Xie, Manting; Xie, Hehu; Liu, Xuefeng Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements. (English) Zbl 1450.65143 Japan J. Ind. Appl. Math. 35, No. 1, 335-354 (2018). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N25 65N30 65L15 76D07 PDFBibTeX XMLCite \textit{M. Xie} et al., Japan J. Ind. Appl. Math. 35, No. 1, 335--354 (2018; Zbl 1450.65143) Full Text: DOI
Lin, Qun; Luo, Fusheng; Xie, Hehu A multilevel correction method for Stokes eigenvalue problems and its applications. (English) Zbl 1382.65373 Math. Methods Appl. Sci. 38, No. 18, 4540-4552 (2015). MSC: 65N25 65N30 65L15 PDFBibTeX XMLCite \textit{Q. Lin} et al., Math. Methods Appl. Sci. 38, No. 18, 4540--4552 (2015; Zbl 1382.65373) Full Text: DOI
Xie, Hehu A type of multi-level correction scheme for eigenvalue problems by nonconforming finite element methods. (English) Zbl 1333.65135 BIT 55, No. 4, 1243-1266 (2015). Reviewer: Pavel Burda (Praha) MSC: 65N30 65N25 65L15 65B99 PDFBibTeX XMLCite \textit{H. Xie}, BIT 55, No. 4, 1243--1266 (2015; Zbl 1333.65135) Full Text: DOI
Xie, Hehu; Yin, Xiaobo Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem. (English) Zbl 1330.76080 Adv. Comput. Math. 41, No. 4, 799-812 (2015). MSC: 76M10 65N30 65N12 65N25 76D07 PDFBibTeX XMLCite \textit{H. Xie} and \textit{X. Yin}, Adv. Comput. Math. 41, No. 4, 799--812 (2015; Zbl 1330.76080) Full Text: DOI
Feng, Xinlong; Weng, Zhifeng; Xie, Hehu Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem. (English) Zbl 1340.65257 Appl. Math., Praha 59, No. 6, 615-630 (2014). MSC: 65N25 65N30 65N12 76D07 76M10 65N55 65N15 PDFBibTeX XMLCite \textit{X. Feng} et al., Appl. Math., Praha 59, No. 6, 615--630 (2014; Zbl 1340.65257) Full Text: DOI Link
Jia, Shang Hui; Luo, Fu Sheng; Xie, He Hu A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem. (English) Zbl 1291.65344 Acta Math. Sin., Engl. Ser. 30, No. 6, 949-967 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65N30 65N25 65N15 PDFBibTeX XMLCite \textit{S. H. Jia} et al., Acta Math. Sin., Engl. Ser. 30, No. 6, 949--967 (2014; Zbl 1291.65344) Full Text: DOI
Lin, Qun; Xie, Hehu; Xu, Jinchao Lower bounds of the discretization error for piecewise polynomials. (English) Zbl 1280.65118 Math. Comput. 83, No. 285, 1-13 (2014). Reviewer: Jan Lovíšek (Bratislava) MSC: 65N15 65N30 65N25 35J57 35J58 35P15 PDFBibTeX XMLCite \textit{Q. Lin} et al., Math. Comput. 83, No. 285, 1--13 (2014; Zbl 1280.65118) Full Text: DOI arXiv
Li, Qin; Lin, Qun; Xie, Hehu Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations. (English) Zbl 1274.65296 Appl. Math., Praha 58, No. 2, 129-151 (2013). Reviewer: Michal Krizek MSC: 65N25 65N30 35P15 35P10 65N12 PDFBibTeX XMLCite \textit{Q. Li} et al., Appl. Math., Praha 58, No. 2, 129--151 (2013; Zbl 1274.65296) Full Text: DOI Link
Jia, ShangHui; Chen, HongTao; Xie, HeHu A posteriori error estimator for eigenvalue problems by mixed finite element method. (English) Zbl 1264.65192 Sci. China, Math. 56, No. 5, 887-900 (2013). MSC: 65N30 65N25 65L15 65B99 PDFBibTeX XMLCite \textit{S. Jia} et al., Sci. China, Math. 56, No. 5, 887--900 (2013; Zbl 1264.65192) Full Text: DOI
Ahmed, N.; Matthies, G.; Tobiska, L.; Xie, H. Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems. (English) Zbl 1228.76078 Comput. Methods Appl. Mech. Eng. 200, No. 21-22, 1747-1756 (2011). MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{N. Ahmed} et al., Comput. Methods Appl. Mech. Eng. 200, No. 21--22, 1747--1756 (2011; Zbl 1228.76078) Full Text: DOI
Eichel, Hagen; Tobiska, Lutz; Xie, Hehu Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes problem. (English) Zbl 1410.76168 Math. Comput. 80, No. 274, 697-722 (2011). MSC: 76M10 65N30 76D07 PDFBibTeX XMLCite \textit{H. Eichel} et al., Math. Comput. 80, No. 274, 697--722 (2011; Zbl 1410.76168) Full Text: DOI
Chen, Hongtao; Jia, Shanghui; Xie, Hehu Postprocessing and higher order convergence for the mixed finite element approximations of the eigenvalue problem. (English) Zbl 1209.65126 Appl. Numer. Math. 61, No. 4, 615-629 (2011). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N25 65N12 35P15 65N30 PDFBibTeX XMLCite \textit{H. Chen} et al., Appl. Numer. Math. 61, No. 4, 615--629 (2011; Zbl 1209.65126) Full Text: DOI
Chen, Hongtao; Jia, Shanghui; Xie, Hehu Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems. (English) Zbl 1212.65431 Appl. Math., Praha 54, No. 3, 237-250 (2009). MSC: 65N25 65N30 35P15 65N12 PDFBibTeX XMLCite \textit{H. Chen} et al., Appl. Math., Praha 54, No. 3, 237--250 (2009; Zbl 1212.65431) Full Text: DOI EuDML Link
Jia, Shanghui; Xie, Hehu; Yin, Xiaobo; Gao, Shaoqin Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods. (English) Zbl 1212.65434 Appl. Math., Praha 54, No. 1, 1-15 (2009). MSC: 65N25 65N30 35Q30 35P15 65N12 65N15 PDFBibTeX XMLCite \textit{S. Jia} et al., Appl. Math., Praha 54, No. 1, 1--15 (2009; Zbl 1212.65434) Full Text: DOI EuDML Link
Lin, Qun; Xie, Hehu Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method. (English) Zbl 1201.65202 Appl. Numer. Math. 59, No. 8, 1884-1893 (2009). Reviewer: M. Plum (Karlsruhe) MSC: 65N25 65N30 65L15 65B99 PDFBibTeX XMLCite \textit{Q. Lin} and \textit{H. Xie}, Appl. Numer. Math. 59, No. 8, 1884--1893 (2009; Zbl 1201.65202) Full Text: DOI
Xie, Hehu Extrapolation of the Nédélec element for the Maxwell equations by the mixed finite element method. (English) Zbl 1166.78008 Adv. Comput. Math. 29, No. 2, 135-145 (2008). Reviewer: Gunther Schmidt (Berlin) MSC: 78M10 65N30 65N15 PDFBibTeX XMLCite \textit{H. Xie}, Adv. Comput. Math. 29, No. 2, 135--145 (2008; Zbl 1166.78008) Full Text: DOI
Yin, Xiaobo; Xie, Hehu; Jia, Shanghui; Gao, Shaoqin Asymptotic expansions and extrapolations of eigenvalues for the Stokes problem by mixed finite element methods. (English) Zbl 1149.65090 J. Comput. Appl. Math. 215, No. 1, 127-141 (2008). Reviewer: Raytcho D. Lazarov (College Station) MSC: 65N25 65N30 35Q30 35P15 65N15 PDFBibTeX XMLCite \textit{X. Yin} et al., J. Comput. Appl. Math. 215, No. 1, 127--141 (2008; Zbl 1149.65090) Full Text: DOI