratia; Stabile, Giovanni; Star, Kelbij; Rozza, Gianluigi; Bluck, Michael J. A hybrid reduced order method for modelling turbulent heat transfer problems. (English) Zbl 1502.65087 Comput. Fluids 208, Article ID 104615, 13 p. (2020). MSC: 65M08 65D12 76D05 PDFBibTeX XMLCite \textit{S. Georgaka} et al., Comput. Fluids 208, Article ID 104615, 13 p. (2020; Zbl 1502.65087) 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
Cheng, M.; Fang, F.; Pain, C. C.; Navon, I. M. Data-driven modelling of nonlinear spatio-temporal fluid flows using a deep convolutional generative adversarial network. (English) Zbl 1442.76040 Comput. Methods Appl. Mech. Eng. 365, Article ID 113000, 17 p. (2020). MSC: 76D05 76-10 76M10 65M60 PDFBibTeX XMLCite \textit{M. Cheng} et al., Comput. Methods Appl. Mech. Eng. 365, Article ID 113000, 17 p. (2020; Zbl 1442.76040) 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
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
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
Li, Richen; Wu, Qingbiao; Zhu, Shengfeng Proper orthogonal decomposition with SUPG-stabilized isogeometric analysis for reduced order modelling of unsteady convection-dominated convection-diffusion-reaction problems. (English) Zbl 1452.76094 J. Comput. Phys. 387, 280-302 (2019). MSC: 76M10 65M60 76M30 65D07 76R50 76R10 PDFBibTeX XMLCite \textit{R. Li} et al., J. Comput. Phys. 387, 280--302 (2019; Zbl 1452.76094) 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.; 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
Karatzas, Efthymios N.; Stabile, Giovanni; Nouveau, Leo; Scovazzi, Guglielmo; Rozza, Gianluigi A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow. (English) Zbl 1440.76073 Comput. Methods Appl. Mech. Eng. 347, 568-587 (2019). MSC: 76M10 65N30 65N38 76D07 76M15 PDFBibTeX XMLCite \textit{E. N. Karatzas} et al., Comput. Methods Appl. Mech. Eng. 347, 568--587 (2019; Zbl 1440.76073) Full Text: DOI arXiv
Rakhsha, M.; Pazouki, A.; Serban, R.; Negrut, D. Using a half-implicit integration scheme for the SPH-based solution of fluid-solid interaction problems. (English) Zbl 1440.74128 Comput. Methods Appl. Mech. Eng. 345, 100-122 (2019). MSC: 74F10 65M75 76M28 PDFBibTeX XMLCite \textit{M. Rakhsha} et al., Comput. Methods Appl. Mech. Eng. 345, 100--122 (2019; Zbl 1440.74128) Full Text: DOI
Eroglu, Fatma G.; Kaya, Songul; Rebholz, Leo G. POD-ROM for the Darcy-Brinkman equations with double-diffusive convection. (English) Zbl 1458.65125 J. Numer. Math. 27, No. 3, 123-139 (2019). MSC: 65M60 76D99 PDFBibTeX XMLCite \textit{F. G. Eroglu} et al., J. Numer. Math. 27, No. 3, 123--139 (2019; Zbl 1458.65125) Full Text: DOI
Nabi, S.; Grover, P.; Caulfield, C. P. Nonlinear optimal control strategies for buoyancy-driven flows in the built environment. (English) Zbl 1461.76317 Comput. Fluids 194, Article ID 104313, 11 p. (2019). MSC: 76F70 76F35 80A19 PDFBibTeX XMLCite \textit{S. Nabi} et al., Comput. Fluids 194, Article ID 104313, 11 p. (2019; Zbl 1461.76317) Full Text: DOI
Posa, Antonio; Broglia, Riccardo An immersed boundary method coupled with a dynamic overlapping-grids strategy. (English) Zbl 1519.76198 Comput. Fluids 191, Article ID 104250, 20 p. (2019). MSC: 76M15 76M12 65M08 76D05 PDFBibTeX XMLCite \textit{A. Posa} and \textit{R. Broglia}, Comput. Fluids 191, Article ID 104250, 20 p. (2019; Zbl 1519.76198) Full Text: DOI
Peitz, Sebastian; Ober-Blöbaum, Sina; Dellnitz, Michael Multiobjective optimal control methods for the Navier-Stokes equations using reduced order modeling. (English) Zbl 1415.76221 Acta Appl. Math. 161, 171-199 (2019). MSC: 76D55 35Q30 49K20 49M05 90C29 93C20 PDFBibTeX XMLCite \textit{S. Peitz} et al., Acta Appl. Math. 161, 171--199 (2019; Zbl 1415.76221) Full Text: DOI arXiv
Yang, P.; Xiang, J.; Fang, F.; Pavlidis, D.; Pain, C. C. Modelling of fluid-structure interaction for moderate Reynolds number flows using an immersed-body method. (English) Zbl 1411.76073 Comput. Fluids 179, 613-631 (2019). MSC: 76M10 76F60 65M60 74F10 76D05 PDFBibTeX XMLCite \textit{P. Yang} et al., Comput. Fluids 179, 613--631 (2019; Zbl 1411.76073) Full Text: DOI
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
Bistrian, D. A.; Navon, I. M. Efficiency of randomised dynamic mode decomposition for reduced order modelling. (English) Zbl 07474458 Int. J. Comput. Fluid Dyn. 32, No. 2-3, 88-103 (2018). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{D. A. Bistrian} and \textit{I. M. Navon}, Int. J. Comput. Fluid Dyn. 32, No. 2--3, 88--103 (2018; Zbl 07474458) Full Text: DOI
Sauer, Roger A.; Luginsland, Tobias A monolithic fluid-structure interaction formulation for solid and liquid membranes including free-surface contact. (English) Zbl 1440.74129 Comput. Methods Appl. Mech. Eng. 341, 1-31 (2018). MSC: 74F10 74K15 76D05 PDFBibTeX XMLCite \textit{R. A. Sauer} and \textit{T. Luginsland}, Comput. Methods Appl. Mech. Eng. 341, 1--31 (2018; Zbl 1440.74129) Full Text: DOI arXiv
Yang, Liang One-fluid formulation for fluid-structure interaction with free surface. (English) Zbl 1439.76021 Comput. Methods Appl. Mech. Eng. 332, 102-135 (2018). MSC: 76D05 74F10 PDFBibTeX XMLCite \textit{L. Yang}, Comput. Methods Appl. Mech. Eng. 332, 102--135 (2018; Zbl 1439.76021) Full Text: DOI
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
Salinas, P.; Pavlidis, D.; Xie, Z.; Osman, H.; Pain, C. C.; Jackson, M. D. A robust mesh optimisation method for multiphase porous media flows. (English) Zbl 1406.65072 Comput. Geosci. 22, No. 5, 1389-1401 (2018). MSC: 65M08 65M50 76M12 76S05 86A05 PDFBibTeX XMLCite \textit{P. Salinas} et al., Comput. Geosci. 22, No. 5, 1389--1401 (2018; Zbl 1406.65072) Full Text: DOI
Xiao, D.; Du, J.; Fang, F.; Pain, C. C.; Li, J. Parameterised non-intrusive reduced order methods for ensemble Kalman filter data assimilation. (English) Zbl 1410.76397 Comput. Fluids 177, 69-77 (2018). MSC: 76M35 PDFBibTeX XMLCite \textit{D. Xiao} et al., Comput. Fluids 177, 69--77 (2018; Zbl 1410.76397) Full Text: DOI
Stabile, Giovanni; Rozza, Gianluigi Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations. (English) Zbl 1410.76264 Comput. Fluids 173, 273-284 (2018). MSC: 76M12 65M08 76D05 PDFBibTeX XMLCite \textit{G. Stabile} and \textit{G. Rozza}, Comput. Fluids 173, 273--284 (2018; Zbl 1410.76264) Full Text: DOI arXiv
Zhang, Ting; Peng, Ling; Feng, Ping Evaluation of a 3D unstructured-mesh finite element model for dam-break floods. (English) Zbl 1390.76382 Comput. Fluids 160, 64-77 (2018). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{T. Zhang} et al., Comput. Fluids 160, 64--77 (2018; Zbl 1390.76382) 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
Funke, S. W.; Farrell, P. E.; Piggott, M. D. Reconstructing wave profiles from inundation data. (English) Zbl 1439.76068 Comput. Methods Appl. Mech. Eng. 322, 167-186 (2017). MSC: 76M10 65M60 76B15 PDFBibTeX XMLCite \textit{S. W. Funke} et al., Comput. Methods Appl. Mech. Eng. 322, 167--186 (2017; Zbl 1439.76068) Full Text: DOI arXiv
Elman, Howard C.; Forstall, Virginia Numerical solution of the parameterized steady-state Navier-Stokes equations using empirical interpolation methods. (English) Zbl 1439.76064 Comput. Methods Appl. Mech. Eng. 317, 380-399 (2017). MSC: 76M10 65N30 76D05 PDFBibTeX XMLCite \textit{H. C. Elman} and \textit{V. Forstall}, Comput. Methods Appl. Mech. Eng. 317, 380--399 (2017; Zbl 1439.76064) Full Text: DOI arXiv
Kou, Jiaqing; Zhang, Weiwei An improved criterion to select dominant modes from dynamic mode decomposition. (English) Zbl 1408.76202 Eur. J. Mech., B, Fluids 62, 109-129 (2017); corrigendum ibid. 68, 219 (2018). MSC: 76D17 74F10 76H05 37N10 PDFBibTeX XMLCite \textit{J. Kou} and \textit{W. Zhang}, Eur. J. Mech., B, Fluids 62, 109--129 (2017; Zbl 1408.76202) Full Text: DOI
Stabile, Giovanni; Hijazi, Saddam; Mola, Andrea; Lorenzi, Stefano; Rozza, Gianluigi POD-Galerkin reduced order methods for CFD using finite volume discretisation: vortex shedding around a circular cylinder. (English) Zbl 1383.35175 Commun. Appl. Ind. Math. 8, No. 1, 210-236 (2017). MSC: 35Q35 97N40 76D17 76D05 65M08 PDFBibTeX XMLCite \textit{G. Stabile} et al., Commun. Appl. Ind. Math. 8, No. 1, 210--236 (2017; Zbl 1383.35175) Full Text: DOI arXiv
Carlberg, Kevin; Barone, Matthew; Antil, Harbir Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction. (English) Zbl 1378.65145 J. Comput. Phys. 330, 693-734 (2017). MSC: 65L05 65L60 76M25 PDFBibTeX XMLCite \textit{K. Carlberg} et al., J. Comput. Phys. 330, 693--734 (2017; Zbl 1378.65145) Full Text: DOI arXiv
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
Kikuchi, Ryota; Misaka, Takashi; Obayashi, Shigeru International journal of computational fluid dynamics real-time prediction of unsteady flow based on POD reduced-order model and particle filter. (English) Zbl 07516894 Int. J. Comput. Fluid Dyn. 30, No. 4, 285-306 (2016). MSC: 76-XX 83-XX PDFBibTeX XMLCite \textit{R. Kikuchi} et al., Int. J. Comput. Fluid Dyn. 30, No. 4, 285--306 (2016; Zbl 07516894) 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
Bistrian, Diana A.; Susan-Resiga, R. F. Weighted proper orthogonal decomposition of the swirling flow exiting the hydraulic turbine runner. (English) Zbl 1459.76077 Appl. Math. Modelling 40, No. 5-6, 4057-4078 (2016). MSC: 76M10 76F10 76F06 PDFBibTeX XMLCite \textit{D. A. Bistrian} and \textit{R. F. Susan-Resiga}, Appl. Math. Modelling 40, No. 5--6, 4057--4078 (2016; Zbl 1459.76077) 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
Xiao, D.; Fang, F.; Buchan, A. G.; Pain, C. C.; Navon, I. M.; Muggeridge, A. Non-intrusive reduced order modelling of the Navier-Stokes equations. (English) Zbl 1423.76287 Comput. Methods Appl. Mech. Eng. 293, 522-541 (2015). MSC: 76M10 65M60 76D05 35Q30 PDFBibTeX XMLCite \textit{D. Xiao} et al., Comput. Methods Appl. Mech. Eng. 293, 522--541 (2015; Zbl 1423.76287) Full Text: DOI
Wu, Yuqi; Hetmaniuk, Ulrich Adaptive training of local reduced bases for unsteady incompressible Navier-Stokes flows. (English) Zbl 1352.76070 Int. J. Numer. Methods Eng. 103, No. 3, 183-204 (2015). MSC: 76M10 76D05 65M60 65M50 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{U. Hetmaniuk}, Int. J. Numer. Methods Eng. 103, No. 3, 183--204 (2015; Zbl 1352.76070) Full Text: DOI
Ballarin, Francesco; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations. (English) Zbl 1352.76039 Int. J. Numer. Methods Eng. 102, No. 5, 1136-1161 (2015). MSC: 76M10 65N30 65N12 76D05 PDFBibTeX XMLCite \textit{F. Ballarin} et al., Int. J. Numer. Methods Eng. 102, No. 5, 1136--1161 (2015; Zbl 1352.76039) Full Text: DOI Link
Ştefănescu, R.; Sandu, A.; Navon, I. M. POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation. (English) Zbl 1349.76535 J. Comput. Phys. 295, 569-595 (2015). MSC: 76M20 65M06 65M32 76B15 90C90 PDFBibTeX XMLCite \textit{R. Ştefănescu} et al., J. Comput. Phys. 295, 569--595 (2015; Zbl 1349.76535) Full Text: DOI arXiv
San, Omer; Iliescu, Traian A stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation. (English) Zbl 1327.37028 Adv. Comput. Math. 41, No. 5, 1289-1319 (2015). MSC: 37N10 76M25 76F20 76D99 PDFBibTeX XMLCite \textit{O. San} and \textit{T. Iliescu}, Adv. Comput. Math. 41, No. 5, 1289--1319 (2015; Zbl 1327.37028) Full Text: DOI arXiv