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
de Castro, Amy; Bochev, Pavel; Kuberry, Paul; Tezaur, Irina Explicit synchronous partitioned scheme for coupled reduced order models based on composite reduced bases. (English) Zbl 07788107 Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116398, 36 p. (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{A. de Castro} et al., Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116398, 36 p. (2023; Zbl 07788107) Full Text: DOI arXiv
Ares de Parga, S.; Bravo, J. R.; Hernández, J. A.; Zorrilla, R.; Rossi, R. Hyper-reduction for Petrov-Galerkin reduced order models. (English) Zbl 07761298 Comput. Methods Appl. Mech. Eng. 416, Article ID 116298, 32 p. (2023). MSC: 65-XX 90-XX PDFBibTeX XMLCite \textit{S. Ares de Parga} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116298, 32 p. (2023; Zbl 07761298) Full Text: DOI arXiv
Wen, Ziming; Li, Yu; Wang, Hu; Peng, Yong Data-driven spatiotemporal modeling for structural dynamics on irregular domains by stochastic dependency neural estimation. (English) Zbl 07644876 Comput. Methods Appl. Mech. Eng. 404, Article ID 115831, 40 p. (2023). MSC: 92-XX 74-XX PDFBibTeX XMLCite \textit{Z. Wen} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115831, 40 p. (2023; Zbl 07644876) Full Text: DOI
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
Bertrand, Fleurianne; Boffi, Daniele; Halim, Abdul A reduced order model for the finite element approximation of eigenvalue problems. (English) Zbl 07644830 Comput. Methods Appl. Mech. Eng. 404, Article ID 115696, 26 p. (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{F. Bertrand} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115696, 26 p. (2023; Zbl 07644830) Full Text: DOI arXiv
Donoghue, Geoff; Yano, Masayuki A multi-fidelity ensemble Kalman filter with hyperreduced reduced-order models. (English) Zbl 1507.65200 Comput. Methods Appl. Mech. Eng. 398, Article ID 115282, 18 p. (2022). MSC: 65M75 65C05 PDFBibTeX XMLCite \textit{G. Donoghue} and \textit{M. Yano}, Comput. Methods Appl. Mech. Eng. 398, Article ID 115282, 18 p. (2022; Zbl 1507.65200) 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
Cavaliere, F.; Zlotnik, S.; Sevilla, R.; Larrayoz, X.; Díez, P. Nonintrusive parametric solutions in structural dynamics. (English) Zbl 1507.74456 Comput. Methods Appl. Mech. Eng. 389, Article ID 114336, 22 p. (2022). MSC: 74S05 65M60 65M50 70J10 PDFBibTeX XMLCite \textit{F. Cavaliere} et al., Comput. Methods Appl. Mech. Eng. 389, Article ID 114336, 22 p. (2022; Zbl 1507.74456) Full Text: DOI
Khodabakhshi, Parisa; Willcox, Karen E. Non-intrusive data-driven model reduction for differential-algebraic equations derived from lifting transformations. (English) Zbl 1507.65135 Comput. Methods Appl. Mech. Eng. 389, Article ID 114296, 20 p. (2022). MSC: 65L80 PDFBibTeX XMLCite \textit{P. Khodabakhshi} and \textit{K. E. Willcox}, Comput. Methods Appl. Mech. Eng. 389, Article ID 114296, 20 p. (2022; Zbl 1507.65135) 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
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
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
Hernandez, Quercus; Badías, Alberto; González, David; Chinesta, Francisco; Cueto, Elías Deep learning of thermodynamics-aware reduced-order models from data. (English) Zbl 1506.80005 Comput. Methods Appl. Mech. Eng. 379, Article ID 113763, 18 p. (2021). MSC: 80M99 65Q99 80A99 68T05 PDFBibTeX XMLCite \textit{Q. Hernandez} et al., Comput. Methods Appl. Mech. Eng. 379, Article ID 113763, 18 p. (2021; Zbl 1506.80005) Full Text: DOI arXiv Link
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
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
Han, Seongji; Choi, Hee-Sun; Choi, Juhwan; Choi, Jin Hwan; Kim, Jin-Gyun A DNN-based data-driven modeling employing coarse sample data for real-time flexible multibody dynamics simulations. (English) Zbl 1506.65097 Comput. Methods Appl. Mech. Eng. 373, Article ID 113480, 33 p. (2021). MSC: 65L05 70E55 PDFBibTeX XMLCite \textit{S. Han} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113480, 33 p. (2021; Zbl 1506.65097) Full Text: DOI
Jiang, Genghui; Liu, Huayu; Yang, Kai; Gao, Xiaowei A fast reduced-order model for radial integral boundary element method based on proper orthogonal decomposition in nonlinear transient heat conduction problems. (English) Zbl 1506.74012 Comput. Methods Appl. Mech. Eng. 368, Article ID 113190, 15 p. (2020). MSC: 74A15 PDFBibTeX XMLCite \textit{G. Jiang} et al., Comput. Methods Appl. Mech. Eng. 368, Article ID 113190, 15 p. (2020; Zbl 1506.74012) Full Text: DOI
Mack, Julian; Arcucci, Rossella; Molina-Solana, Miguel; Guo, Yi-Ke Attention-based convolutional autoencoders for 3D-variational data assimilation. (English) Zbl 1506.94007 Comput. Methods Appl. Mech. Eng. 372, Article ID 113291, 33 p. (2020). MSC: 94A08 65R10 86-08 PDFBibTeX XMLCite \textit{J. Mack} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113291, 33 p. (2020; Zbl 1506.94007) Full Text: DOI arXiv
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
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
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
Mohammadi, Arash; Raisee, Mehrdad Stochastic field representation using bi-fidelity combination of proper orthogonal decomposition and kriging. (English) Zbl 1442.65114 Comput. Methods Appl. Mech. Eng. 357, Article ID 112589, 31 p. (2019). MSC: 65K99 PDFBibTeX XMLCite \textit{A. Mohammadi} and \textit{M. Raisee}, Comput. Methods Appl. Mech. Eng. 357, Article ID 112589, 31 p. (2019; Zbl 1442.65114) Full Text: DOI
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
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
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
Altaf, M. Umer; McCabe, M. F. A variational approach for parameter estimation based on balanced proper orthogonal decomposition. (English) Zbl 1441.65003 Comput. Methods Appl. Mech. Eng. 344, 694-710 (2019). MSC: 65C20 PDFBibTeX XMLCite \textit{M. U. Altaf} and \textit{M. F. McCabe}, Comput. Methods Appl. Mech. Eng. 344, 694--710 (2019; Zbl 1441.65003) 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
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
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
Bonomi, Diana; Manzoni, Andrea; Quarteroni, Alfio A matrix DEIM technique for model reduction of nonlinear parametrized problems in cardiac mechanics. (English) Zbl 1439.74394 Comput. Methods Appl. Mech. Eng. 324, 300-326 (2017). MSC: 74S05 65N30 74L15 92C10 PDFBibTeX XMLCite \textit{D. Bonomi} et al., Comput. Methods Appl. Mech. Eng. 324, 300--326 (2017; Zbl 1439.74394) Full Text: DOI Link
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
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
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
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
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
Maddison, J. R.; Farrell, P. E. Rapid development and adjoining of transient finite element models. (English) Zbl 1423.76257 Comput. Methods Appl. Mech. Eng. 276, 95-121 (2014). MSC: 76M10 65M60 65Y15 76D05 PDFBibTeX XMLCite \textit{J. R. Maddison} and \textit{P. E. Farrell}, Comput. Methods Appl. Mech. Eng. 276, 95--121 (2014; Zbl 1423.76257) Full Text: DOI Link
Xiao, D.; Fang, F.; Du, J.; Pain, C. C.; Navon, I. M.; Buchan, A. G.; ElSheikh, A. H.; Hu, G. Non-linear Petrov-Galerkin methods for reduced order modelling of the Navier-Stokes equations using a mixed finite element pair. (English) Zbl 1297.76107 Comput. Methods Appl. Mech. Eng. 255, 147-157 (2013). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{D. Xiao} et al., Comput. Methods Appl. Mech. Eng. 255, 147--157 (2013; Zbl 1297.76107) Full Text: DOI
Altaf, M. U.; El Gharamti, M.; Heemink, A. W.; Hoteit, I. A reduced adjoint approach to variational data assimilation. (English) Zbl 1297.93053 Comput. Methods Appl. Mech. Eng. 254, 1-13 (2013). MSC: 93B30 90C52 PDFBibTeX XMLCite \textit{M. U. Altaf} et al., Comput. Methods Appl. Mech. Eng. 254, 1--13 (2013; Zbl 1297.93053) Full Text: DOI
Wang, Zhu; Akhtar, Imran; Borggaard, Jeff; Iliescu, Traian Proper orthogonal decomposition closure models for turbulent flows: a numerical comparison. (English) Zbl 1253.76050 Comput. Methods Appl. Mech. Eng. 237-240, 10-26 (2012). MSC: 76F65 PDFBibTeX XMLCite \textit{Z. Wang} et al., Comput. Methods Appl. Mech. Eng. 237--240, 10--26 (2012; Zbl 1253.76050) Full Text: DOI arXiv
Zokagoa, Jean-Marie; Soulaïmani, Azzeddine A POD-based reduced-order model for free surface shallow water flows over real bathymetries for Monte-Carlo-type applications. (English) Zbl 1253.76070 Comput. Methods Appl. Mech. Eng. 221-222, 1-23 (2012). MSC: 76M12 PDFBibTeX XMLCite \textit{J.-M. Zokagoa} and \textit{A. Soulaïmani}, Comput. Methods Appl. Mech. Eng. 221--222, 1--23 (2012; Zbl 1253.76070) Full Text: DOI