Liu, Jinghong; Li, Qiyong; Xiong, Zhiguang; Zhu, Qiding \(L^\infty\)- and \(L^2\)-norms superconvergence of the tetrahedral quadratic finite element. (English) Zbl 07750307 Comput. Math. Appl. 149, 71-74 (2023). MSC: 65N30 65N12 35J25 65N15 35J05 PDFBibTeX XMLCite \textit{J. Liu} et al., Comput. Math. Appl. 149, 71--74 (2023; Zbl 07750307) Full Text: DOI
He, Wen-Ming; Cui, Jun-Zhi; Zhu, Qi-Ding The local superconvergence of the quadratic triangular element for the Poisson problem in a polygonal domain. (English) Zbl 1407.65261 Numer. Methods Partial Differ. Equations 30, No. 6, 1854-1876 (2014). MSC: 65N30 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{W.-M. He} et al., Numer. Methods Partial Differ. Equations 30, No. 6, 1854--1876 (2014; Zbl 1407.65261) Full Text: DOI
Liu, Jinghong; Hu, Gui; Zhu, Qiding Superconvergence of tetrahedral quadratic finite elements for a variable coefficient elliptic equation. (English) Zbl 1307.65146 Numer. Methods Partial Differ. Equations 29, No. 3, 1043-1055 (2013). Reviewer: Yaşar Sözen (Ankara) MSC: 65N12 65N30 35J25 65N15 PDFBibTeX XMLCite \textit{J. Liu} et al., Numer. Methods Partial Differ. Equations 29, No. 3, 1043--1055 (2013; Zbl 1307.65146) Full Text: DOI
Liu, Jinghong; Deng, Yijun; Zhu, Qiding High accuracy analysis of tensor-product linear pentahedral finite elements for variable coefficient elliptic equations. (English) Zbl 1306.65268 J. Syst. Sci. Complex. 25, No. 2, 410-416 (2012). MSC: 65N15 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Syst. Sci. Complex. 25, No. 2, 410--416 (2012; Zbl 1306.65268) Full Text: DOI
Liu, Jinghong; Zhu, Qiding Pointwise supercloseness of pentahedral finite elements. (English) Zbl 1204.65135 Numer. Methods Partial Differ. Equations 26, No. 6, 1572-1580 (2010). Reviewer: Jan Lovíšek (Bratislava) MSC: 65N30 65N15 35J05 65N12 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Q. Zhu}, Numer. Methods Partial Differ. Equations 26, No. 6, 1572--1580 (2010; Zbl 1204.65135) Full Text: DOI
Liu, JingHong; Sun, HaiNa; Zhu, QiDing Superconvergence of tricubic block finite elements. (English) Zbl 1183.65145 Sci. China, Ser. A 52, No. 5, 959-972 (2009). Reviewer: Ivan Secrieru (Chişinău) MSC: 65N30 65N15 65D05 PDFBibTeX XMLCite \textit{J. Liu} et al., Sci. China, Ser. A 52, No. 5, 959--972 (2009; Zbl 1183.65145) Full Text: DOI
Wei, Jidong; Zhu, Qiding A posteriori error estimate based on super-convergence post-processing. (Chinese. English summary) Zbl 1199.65372 J. Hunan City Univ., Nat. Sci. 17, No. 1, 38-40 (2008). MSC: 65N15 65N12 65N30 35J25 PDFBibTeX XMLCite \textit{J. Wei} and \textit{Q. Zhu}, J. Hunan City Univ., Nat. Sci. 17, No. 1, 38--40 (2008; Zbl 1199.65372)
Liu, Xiaoqi; Zhu, Qiding; Chen, Hongbin Multi-scale finite element methods for heat equation in two dimensional honeycomb structure. (Chinese. English summary) Zbl 1174.65490 J. Syst. Sci. Math. Sci. 28, No. 4, 385-399 (2008). MSC: 65M60 65M12 65M15 35B27 35K05 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Syst. Sci. Math. Sci. 28, No. 4, 385--399 (2008; Zbl 1174.65490)
Meng, Lingxiong; Zhu, Qiding The ultraconvergence of derivative for bicubic finite element. (English) Zbl 1173.65358 Comput. Methods Appl. Mech. Eng. 196, No. 37-40, 3771-3778 (2007). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{L. Meng} and \textit{Q. Zhu}, Comput. Methods Appl. Mech. Eng. 196, No. 37--40, 3771--3778 (2007; Zbl 1173.65358) Full Text: DOI
Liu, Jinghong; Zhu, Qiding Maximum-norm superapproximation of the gradient for the trilinear block finite element. (English) Zbl 1138.65102 Numer. Methods Partial Differ. Equations 23, No. 6, 1501-1508 (2007). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N30 35J05 65N15 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Q. Zhu}, Numer. Methods Partial Differ. Equations 23, No. 6, 1501--1508 (2007; Zbl 1138.65102) Full Text: DOI
Liu, Jinghong; Zhu, Qiding Maximum-norm superapproach of the gradient for quadratic finite elements in three dimensions. (Chinese. English summary) Zbl 1154.65371 Acta Math. Sci., Ser. A, Chin. Ed. 26, No. 3, 458-466 (2006). MSC: 65N15 35J05 65N12 65N30 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Q. Zhu}, Acta Math. Sci., Ser. A, Chin. Ed. 26, No. 3, 458--466 (2006; Zbl 1154.65371)
Zhu, Qiding; Lai, Jungjiang An ultraconvergence correction scheme for finite element method of the two-point boundary value problem with general coefficients. (Chinese. English summary) Zbl 1115.65350 Acta Math. Sci., Ser. A, Chin. Ed. 26, No. 6, 847-857 (2006). MSC: 65L20 65L80 65L10 34B05 65L70 PDFBibTeX XMLCite \textit{Q. Zhu} and \textit{J. Lai}, Acta Math. Sci., Ser. A, Chin. Ed. 26, No. 6, 847--857 (2006; Zbl 1115.65350)
Yi, Lijun; Zhu, Qiding The anisotropy of the two-dimensional projection interpolation. (Chinese. English summary) Zbl 1115.65377 J. Hunan Univ. Arts Sci., Nat. Sci. 18, No. 3, 12-14 (2006). MSC: 65N30 65N15 35J05 PDFBibTeX XMLCite \textit{L. Yi} and \textit{Q. Zhu}, J. Hunan Univ. Arts Sci., Nat. Sci. 18, No. 3, 12--14 (2006; Zbl 1115.65377)
Liu, Jinghong; Zhu, Qiding Maximum-norm superapproximation of the gradient for the tensor-product quadratic rectangular parallelepiped finite element. (English. Chinese original) Zbl 1099.65545 Chin. J. Numer. Math. Appl. 27, No. 4, 57-67 (2005); translation from Math. Numer. Sin. 27, No. 3, 267-276 (2005). MSC: 65N15 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Q. Zhu}, Chin. J. Numer. Math. Appl. 27, No. 4, 57--67 (2005; Zbl 1099.65545); translation from Math. Numer. Sin. 27, No. 3, 267--276 (2005)
Liu, Jinghong; Zhu, Qiding Uniform superapproximation of the derivative of tetrahedral quadratic finite element approximation. (English) Zbl 1071.65143 J. Comput. Math. 23, No. 1, 75-82 (2005). Reviewer: Evgenij D’yakonov (Moskva) MSC: 65N15 65N30 35J05 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Q. Zhu}, J. Comput. Math. 23, No. 1, 75--82 (2005; Zbl 1071.65143)
Liu, Jinghong; Zhu, Qiding Estimate for the seminorm of discrete derivative Green’s function in three dimensions. (Chinese. English summary) Zbl 1134.35344 J. Hunan Univ. Arts Sci., Nat. Sci. 16, No. 4, 1-3, 5 (2004). MSC: 35J60 65N15 35J25 65N12 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Q. Zhu}, J. Hunan Univ. Arts Sci., Nat. Sci. 16, No. 4, 1--3, 5 (2004; Zbl 1134.35344)
Zhu, Qiding; Zhao, Qinghua SPR technique and finite element correction. (English) Zbl 1053.65060 Numer. Math. 96, No. 1, 185-196 (2003). Reviewer: J. D. P. Donnelly (Oxford) MSC: 65L60 65L10 65L70 34B15 PDFBibTeX XMLCite \textit{Q. Zhu} and \textit{Q. Zhao}, Numer. Math. 96, No. 1, 185--196 (2003; Zbl 1053.65060) Full Text: DOI
He, Wen Ming; Cui, Jun Zhi; Zhu, Qi Ding An improved method for superconvergence and extrapolation. (Chinese. English summary) Zbl 1495.65196 Math. Numer. Sin. 24, No. 3, 327-334 (2002). MSC: 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{W. M. He} et al., Math. Numer. Sin. 24, No. 3, 327--334 (2002; Zbl 1495.65196)
Tang, Li; Zhu, Qiding; Yang, Wensheng Analysis of partition for expansion and extrapolation of general bilinear finite elements. (Chinese. English summary) Zbl 1042.65086 J. Yueyang Norm. Univ., Nat. Sci. 15, No. 2, 5-9 (2002). MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{L. Tang} et al., J. Yueyang Norm. Univ., Nat. Sci. 15, No. 2, 5--9 (2002; Zbl 1042.65086)
Sun, Zhizhong; Zhu, Qiding On Tsertvadze’s difference scheme for the Kuramoto-Tsuzuki equation. (English) Zbl 0933.65104 J. Comput. Appl. Math. 98, No. 2, 289-304 (1998). Reviewer: Thomas Sonar (Braunschweig) MSC: 65M06 65M12 65M15 35Q53 PDFBibTeX XMLCite \textit{Z. Sun} and \textit{Q. Zhu}, J. Comput. Appl. Math. 98, No. 2, 289--304 (1998; Zbl 0933.65104) Full Text: DOI
Zhu, Q. D.; Lin, Q. Subconvergence of finite elements and a self-adaptive algorithm. (English) Zbl 0861.65090 J. Comput. Math. 14, No. 4, 336-344 (1996). Reviewer: U.Langer (Linz) MSC: 65N15 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{Q. D. Zhu} and \textit{Q. Lin}, J. Comput. Math. 14, No. 4, 336--344 (1996; Zbl 0861.65090)
Zhu, Qi-Ding The superconvergence and postprocessing for the finite element method. (English) Zbl 0963.65530 Proceedings of the Prague mathematical conference 1996, PMC ’96, Prague, Czech Republic, July 8-12, 1996. In honor of the 70th birthdays of Ivo Babuška, Miroslav Fiedler, Jaroslav Kurzweil, and Vlastimil Pták. Prague: Icaris Ltd. 371-376 (1996). MSC: 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{Q.-D. Zhu}, in: Proceedings of the Prague mathematical conference 1996, PMC '96, Prague, Czech Republic, July 8--12, 1996. In honor of the 70th birthdays of Ivo Babuška, Miroslav Fiedler, Jaroslav Kurzweil, and Vlastimil Pták. Prague: Icaris Ltd.. 371--376 (1996; Zbl 0963.65530)
Cao, Liqun; Zhu, Qiding Self-adaptive treatment for FEM singular boundary value problems. (Chinese. English summary) Zbl 0850.65218 Math. Numer. Sin. 15, No. 3, 364-372 (1993). MSC: 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{L. Cao} and \textit{Q. Zhu}, Math. Numer. Sin. 15, No. 3, 364--372 (1993; Zbl 0850.65218)
Zhu, Qiding; Lin, Qun Asymptotically exact a posteriori error and local superconvergence for the finite element method. (Chinese. English summary) Zbl 0850.65204 Math. Numer. Sin. 15, No. 2, 219-224 (1993). MSC: 65N15 65N30 65N12 PDFBibTeX XMLCite \textit{Q. Zhu} and \textit{Q. Lin}, Math. Numer. Sin. 15, No. 2, 219--224 (1993; Zbl 0850.65204)
Cao, Liqun; Zhu, Qiding Asymptotically exact a-posteriori error estimators for the quadratic triangular element in sense of point to point. (Chinese. English summary) Zbl 0756.65128 Nat. Sci. J. Xiangtan Univ. 13, No. 4, 1-3 (1991). Reviewer: S.Jiang (Bonn) MSC: 65N30 65N15 35J20 PDFBibTeX XMLCite \textit{L. Cao} and \textit{Q. Zhu}, Nat. Sci. J. Xiangtan Univ. 13, No. 4, 1--3 (1991; Zbl 0756.65128)
Zhu, Qiding; Chen, Hongsen High accuracy error analysis of the linear finite element method for general boundary value problems. (Chinese. English summary) Zbl 0703.65062 Nat. Sci. J. Xiangtan Univ. 10, No. 4, 1-10 (1988). MSC: 65N30 65N15 65N12 35J25 PDFBibTeX XMLCite \textit{Q. Zhu} and \textit{H. Chen}, Nat. Sci. J. Xiangtan Univ. 10, No. 4, 1--10 (1988; Zbl 0703.65062)
Zhu, Qiding Local estimates for the finite element method. (Chinese. English summary) Zbl 0666.65075 Sci. Explor. 7, No. 1, 189-196 (1987). MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{Q. Zhu}, Sci. Explor. 7, No. 1, 189--196 (1987; Zbl 0666.65075)
Zhu, Qiding Some \(L^{\infty}\) estimates and interior superconvergence estimates for piecewise linear finite element approximations. (Chinese. English summary) Zbl 0622.65094 Nat. Sci. J. Xiangtan Univ. 1987, No. 1, 9-24 (1987). MSC: 65N30 65N15 35J05 PDFBibTeX XMLCite \textit{Q. Zhu}, Nat. Sci. J. Xiangtan Univ. 1987, No. 1, 9--24 (1987; Zbl 0622.65094)
Lin, Qun; Zhu, Qiding Local asymptotic expansion and extrapolation for finite elements. (English) Zbl 0626.65111 J. Comput. Math. 4, 263-265 (1986). Reviewer: E.D’yakonov MSC: 65N30 65N15 35J05 PDFBibTeX XMLCite \textit{Q. Lin} and \textit{Q. Zhu}, J. Comput. Math. 4, 263--265 (1986; Zbl 0626.65111)
Zhu, Qiding Uniform superconvergence estimates for the finite element method. (Chinese. English summary) Zbl 0618.65092 Nat. Sci. J. Xiangtan Univ. 1985, No. 2, 10-26 (1985). MSC: 65N30 65N15 35J05 PDFBibTeX XMLCite \textit{Q. Zhu}, Nat. Sci. J. Xiangtan Univ. 1985, No. 2, 10--26 (1985; Zbl 0618.65092)
Lin, Qun; Zhu, Qiding Asymptotic expansion for the derivative of finite elements. (English) Zbl 0563.65069 J. Comput. Math. 2, 361-363 (1984). Reviewer: H.-D.Mittelmann MSC: 65N30 65N15 35J05 PDFBibTeX XMLCite \textit{Q. Lin} and \textit{Q. Zhu}, J. Comput. Math. 2, 361--363 (1984; Zbl 0563.65069)
Zhu, Qiding Natural inner superconvergence for the finite element method. (English) Zbl 0611.65074 Finite element methods, Proc. China-France Symp., Beijing/China 1982, 935-960 (1983). MSC: 65N30 65N15 35J25 PDFBibTeX XML
Zhu, Qiding \(L^ p\) estimates of finite element approximations. (Chinese. English summary) Zbl 0572.65093 Numer. Math., Nanjing 5, 63-67 (1983). MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{Q. Zhu}, Numer. Math., Nanjing 5, 63--67 (1983; Zbl 0572.65093)
Zhu, Qiding Uniform superconvergence estimates of derivatives for the finite element method. (Chinese. English summary) Zbl 0549.65073 Numer. Math., Nanjing 5, 311-318 (1983). MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{Q. Zhu}, Numer. Math., Nanjing 5, 311--318 (1983; Zbl 0549.65073)
Zhu, Qiding A superconvergence result for the finite element method. (Chinese. English summary) Zbl 0537.65077 Numer. Math., Nanjing 3, 50-55 (1981). MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{Q. Zhu}, Numer. Math., Nanjing 3, 50--55 (1981; Zbl 0537.65077)
Zhu, Qi-ding Point by point estimation and maximum norm inner estimation in the finite element method. (Chinese) Zbl 0448.65069 Math. Numer. Sin. 3, 87-90 (1981). MSC: 65N30 35J25 65N15 PDFBibTeX XMLCite \textit{Q.-d. Zhu}, Math. Numer. Sin. 3, 87--90 (1981; Zbl 0448.65069)