Song, Junpeng; Rui, Hongxing Reduced-order finite element approximation based on POD for the parabolic optimal control problem. (English) Zbl 07806999 Numer. Algorithms 95, No. 3, 1189-1211 (2024). MSC: 65L60 65M60 65N30 PDFBibTeX XMLCite \textit{J. Song} and \textit{H. Rui}, Numer. Algorithms 95, No. 3, 1189--1211 (2024; Zbl 07806999) Full Text: DOI
Zhu, Na; Rui, Hongxing A reduced-order immersed interface method based on POD basis for parabolic interface problem. (English) Zbl 1514.65111 Appl. Math. Lett. 141, Article ID 108618, 8 p. (2023). MSC: 65M06 65F55 PDFBibTeX XMLCite \textit{N. Zhu} and \textit{H. Rui}, Appl. Math. Lett. 141, Article ID 108618, 8 p. (2023; Zbl 1514.65111) Full Text: DOI
Song, Junpeng; Rui, Hongxing A reduced-order characteristic finite element method based on POD for optimal control problem governed by convection-diffusion equation. (English) Zbl 1507.65190 Comput. Methods Appl. Mech. Eng. 391, Article ID 114538, 19 p. (2022). MSC: 65M60 65M12 65M15 76R50 PDFBibTeX XMLCite \textit{J. Song} and \textit{H. Rui}, Comput. Methods Appl. Mech. Eng. 391, Article ID 114538, 19 p. (2022; Zbl 1507.65190) Full Text: DOI
Zhao, Jijing; Rui, Hongxing; Song, Junpeng A reduced-order Weak Galerkin finite element algorithm based on POD technique for parabolic problem on polytopal mesh. (English) Zbl 1524.65632 Appl. Math. Lett. 127, Article ID 107842, 9 p. (2022). MSC: 65M60 65N30 65M15 65N15 65M06 65M99 PDFBibTeX XMLCite \textit{J. Zhao} et al., Appl. Math. Lett. 127, Article ID 107842, 9 p. (2022; Zbl 1524.65632) Full Text: DOI
Song, Junpeng; Rui, Hongxing Numerical simulation for a incompressible miscible displacement problem using a reduced-order finite element method based on POD technique. (English) Zbl 1477.65163 Comput. Geosci. 25, No. 6, 2093-2108 (2021). MSC: 65M60 76S05 76T06 86A05 PDFBibTeX XMLCite \textit{J. Song} and \textit{H. Rui}, Comput. Geosci. 25, No. 6, 2093--2108 (2021; Zbl 1477.65163) Full Text: DOI
Song, Junpeng; Rui, Hongxing A reduced-order finite element method based on POD for the incompressible miscible displacement problem. (English) Zbl 1524.76471 Comput. Math. Appl. 98, 99-117 (2021). MSC: 76S05 76M10 65M60 65N30 65M15 PDFBibTeX XMLCite \textit{J. Song} and \textit{H. Rui}, Comput. Math. Appl. 98, 99--117 (2021; Zbl 1524.76471) Full Text: DOI