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
Liu, Jing-hong; Zhu, Qi-ding Local pointwise convergence of the 3D finite element. (English) Zbl 1524.65836 Appl. Math., Ser. B (Engl. Ed.) 38, No. 2, 210-222 (2023). MSC: 65N30 65N12 35J08 PDFBibTeX XMLCite \textit{J.-h. Liu} and \textit{Q.-d. Zhu}, Appl. Math., Ser. B (Engl. Ed.) 38, No. 2, 210--222 (2023; Zbl 1524.65836) Full Text: DOI
Wang, Xiang; Zhang, Yuqing; Zhang, Zhimin New superconvergent structures with optional superconvergent points for the finite volume element method. (English) Zbl 1514.65113 Commun. Comput. Phys. 33, No. 5, 1332-1356 (2023). MSC: 65M08 35L65 65M12 PDFBibTeX XMLCite \textit{X. Wang} et al., Commun. Comput. Phys. 33, No. 5, 1332--1356 (2023; Zbl 1514.65113) Full Text: DOI
Xiang, Shuhuang; Kong, Desong; Liu, Guidong; Wang, Li-Lian Pointwise error estimates and local superconvergence of Jacobi expansions. (English) Zbl 07673302 Math. Comput. 92, No. 342, 1747-1778 (2023). MSC: 65-XX 41A10 41A25 41A50 65N35 65M70 PDFBibTeX XMLCite \textit{S. Xiang} et al., Math. Comput. 92, No. 342, 1747--1778 (2023; Zbl 07673302) Full Text: DOI arXiv
Yang, Peng; Li, Yonghai; Wang, Xiang Global \(L^2\) superconvergence of the tetrahedral quadratic finite element. (English) Zbl 07654109 Comput. Math. Appl. 133, 104-123 (2023). MSC: 65N30 65N12 35J25 65N15 35J05 PDFBibTeX XMLCite \textit{P. Yang} et al., Comput. Math. Appl. 133, 104--123 (2023; Zbl 07654109) Full Text: DOI
Wang, Jianyun; Tian, Zhikun Superconvergence of finite element approximations of the two-dimensional cubic nonlinear Schrödinger equation. (English) Zbl 1499.65686 Adv. Appl. Math. Mech. 14, No. 3, 652-665 (2022). MSC: 65N30 65N15 65N12 35Q55 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Z. Tian}, Adv. Appl. Math. Mech. 14, No. 3, 652--665 (2022; Zbl 1499.65686) Full Text: DOI
Wang, Xiang; Lv, Junliang; Li, Yonghai New superconvergent structures developed from the finite volume element method in 1D. (English) Zbl 1484.65161 Math. Comput. 90, No. 329, 1179-1205 (2021). MSC: 65L60 65L10 65L20 PDFBibTeX XMLCite \textit{X. Wang} et al., Math. Comput. 90, No. 329, 1179--1205 (2021; Zbl 1484.65161) Full Text: DOI arXiv
Feng, Xinlong; He, Ruijian; Chen, Zhangxin Superconvergence in \(H^1\)-norm of a difference finite element method for the heat equation in a 3D spatial domain with almost-uniform mesh. (English) Zbl 1456.65065 Numer. Algorithms 86, No. 1, 357-395 (2021). MSC: 65M06 65M60 65M12 35K05 80A19 35Q79 35J05 PDFBibTeX XMLCite \textit{X. Feng} et al., Numer. Algorithms 86, No. 1, 357--395 (2021; Zbl 1456.65065) Full Text: DOI
Liu, Jinghong; Zhu, Qiding Superconvergence of the function value for pentahedral finite elements for an elliptic equation with varying coefficients. (English) Zbl 1493.65216 Bound. Value Probl. 2020, Paper No. 7, 15 p. (2020). MSC: 65N30 65N12 65N80 35J25 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Q. Zhu}, Bound. Value Probl. 2020, Paper No. 7, 15 p. (2020; Zbl 1493.65216) Full Text: DOI
Li, Dan; Nie, Yufeng; Wang, Chunmei Superconvergence of numerical gradient for weak Galerkin finite element methods on nonuniform Cartesian partitions in three dimensions. (English) Zbl 1442.65380 Comput. Math. Appl. 78, No. 3, 905-928 (2019). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{D. Li} et al., Comput. Math. Appl. 78, No. 3, 905--928 (2019; Zbl 1442.65380) Full Text: DOI arXiv
Liu, Jinghong; Liu, Wen; Zhu, Qiding Locally pointwise superconvergence of the tensor-product finite element in three dimensions. (English) Zbl 1524.65835 Appl. Math., Praha 64, No. 4, 383-396 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N12 35J15 35J08 PDFBibTeX XMLCite \textit{J. Liu} et al., Appl. Math., Praha 64, No. 4, 383--396 (2019; Zbl 1524.65835) Full Text: DOI
Huang, Yunqing; Li, Jichun; Wu, Chao Superconvergence analysis of second and third order rectangular edge elements with applications to Maxwell’s equations. (English) Zbl 1439.65174 Comput. Methods Appl. Mech. Eng. 329, 195-218 (2018). MSC: 65N30 35Q61 65N12 PDFBibTeX XMLCite \textit{Y. Huang} et al., Comput. Methods Appl. Mech. Eng. 329, 195--218 (2018; Zbl 1439.65174) Full Text: DOI
Cao, Waixiang; Zhang, Zhimin Some recent developments in superconvergence of discontinuous Galerkin methods for time-dependent partial differential equations. (English) Zbl 1407.65154 J. Sci. Comput. 77, No. 3, 1402-1423 (2018). MSC: 65M12 65M60 PDFBibTeX XMLCite \textit{W. Cao} and \textit{Z. Zhang}, J. Sci. Comput. 77, No. 3, 1402--1423 (2018; Zbl 1407.65154) Full Text: DOI
He, Ruijian; Feng, Xinlong; Chen, Zhangxin \(H^1\)-superconvergence of a difference finite element method based on the \(P_1-P_1\)-conforming element on non-uniform meshes for the 3D Poisson equation. (English) Zbl 1471.65171 Math. Comput. 87, No. 312, 1659-1688 (2018). Reviewer: José Augusto Ferreira (Coimbra) MSC: 65N06 65N30 65N12 35J05 35B65 PDFBibTeX XMLCite \textit{R. He} et al., Math. Comput. 87, No. 312, 1659--1688 (2018; Zbl 1471.65171) Full Text: DOI
Floater, Michael S.; Gillette, Andrew Nodal bases for the serendipity family of finite elements. (English) Zbl 1376.41001 Found. Comput. Math. 17, No. 4, 879-893 (2017). Reviewer: Antonio López-Carmona (Granada) MSC: 41A05 65D05 PDFBibTeX XMLCite \textit{M. S. Floater} and \textit{A. Gillette}, Found. Comput. Math. 17, No. 4, 879--893 (2017; Zbl 1376.41001) Full Text: DOI arXiv
Wang, Jianyun; Huang, Yunqing; Tian, Zhikun; Zhou, Jie Superconvergence analysis of finite element method for the time-dependent Schrödinger equation. (English) Zbl 1443.65225 Comput. Math. Appl. 71, No. 10, 1960-1972 (2016). MSC: 65M60 65M12 35Q55 PDFBibTeX XMLCite \textit{J. Wang} et al., Comput. Math. Appl. 71, No. 10, 1960--1972 (2016; Zbl 1443.65225) Full Text: DOI
He, Wen-Ming; Lin, Runchang; Zhang, Zhimin Ultraconvergence of finite element method by Richardson extrapolation for elliptic problems with constant coefficients. (English) Zbl 1342.65207 SIAM J. Numer. Anal. 54, No. 4, 2302-2322 (2016). MSC: 65N15 65N30 PDFBibTeX XMLCite \textit{W.-M. He} et al., SIAM J. Numer. Anal. 54, No. 4, 2302--2322 (2016; Zbl 1342.65207) 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
Arnold, Douglas N.; Awanou, Gerard Finite element differential forms on cubical meshes. (English) Zbl 1297.65142 Math. Comput. 83, No. 288, 1551-1570 (2014). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 PDFBibTeX XMLCite \textit{D. N. Arnold} and \textit{G. Awanou}, Math. Comput. 83, No. 288, 1551--1570 (2014; Zbl 1297.65142) Full Text: DOI arXiv
Huang, Yunqing; Li, Jichun; Wu, Chao Averaging for superconvergence: verification and application of 2D edge elements to Maxwell’s equations in metamaterials. (English) Zbl 1297.78016 Comput. Methods Appl. Mech. Eng. 255, 121-132 (2013). MSC: 78M10 65M60 65M12 PDFBibTeX XMLCite \textit{Y. Huang} et al., Comput. Methods Appl. Mech. Eng. 255, 121--132 (2013; Zbl 1297.78016) Full Text: DOI
Chen, Chuanmiao; Hu, Shufang The highest-order superconvergence for BI-\(k\) degree rectangular elements at nodes: a proof of \(2k\)-conjecture. (English) Zbl 1276.65067 Math. Comput. 82, No. 283, 1337-1355 (2013). Reviewer: Constantin Popa (Constanţa) MSC: 65N12 65N30 35J05 PDFBibTeX XMLCite \textit{C. Chen} and \textit{S. Hu}, Math. Comput. 82, No. 283, 1337--1355 (2013; Zbl 1276.65067) 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 Pointwise supercloseness of the displacement for tensor-product quadratic pentahedral finite elements. (English) Zbl 1253.65177 Appl. Math. Lett. 25, No. 10, 1458-1463 (2012). Reviewer: Abdallah Bradji (Annaba) MSC: 65N15 65N30 35J05 PDFBibTeX XMLCite \textit{J. Liu}, Appl. Math. Lett. 25, No. 10, 1458--1463 (2012; Zbl 1253.65177) Full Text: DOI
He, Wen-Ming; Chen, Wei-Qiu; Zhu, Qi-Ding Local superconvergence of the derivative for tensor-product block FEM. (English) Zbl 1244.65158 Numer. Methods Partial Differ. Equations 28, No. 2, 457-475 (2012). Reviewer: Nicolae Pop (Baia Mare) MSC: 65N12 65N30 35J05 PDFBibTeX XMLCite \textit{W.-M. He} et al., Numer. Methods Partial Differ. Equations 28, No. 2, 457--475 (2012; Zbl 1244.65158) Full Text: DOI
Liu, Jinghong; Huo, Xiaocheng; Zhu, Qiding Pointwise supercloseness of quadratic serendipity block finite elements for a variable coefficient elliptic equation. (English) Zbl 1228.65212 Numer. Methods Partial Differ. Equations 27, No. 5, 1253-1261 (2011). Reviewer: H. P. Dikshit (Bhopal) MSC: 65N12 65N30 35J25 PDFBibTeX XMLCite \textit{J. Liu} et al., Numer. Methods Partial Differ. Equations 27, No. 5, 1253--1261 (2011; Zbl 1228.65212) Full Text: DOI
Liu, Jinghong; Jia, Bo; Zhu, Qiding An estimate for the three-dimensional discrete Green’s function and applications. (English) Zbl 1194.35013 J. Math. Anal. Appl. 370, No. 2, 350-363 (2010). MSC: 35A08 65N30 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Math. Anal. Appl. 370, No. 2, 350--363 (2010; Zbl 1194.35013) 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