Xiao, D.; Fang, F.; Pain, C.; Hu, G. Non-intrusive reduced-order modelling of the Navier-Stokes equations based on RBF interpolation. (English) Zbl 1455.76099 Int. J. Numer. Methods Fluids 79, No. 11, 580-595 (2015). MSC: 76M10 76D05 65M60 PDFBibTeX XMLCite \textit{D. Xiao} et al., Int. J. Numer. Methods Fluids 79, No. 11, 580--595 (2015; Zbl 1455.76099) Full Text: DOI
Hossen, M. J.; Navon, I. M.; Fang, F. A penalized four-dimensional variational data assimilation method for reducing forecast error related to adaptive observations. (English) Zbl 1412.86004 Int. J. Numer. Methods Fluids 70, No. 10, 1207-1220 (2012). MSC: 86A10 65N08 76M12 PDFBibTeX XMLCite \textit{M. J. Hossen} et al., Int. J. Numer. Methods Fluids 70, No. 10, 1207--1220 (2012; Zbl 1412.86004) 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
Fang, F.; Pain, C. C.; Navon, I. M.; Piggott, M. D.; Gorman, G. J.; Allison, P. A.; Goddard, A. J. H. Reduced-order modelling of an adaptive mesh ocean model. (English) Zbl 1155.86004 Int. J. Numer. Methods Fluids 59, No. 8, 827-851 (2009). MSC: 86A05 PDFBibTeX XMLCite \textit{F. Fang} et al., Int. J. Numer. Methods Fluids 59, No. 8, 827--851 (2009; Zbl 1155.86004) Full Text: DOI
Fang, F.; Pain, C. C.; Piggott, M. D.; Gorman, G. J.; Goddard, A. J. H. An adaptive mesh adjoint data assimilation method applied to free surface flows. (English) Zbl 1134.86004 Int. J. Numer. Methods Fluids 47, No. 8-9, 995-1001 (2005). MSC: 86-08 86A05 PDFBibTeX XMLCite \textit{F. Fang} et al., Int. J. Numer. Methods Fluids 47, No. 8--9, 995--1001 (2005; Zbl 1134.86004) Full Text: DOI