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
Guo, Qing; Rui, Hongxing Characteristic methods for thermal convection problems with infinite Prandtl number on nonuniform staggered grids. (English) Zbl 1502.65064 J. Math. Anal. Appl. 509, No. 1, Article ID 125943, 25 p. (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M06 76R50 35K05 80A17 76D07 76M20 80M20 PDFBibTeX XMLCite \textit{Q. Guo} and \textit{H. Rui}, J. Math. Anal. Appl. 509, No. 1, Article ID 125943, 25 p. (2022; Zbl 1502.65064) Full Text: DOI
Li, Xiaoli; Rui, Hongxing Characteristic block-centred finite difference methods for nonlinear convection-dominated diffusion equation. (English) Zbl 1365.65197 Int. J. Comput. Math. 94, No. 2, 386-404 (2017). MSC: 65M06 35K55 65M12 65M15 PDFBibTeX XMLCite \textit{X. Li} and \textit{H. Rui}, Int. J. Comput. Math. 94, No. 2, 386--404 (2017; Zbl 1365.65197) Full Text: DOI
Fu, Hongfei; Rui, Hongxing; Zhou, Zhaojie A posteriori error estimates for optimal control problems constrained by convection-diffusion equations. (English) Zbl 1334.49084 Front. Math. China 11, No. 1, 55-75 (2016). MSC: 49M25 49J20 49K20 65M60 65M25 65M15 PDFBibTeX XMLCite \textit{H. Fu} et al., Front. Math. China 11, No. 1, 55--75 (2016; Zbl 1334.49084) Full Text: DOI
Fu, Hongfei; Rui, Hongxing; Guo, Hui A characteristic finite element method for constrained convection-diffusion-reaction optimal control problems. (English) Zbl 1289.49033 J. Comput. Math. 31, No. 1, 88-106 (2013). MSC: 49M25 65M15 65M25 65M60 PDFBibTeX XMLCite \textit{H. Fu} et al., J. Comput. Math. 31, No. 1, 88--106 (2013; Zbl 1289.49033) Full Text: DOI
Fu, Hongfei; Rui, Hongxing Adaptive characteristic finite element approximation of convection-diffusion optimal control problems. (English) Zbl 06175529 Numer. Methods Partial Differ. Equations 29, No. 3, 979-998 (2013). MSC: 65K10 PDFBibTeX XMLCite \textit{H. Fu} and \textit{H. Rui}, Numer. Methods Partial Differ. Equations 29, No. 3, 979--998 (2013; Zbl 06175529) Full Text: DOI
Fu, Hongfei; Rui, Hongxing A mass-conservative characteristic FE scheme for optimal control problems governed by convection-diffusion equations. (English) Zbl 1353.49041 Comput. Methods Appl. Mech. Eng. 241-244, 82-92 (2012). MSC: 49M25 65N30 35K57 PDFBibTeX XMLCite \textit{H. Fu} and \textit{H. Rui}, Comput. Methods Appl. Mech. Eng. 241--244, 82--92 (2012; Zbl 1353.49041) Full Text: DOI
Wang, Hongmei; Rui, Hongxing; Zhang, Shuai An optimal-order error estimate for the mass-conservative characteristic finite element scheme. (English) Zbl 1246.65182 Appl. Math. Comput. 218, No. 20, 10271-10278 (2012). MSC: 65M60 PDFBibTeX XMLCite \textit{H. Wang} et al., Appl. Math. Comput. 218, No. 20, 10271--10278 (2012; Zbl 1246.65182) Full Text: DOI
Fu, Hongfei; Rui, Hongxing A characteristic-mixed finite element method for time-dependent convection-diffusion optimal control problem. (English) Zbl 1245.65073 Appl. Math. Comput. 218, No. 7, 3430-3440 (2011). Reviewer: Hans Benker (Merseburg) MSC: 65K10 PDFBibTeX XMLCite \textit{H. Fu} and \textit{H. Rui}, Appl. Math. Comput. 218, No. 7, 3430--3440 (2011; Zbl 1245.65073) Full Text: DOI
Rui, Hongxing; Tabata, Masahisa A mass-conservative characteristic finite element scheme for convection-diffusion problems. (English) Zbl 1203.65187 J. Sci. Comput. 43, No. 3, 416-432 (2010). MSC: 65M60 65M25 76M10 PDFBibTeX XMLCite \textit{H. Rui} and \textit{M. Tabata}, J. Sci. Comput. 43, No. 3, 416--432 (2010; Zbl 1203.65187) Full Text: DOI
Rui, Hongxing A conservative characteristic finite volume element method for solution of the advection-diffusion equation. (English) Zbl 1194.76164 Comput. Methods Appl. Mech. Eng. 197, No. 45-48, 3862-3869 (2008). MSC: 76M12 76R99 PDFBibTeX XMLCite \textit{H. Rui}, Comput. Methods Appl. Mech. Eng. 197, No. 45--48, 3862--3869 (2008; Zbl 1194.76164) Full Text: DOI
Rui, Hongxing; Bi, Chunjia Convergence analysis of an upwind finite volume element method with crouzeix-raviart element for non-selfadjoint and indefinite problems. (English) Zbl 1167.65060 Front. Math. China 3, No. 4, 563-579 (2008). Reviewer: Yaşar Sözen (Istanbul) MSC: 65N12 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{H. Rui} and \textit{C. Bi}, Front. Math. China 3, No. 4, 563--579 (2008; Zbl 1167.65060) Full Text: DOI
Rui, H. Convergence of an upwind control-volume mixed finite element method for convection-diffusion problems. (English) Zbl 1165.65065 Computing 81, No. 4, 297-315 (2007). Reviewer: Ziwen Jiang (Shandong) MSC: 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{H. Rui}, Computing 81, No. 4, 297--315 (2007; Zbl 1165.65065) Full Text: DOI
Rui, Hongxing An alternative direction iterative method with second-order upwind scheme for convection-diffusion equations. (English) Zbl 1024.65077 Int. J. Comput. Math. 80, No. 4, 527-533 (2003). Reviewer: Michael Junk (Kaiserslautern) MSC: 65M06 65M12 65M15 35K15 PDFBibTeX XMLCite \textit{H. Rui}, Int. J. Comput. Math. 80, No. 4, 527--533 (2003; Zbl 1024.65077) Full Text: DOI
Rui, Hongxing; Tabata, Masahisa A second order characteristic finite element scheme for convection-diffusion problems. (English) Zbl 1005.65114 Numer. Math. 92, No. 1, 161-177 (2002). Reviewer: J.Vaníček (Praha) MSC: 65M60 65M12 65M15 35K15 65M25 PDFBibTeX XMLCite \textit{H. Rui} and \textit{M. Tabata}, Numer. Math. 92, No. 1, 161--177 (2002; Zbl 1005.65114) Full Text: DOI
Rui, Hongxing; Yang, Danping Multiplicative Schwarz algorithm with time stepping along characteristic for convection diffusion equations. (English) Zbl 1008.65072 J. Comput. Math. 19, No. 5, 501-510 (2001). MSC: 65M55 35K15 65M12 65M15 65M60 PDFBibTeX XMLCite \textit{H. Rui} and \textit{D. Yang}, J. Comput. Math. 19, No. 5, 501--510 (2001; Zbl 1008.65072)
Liang, Dong; Rui, Hongxing; Cheng, Aijie Upwind splitting scheme for convection-diffusion equations. (English) Zbl 0960.65114 Numer. Math., J. Chin. Univ. 9, No. 1, 45-54 (2000). Reviewer: Marek Brandner (Plzeň) MSC: 65N06 65N12 35J25 PDFBibTeX XMLCite \textit{D. Liang} et al., Numer. Math., J. Chin. Univ. 9, No. 1, 45--54 (2000; Zbl 0960.65114)
Rui, Hongxing A kind of characteristic-splitting method for convection-dominated parabolic equations. (English) Zbl 0930.65092 Int. J. Comput. Math. 71, No. 3, 359-367 (1999). Reviewer: Qin Mengzhao (Beijing) MSC: 65M06 65Y05 65M12 65M15 35K15 PDFBibTeX XMLCite \textit{H. Rui}, Int. J. Comput. Math. 71, No. 3, 359--367 (1999; Zbl 0930.65092) Full Text: DOI
Rui, Hongxing Domain decomposition parallel algorithms with difference along characteristic for convection diffusion equations. (English) Zbl 0911.65083 J. Shandong Univ., Nat. Sci. Ed. 33, No. 2, 121-127 (1998). Reviewer: Zongyi Hou MSC: 65M55 35K15 65M15 65Y05 PDFBibTeX XMLCite \textit{H. Rui}, J. Shandong Univ., Nat. Sci. Ed. 33, No. 2, 121--127 (1998; Zbl 0911.65083)