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
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
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
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
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
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
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
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
Dehghan, Mehdi; Abbaszadeh, Mostafa An upwind local radial basis functions-differential quadrature (RBF-DQ) method with proper orthogonal decomposition (POD) approach for solving compressible Euler equation. (English) Zbl 1403.65109 Eng. Anal. Bound. Elem. 92, 244-256 (2018). MSC: 65M99 35Q31 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Eng. Anal. Bound. Elem. 92, 244--256 (2018; Zbl 1403.65109) Full Text: DOI
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
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
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
Buchan, A. G.; Calloo, A. A.; Goffin, M. G.; Dargaville, S.; Fang, F.; Pain, C. C.; Navon, I. M. A POD reduced order model for resolving angular direction in neutron/photon transport problems. (English) Zbl 1352.82030 J. Comput. Phys. 296, 138-157 (2015). MSC: 82D75 82C80 35Q20 45K05 65N30 PDFBibTeX XMLCite \textit{A. G. Buchan} et al., J. Comput. Phys. 296, 138--157 (2015; Zbl 1352.82030) Full Text: DOI
Bistrian, Diana A. A solution of the parabolized Navier-Stokes stability model in discrete space by two-directional differential quadrature and application to swirl intense flows. (English) Zbl 1369.76035 Comput. Math. Appl. 68, No. 3, 197-211 (2014). MSC: 76M25 76E09 PDFBibTeX XMLCite \textit{D. A. Bistrian}, Comput. Math. Appl. 68, No. 3, 197--211 (2014; Zbl 1369.76035) Full Text: DOI
Balajewicz, Maciej; Farhat, Charbel Reduction of nonlinear embedded boundary models for problems with evolving interfaces. (English) Zbl 1352.65322 J. Comput. Phys. 274, 489-504 (2014). MSC: 65M50 PDFBibTeX XMLCite \textit{M. Balajewicz} and \textit{C. Farhat}, J. Comput. Phys. 274, 489--504 (2014; Zbl 1352.65322) Full Text: DOI arXiv
Xiao, D.; Fang, F.; Buchan, A. G.; Pain, C. C.; Navon, I. M.; Du, J.; Hu, G. Nonlinear model reduction for the Navier-Stokes equations using residual DEIM method. (English) Zbl 1349.76288 J. Comput. Phys. 263, 1-18 (2014). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{D. Xiao} et al., J. Comput. Phys. 263, 1--18 (2014; Zbl 1349.76288) Full Text: DOI
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