Cao, Huihui; Huang, Yunqing; Yi, Nianyu Adaptive direct discontinuous Galerkin method for elliptic equations. (English) Zbl 1524.65769 Comput. Math. Appl. 97, 394-415 (2021). MSC: 65N30 65N15 35J25 65N12 PDFBibTeX XMLCite \textit{H. Cao} et al., Comput. Math. Appl. 97, 394--415 (2021; Zbl 1524.65769) Full Text: DOI
Li, Guanrong; Chen, Yanping; Huang, Yunqing A hybridized weak Galerkin finite element scheme for general second-order elliptic problems. (English) Zbl 1462.65194 Electron. Res. Arch. 28, No. 2, 821-836 (2020). Reviewer: Dmitrii Legatiuk (Weimar) MSC: 65N30 65N12 65N15 35J50 35J15 PDFBibTeX XMLCite \textit{G. Li} et al., Electron. Res. Arch. 28, No. 2, 821--836 (2020; Zbl 1462.65194) Full Text: DOI
Zhang, Yidan; Huang, Yunqing; Yi, Nianyu Superconvergence of the Crouzeix-Raviart element for elliptic equation. (English) Zbl 1435.65215 Adv. Comput. Math. 45, No. 5-6, 2833-2844 (2019). MSC: 65N30 65N15 35J15 65N12 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Adv. Comput. Math. 45, No. 5--6, 2833--2844 (2019; Zbl 1435.65215) Full Text: DOI
Yang, Wei; Cao, Luling; Huang, Yunqing; Cui, Jintao A new a posteriori error estimate for the interior penalty discontinuous Galerkin method. (English) Zbl 1408.65081 Int. J. Numer. Anal. Model. 16, No. 2, 210-224 (2019). MSC: 65N15 65N30 35J20 65F10 PDFBibTeX XMLCite \textit{W. Yang} et al., Int. J. Numer. Anal. Model. 16, No. 2, 210--224 (2019; Zbl 1408.65081) Full Text: Link
Yin, Peimeng; Huang, Yunqing; Liu, Hailiang Error estimates for the iterative discontinuous Galerkin method to the nonlinear Poisson-Boltzmann equation. (English) Zbl 1488.65669 Commun. Comput. Phys. 23, No. 1, 168-197 (2018). MSC: 65N30 35J05 35J25 65N15 PDFBibTeX XMLCite \textit{P. Yin} et al., Commun. Comput. Phys. 23, No. 1, 168--197 (2018; Zbl 1488.65669) Full Text: DOI
Li, Guanrong; Chen, Yanping; Huang, Yunqing A new weak Galerkin finite element scheme for general second-order elliptic problems. (English) Zbl 1394.65148 J. Comput. Appl. Math. 344, 701-715 (2018). MSC: 65N30 65N15 35J50 35J47 PDFBibTeX XMLCite \textit{G. Li} et al., J. Comput. Appl. Math. 344, 701--715 (2018; Zbl 1394.65148) Full Text: DOI
Jiang, Shan; Presho, Michael; Huang, Yunqing An adapted Petrov-Galerkin multi-scale finite element method for singularly perturbed reaction-diffusion problems. (English) Zbl 1344.65112 Int. J. Comput. Math. 93, No. 7, 1200-1211 (2016). MSC: 65N30 35J25 35B25 65N12 65N15 PDFBibTeX XMLCite \textit{S. Jiang} et al., Int. J. Comput. Math. 93, No. 7, 1200--1211 (2016; Zbl 1344.65112) Full Text: DOI
Hu, Jun; Huang, Yunqing; Ma, Rui Guaranteed lower bounds for eigenvalues of elliptic operators. (English) Zbl 1343.65131 J. Sci. Comput. 67, No. 3, 1181-1197 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65N25 65N30 65N15 35J25 35P15 PDFBibTeX XMLCite \textit{J. Hu} et al., J. Sci. Comput. 67, No. 3, 1181--1197 (2016; Zbl 1343.65131) Full Text: DOI
Hu, Jun; Huang, Yunqing; Shen, Quan Constructing both lower and upper bounds for the eigenvalues of elliptic operators by nonconforming finite element methods. (English) Zbl 1326.65156 Numer. Math. 131, No. 2, 273-302 (2015). Reviewer: Abdallah Bradji (Annaba) MSC: 65N25 65N30 65N15 35J25 35P15 PDFBibTeX XMLCite \textit{J. Hu} et al., Numer. Math. 131, No. 2, 273--302 (2015; Zbl 1326.65156) Full Text: DOI
Yin, Peimeng; Huang, Yunqing; Liu, Hailiang An iterative discontinuous Galerkin method for solving the nonlinear Poisson Boltzmann equation. (English) Zbl 1388.65162 Commun. Comput. Phys. 16, No. 2, 491-515 (2014). MSC: 65N30 65N22 35J25 35J61 PDFBibTeX XMLCite \textit{P. Yin} et al., Commun. Comput. Phys. 16, No. 2, 491--515 (2014; Zbl 1388.65162) Full Text: DOI
Chen, Jie; Huang, Yunqing; Wang, Desheng; Xie, Xiaoping Adaptive tetrahedral mesh generation by constrained centroidal Voronoi-Delaunay tessellations for finite element methods. (English) Zbl 1309.65144 Numer. Methods Partial Differ. Equations 30, No. 5, 1633-1653 (2014). MSC: 65N50 35J25 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{J. Chen} et al., Numer. Methods Partial Differ. Equations 30, No. 5, 1633--1653 (2014; Zbl 1309.65144) Full Text: DOI
Hu, Jun; Huang, Yunqing; Lin, Qun Lower bounds for eigenvalues of elliptic operators: by nonconforming finite element methods. (English) Zbl 1335.65089 J. Sci. Comput. 61, No. 1, 196-221 (2014). MSC: 65N25 65N30 35J25 35P15 65N15 PDFBibTeX XMLCite \textit{J. Hu} et al., J. Sci. Comput. 61, No. 1, 196--221 (2014; Zbl 1335.65089) Full Text: DOI arXiv
Wei, Huayi; Chen, Long; Huang, Yunqing; Zheng, Bin Adaptive mesh refinement and superconvergence for two-dimensional interface problems. (English) Zbl 1304.65259 SIAM J. Sci. Comput. 36, No. 4, A1478-A1499 (2014). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N50 65N15 65N30 65N55 35J25 65N12 PDFBibTeX XMLCite \textit{H. Wei} et al., SIAM J. Sci. Comput. 36, No. 4, A1478--A1499 (2014; Zbl 1304.65259) Full Text: DOI Link
Huang, Yunqing; Su, Yifan; Wei, Huayi; Yi, Nianyu Anisotropic mesh generation methods based on ACVT and natural metric for anisotropic elliptic equation. (English) Zbl 1304.65258 Sci. China, Math. 56, No. 12, 2615-2630 (2013). MSC: 65N50 65N30 35J25 PDFBibTeX XMLCite \textit{Y. Huang} et al., Sci. China, Math. 56, No. 12, 2615--2630 (2013; Zbl 1304.65258) Full Text: DOI
Hu, Jun; Huang, Yunqing Lower bounds for eigenvalues of the Stokes operator. (English) Zbl 1262.65171 Adv. Appl. Math. Mech. 5, No. 1, 1-18 (2013). MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{J. Hu} and \textit{Y. Huang}, Adv. Appl. Math. Mech. 5, No. 1, 1--18 (2013; Zbl 1262.65171) Full Text: DOI
Hu, Jun; Huang, Yunqing A priori and a posteriori error analysis of the discontinuous Galerkin methods for Reissner-Mindlin plates. (English) Zbl 1262.65170 Adv. Appl. Math. Mech. 3, No. 6, 649-662 (2011). MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{J. Hu} and \textit{Y. Huang}, Adv. Appl. Math. Mech. 3, No. 6, 649--662 (2011; Zbl 1262.65170) Full Text: DOI
Huang, Yunqing; Yang, Wei; Yi, Nianyu A posteriori error estimate based on the explicit polynomial recovery. (English) Zbl 1249.65222 Nat. Sci. J. Xiangtan Univ. 33, No. 3, 1-12 (2011). MSC: 65N15 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{Y. Huang} et al., Nat. Sci. J. Xiangtan Univ. 33, No. 3, 1--12 (2011; Zbl 1249.65222)
Huang, Yunqing; Wei, Huayi; Wei, Yang; Yi, Nianyu A new a posteriori error estimate for adaptive finite element methods. (English) Zbl 1217.65204 Huang, Yunqing (ed.) et al., Domain decomposition methods in science and engineering XIX. Selected papers based on the presentations at the 19th international conference on domain decoposition (DD19), Zhanjiajie, China, August 17–22, 2009. Berlin: Springer (ISBN 978-3-642-11303-1/hbk; 978-3-642-11304-8/ebook). Lecture Notes in Computational Science and Engineering 78, 63-74 (2011). MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{Y. Huang} et al., Lect. Notes Comput. Sci. Eng. 78, 63--74 (2011; Zbl 1217.65204) Full Text: DOI
Huang, Yunqing; Xu, Jinchao Superconvergence of quadratic finite elements on mildly structured grids. (English) Zbl 1195.65193 Math. Comput. 77, No. 263, 1253-1268 (2008). MSC: 65N50 65N30 35J25 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{J. Xu}, Math. Comput. 77, No. 263, 1253--1268 (2008; Zbl 1195.65193) Full Text: DOI
Yu, Haiyuan; Huang, Yunqing Superconvergence and asymptotic expansion for criss-cross linear finite element approximation with variable coefficient. (Chinese. English summary) Zbl 1142.65428 Math. Numer. Sin. 29, No. 3, 325-336 (2007). MSC: 65N12 65N30 35J25 PDFBibTeX XMLCite \textit{H. Yu} and \textit{Y. Huang}, Math. Numer. Sin. 29, No. 3, 325--336 (2007; Zbl 1142.65428)
Shu, Shi; Yu, Haiyuan; Huang, Yunqing; Nie, Cunyun A symmetric finite volume element scheme on quadrilateral grid and superconvergence. (English) Zbl 1100.65102 Int. J. Numer. Anal. Model. 3, No. 3, 348-360 (2006). Reviewer: Georg Hebermehl (Berlin) MSC: 65N30 65N12 35J25 65N15 65N50 PDFBibTeX XMLCite \textit{S. Shu} et al., Int. J. Numer. Anal. Model. 3, No. 3, 348--360 (2006; Zbl 1100.65102)
Huang, Yunqing; Xu, Jinchao A conforming finite element method for overlapping and nonmatching grids. (English) Zbl 1019.65090 Math. Comput. 72, No. 243, 1057-1066 (2003). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 65N15 65N55 65F10 35J25 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{J. Xu}, Math. Comput. 72, No. 243, 1057--1066 (2003; Zbl 1019.65090) Full Text: DOI
Hu, Jun; Huang, Yunqing; Xue, Weimin An optimal error estimate for an \(h\)-\(p\) clouds Galerkin method. (English) Zbl 1066.65115 Chan, Tony F. (ed.) et al., Recent progress in computational and applied PDEs. Conference proceedings for the international conference held in Zhangjiajie, China, July 1–7, 2001. New York, NY: Kluwer Academic / Plenum Publishers (ISBN 0-306-47420-4/hbk). 217-230 (2002). MSC: 65N15 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{J. Hu} et al., in: Recent progress in computational and applied PDEs. Conference proceedings for the international conference held in Zhangjiajie, China, July 1--7, 2001. New York, NY: Kluwer Academic / Plenum Publishers. 217--230 (2002; Zbl 1066.65115)
Chen, Yanping; Huang, Yunqing Least-squares mixed finite element approximation of a degenerate elliptic problem. (English. Chinese original) Zbl 0973.65101 Chin. J. Numer. Math. Appl. 23, No. 2, 19-28 (2001); translation from Math. Numer. Sin. 23, No. 1, 87-94 (2001). MSC: 65N30 78M10 35J70 65N15 35J25 35Q60 78A25 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Y. Huang}, Chin. J. Numer. Math. Appl. 23, No. 2, 1 (2001; Zbl 0973.65101); translation from Math. Numer. Sin. 23, No. 1, 87--94 (2001)
Huang, Yun-Qing The superconvergence of finite element methods on domains with reentrant corners. (English) Zbl 0902.65045 Křížek, M. (ed.) et al., Finite element methods. Superconvergence, post-processing, and a posteriori estimates. 1st conference, University of Jyväskylä, Finland. New York, NY: Marcel Dekker, Inc. Lect. Notes Pure Appl. Math. 196, 169-182 (1998). MSC: 65N12 65-02 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{Y.-Q. Huang}, Lect. Notes Pure Appl. Math. 196, 169--182 (1998; Zbl 0902.65045)
Huang, Y. Q.; Li, Y. X. The convergence of multigrid methods for solving finite element equations in the presence of singularities. (English) Zbl 0838.65102 J. Comput. Math. 13, No. 4, 315-324 (1995). Reviewer: W.Heinrichs (Essen) MSC: 65N12 65N30 65N55 35J25 PDFBibTeX XMLCite \textit{Y. Q. Huang} and \textit{Y. X. Li}, J. Comput. Math. 13, No. 4, 315--324 (1995; Zbl 0838.65102)
Huang, Yun-Qing; Lin, Qun Some estimates of Green function and its finite element approximation on polygonal domains. (Chinese. English summary) Zbl 0834.65102 J. Syst. Sci. Math. Sci. 14, No. 1, 1-8 (1994). Reviewer: Hou Zongyi (Shanghai) MSC: 65N15 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{Y.-Q. Huang} and \textit{Q. Lin}, J. Syst. Sci. Math. Sci. 14, No. 1, 1--8 (1994; Zbl 0834.65102)
Shu, Shi; Huang, Yunging The asymptotic expansions of a modified bilinear element approximations for a kind of elliptic partial differential equations. (Chinese. English summary) Zbl 0806.65110 Nat. Sci. J. Xiangtan Univ. 16, No. 1, 11-22 (1994). Reviewer: Hou Zongyi (Shanghai) MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{S. Shu} and \textit{Y. Huang}, Nat. Sci. J. Xiangtan Univ. 16, No. 1, 11--22 (1994; Zbl 0806.65110)
Jin, Jicheng; Huang, Yunqing A superconvergent gradient approximation from biquadratic element. (Chinese. English summary) Zbl 0791.65086 Nat. Sci. J. Xiangtan Univ. 15, No. 2, 8-14 (1993). Reviewer: S.Jiang (Bonn) MSC: 65N30 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{J. Jin} and \textit{Y. Huang}, Nat. Sci. J. Xiangtan Univ. 15, No. 2, 8--14 (1993; Zbl 0791.65086)
Huang, Yunqing; Lin, Qun Elliptic boundary value problems on polygonal domains and finite element approximations. (Chinese. English summary) Zbl 0794.35038 J. Syst. Sci. Math. Sci. 12, No. 3, 263-268 (1992). MSC: 35J25 65M60 35B45 65M99 65N99 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{Q. Lin}, J. Syst. Sci. Math. Sci. 12, No. 3, 263--268 (1992; Zbl 0794.35038)
Huang, Yunqing; Lin, Qun A finite element method on polygonal domains with extrapolation. (Chinese. English summary) Zbl 0850.65212 Math. Numer. Sin. 12, No. 3, 239-249 (1990). MSC: 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{Q. Lin}, Math. Numer. Sin. 12, No. 3, 239--249 (1990; Zbl 0850.65212)
Křížek, Michal; Lin, Qun; Huang, Yunqing A nodal superconvergence arising from combination of linear and bilinear elements. (English) Zbl 0726.65122 Syst. Sci. Math. Sci. 1, No. 2, 191-197 (1988). MSC: 65N30 35J05 PDFBibTeX XMLCite \textit{M. Křížek} et al., Syst. Sci. Math. Sci. 1, No. 2, 191--197 (1988; Zbl 0726.65122)
Chen, Chuanmiao; Huang, Yunqing \(W^{1,p}\)-stability of finite element solutions of elliptic problems. (Chinese. English summary) Zbl 0782.65129 Hunan Ann. Math. 6, No. 2, 81-89 (1986). MSC: 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{C. Chen} and \textit{Y. Huang}, Hunan Ann. Math. 6, No. 2, 81--89 (1986; Zbl 0782.65129)