Jamnongpipatkul, A.; Sevenois, R. D. B.; Desmet, W.; Naets, F.; Gilabert, F. A. POD-based reduced order model for the prediction of global and local elastic responses of fibre-reinforced polymer considering varying fibre distribution. (English) Zbl 1519.74068 Comput. Mech. 71, No. 5, 1041-1064 (2023). MSC: 74S05 74E30 74M25 74Q99 PDFBibTeX XMLCite \textit{A. Jamnongpipatkul} et al., Comput. Mech. 71, No. 5, 1041--1064 (2023; Zbl 1519.74068) 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
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
Krah, Philipp; Engels, Thomas; Schneider, Kai; Reiss, Julius Wavelet adaptive proper orthogonal decomposition for large-scale flow data. (English) Zbl 07506435 Adv. Comput. Math. 48, No. 2, Paper No. 10, 40 p. (2022). MSC: 65Mxx PDFBibTeX XMLCite \textit{P. Krah} et al., Adv. Comput. Math. 48, No. 2, Paper No. 10, 40 p. (2022; Zbl 07506435) 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
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
Gräßle, Carmen; Hinze, Michael POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations. (English) Zbl 1404.65264 Adv. Comput. Math. 44, No. 6, 1941-1978 (2018). MSC: 65N30 35K90 65K05 35K05 35K55 PDFBibTeX XMLCite \textit{C. Gräßle} and \textit{M. Hinze}, Adv. Comput. Math. 44, No. 6, 1941--1978 (2018; Zbl 1404.65264) Full Text: DOI arXiv
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
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
Ardjmandpour, N.; Pain, C. C.; Fang, F.; Buchan, A. G.; Singer, J.; Player, M. A.; Xu, Xu; Navon, I. M.; Carter, J. Reduced order borehole induction modelling. (English) Zbl 07512419 Int. J. Comput. Fluid Dyn. 28, No. 3-4, 140-157 (2014). MSC: 78-XX 65-XX PDFBibTeX XMLCite \textit{N. Ardjmandpour} et al., Int. J. Comput. Fluid Dyn. 28, No. 3--4, 140--157 (2014; Zbl 07512419) 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
Chen, X.; Akella, S.; Navon, I. M. A dual-weighted trust-region adaptive POD 4-D var applied to a finite-volume shallow water equations model on the sphere. (English) Zbl 1426.76347 Int. J. Numer. Methods Fluids 68, No. 3, 377-402 (2012). MSC: 76M12 76U05 86A05 PDFBibTeX XMLCite \textit{X. Chen} et al., Int. J. Numer. Methods Fluids 68, No. 3, 377--402 (2012; Zbl 1426.76347) Full Text: DOI
Artana, G.; Cammilleri, A.; Carlier, J.; Mémin, E. Strong and weak constraint variational assimilations for reduced order fluid flow modeling. (English) Zbl 1401.76060 J. Comput. Phys. 231, No. 8, 3264-3288 (2012). MSC: 76D55 76D05 76M25 76D25 PDFBibTeX XMLCite \textit{G. Artana} et al., J. Comput. Phys. 231, No. 8, 3264--3288 (2012; Zbl 1401.76060) Full Text: DOI
Fang, F.; Pain, C. C.; Navon, I. M.; Gorman, G. J.; Piggott, M. D.; Allison, P. A. The independent set perturbation adjoint method: a new method of differentiating mesh-based fluids models. (English) Zbl 1285.76015 Int. J. Numer. Methods Fluids 66, No. 8, 976-999 (2011). MSC: 76M10 65M99 PDFBibTeX XMLCite \textit{F. Fang} et al., Int. J. Numer. Methods Fluids 66, No. 8, 976--999 (2011; Zbl 1285.76015) Full Text: DOI
Chen, X.; Navon, I. M.; Fang, F. A dual-weighted trust-region adaptive POD 4D-VAR applied to a finite-element shallow-water equations model. (English) Zbl 1428.76145 Int. J. Numer. Methods Fluids 65, No. 5, 520-541 (2011). MSC: 76M21 76M10 35Q35 PDFBibTeX XMLCite \textit{X. Chen} et al., Int. J. Numer. Methods Fluids 65, No. 5, 520--541 (2011; Zbl 1428.76145) Full Text: DOI
Fang, F.; Pain, C. C.; Navon, I. M.; Gorman, G. J.; Piggott, M. D.; Allison, P. A.; Goddard, A. J. H. A POD goal-oriented error measure for mesh optimization. (English) Zbl 1425.65096 Int. J. Numer. Methods Fluids 63, No. 2, 185-206 (2010). MSC: 65M15 65M50 86A05 PDFBibTeX XMLCite \textit{F. Fang} et al., Int. J. Numer. Methods Fluids 63, No. 2, 185--206 (2010; Zbl 1425.65096) Full Text: DOI
Fang, F.; Pain, C. C.; Navon, I. M.; Piggott, M. D.; Gorman, G. J.; Farrell, P. E.; Allison, P. A.; Goddard, A. J. H. A POD reduced-order 4D-Var adaptive mesh ocean modelling approach. (English) Zbl 1163.86002 Int. J. Numer. Methods Fluids 60, No. 7, 709-732 (2009). MSC: 86A05 76M10 PDFBibTeX XMLCite \textit{F. Fang} et al., Int. J. Numer. Methods Fluids 60, No. 7, 709--732 (2009; Zbl 1163.86002) Full Text: DOI