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.; 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
Du, Juan; Navon, I. M.; Zhu, Jiang; Fang, Fangxin; Alekseev, A. K. Reduced order modeling based on POD of a parabolized Navier-Stokes equations model II: trust region POD 4D VAR data assimilation. (English) Zbl 1319.76030 Comput. Math. Appl. 65, No. 3, 380-394 (2013). MSC: 76M20 65M32 65M06 76D05 PDFBibTeX XMLCite \textit{J. Du} et al., Comput. Math. Appl. 65, No. 3, 380--394 (2013; Zbl 1319.76030) Full Text: DOI
Du, J.; Fang, F.; Pain, C. C.; Navon, I. M.; Zhu, J.; Ham, D. A. POD reduced-order unstructured mesh modeling applied to 2D and 3D fluid flow. (English) Zbl 1319.76026 Comput. Math. Appl. 65, No. 3, 362-379 (2013). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{J. Du} et al., Comput. Math. Appl. 65, No. 3, 362--379 (2013; Zbl 1319.76026) 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
Fang, F.; Pain, C. C.; Navon, I. M.; Elsheikh, A. H.; Du, J.; Xiao, D. Non-linear Petrov-Galerkin methods for reduced order hyperbolic equations and discontinuous finite element methods. (English) Zbl 1284.65132 J. Comput. Phys. 234, 540-559 (2013). MSC: 65M60 35L02 PDFBibTeX XMLCite \textit{F. Fang} et al., J. Comput. Phys. 234, 540--559 (2013; Zbl 1284.65132) Full Text: DOI