Zhang, Min; Zhang, Tong; Xie, Xiaoping Robust globally divergence-free weak Galerkin finite element method for incompressible magnetohydrodynamics flow. (English) Zbl 07810015 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107810, 24 p. (2024). MSC: 76M10 65N30 65N15 76W05 PDFBibTeX XMLCite \textit{M. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107810, 24 p. (2024; Zbl 07810015) Full Text: DOI arXiv
Chen, Gang; Xie, Xiaoping; Xu, Youcai; Zhang, Yangwen A locking-free stabilized embedded discontinuous Galerkin method for linear elasticity with strong symmetric stress and continuous displacement trace approximation. (English) Zbl 07674294 Comput. Math. Appl. 134, 66-86 (2023). MSC: 65N30 74B05 74S05 PDFBibTeX XMLCite \textit{G. Chen} et al., Comput. Math. Appl. 134, 66--86 (2023; Zbl 07674294) Full Text: DOI
Xiao, Jihong; Zhu, Zimo; Xie, Xiaoping Semi-discrete and fully discrete weak Galerkin finite element methods for a quasistatic Maxwell viscoelastic model. (English) Zbl 1524.35640 Numer. Math., Theory Methods Appl. 16, No. 1, 79-110 (2023). MSC: 35Q74 65M12 65M60 PDFBibTeX XMLCite \textit{J. Xiao} et al., Numer. Math., Theory Methods Appl. 16, No. 1, 79--110 (2023; Zbl 1524.35640) Full Text: DOI arXiv
Gong, Wei; Liang, Dongdong; Xie, Xiaoping Pointwise error estimates for linear finite element approximation to elliptic Dirichlet problems in smooth domains. (English) Zbl 1514.65156 Adv. Comput. Math. 49, No. 2, Paper No. 15, 33 p. (2023). MSC: 65N15 65N30 35A15 35J25 PDFBibTeX XMLCite \textit{W. Gong} et al., Adv. Comput. Math. 49, No. 2, Paper No. 15, 33 p. (2023; Zbl 1514.65156) Full Text: DOI
Yang, Yan; Xie, Xiaoping High order mixed finite elements with mass lumping for elasticity on triangular grids. (English) Zbl 1499.65689 Numer. Math., Theory Methods Appl. 15, No. 1, 227-250 (2022). MSC: 65N30 65N15 74H15 74S05 74B10 35Q74 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{X. Xie}, Numer. Math., Theory Methods Appl. 15, No. 1, 227--250 (2022; Zbl 1499.65689) Full Text: DOI arXiv
Yuan, Hao; Xie, Xiaoping Semi-discrete and fully discrete mixed finite element methods for Maxwell viscoelastic model of wave propagation. (English) Zbl 1499.65544 Adv. Appl. Math. Mech. 14, No. 2, 344-364 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 74D10 74J30 PDFBibTeX XMLCite \textit{H. Yuan} and \textit{X. Xie}, Adv. Appl. Math. Mech. 14, No. 2, 344--364 (2022; Zbl 1499.65544) Full Text: DOI arXiv
Han, Yihui; Xie, Xiaoping Robust globally divergence-free weak Galerkin finite element methods for natural convection problems. (English) Zbl 07418048 Commun. Comput. Phys. 26, No. 4, 1039-1070 (2019). MSC: 65D18 68U05 68U07 PDFBibTeX XMLCite \textit{Y. Han} and \textit{X. Xie}, Commun. Comput. Phys. 26, No. 4, 1039--1070 (2019; Zbl 07418048) Full Text: DOI arXiv
Chen, Yumei; Chen, Gang; Xie, Xiaoping Weak Galerkin finite element method for Biot’s consolidation problem. (English) Zbl 1376.65128 J. Comput. Appl. Math. 330, 398-416 (2018). MSC: 65M60 35K20 65M15 35Q35 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Comput. Appl. Math. 330, 398--416 (2018; Zbl 1376.65128) Full Text: DOI
Li, Binjie; Xie, Xiaoping; Zhang, Shiquan New convergence analysis for assumed stress hybrid quadrilateral finite element method. (English) Zbl 1439.74440 Discrete Contin. Dyn. Syst., Ser. B 22, No. 7, 2831-2856 (2017). MSC: 74S05 76M10 65N30 65N12 74A10 74B05 PDFBibTeX XMLCite \textit{B. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 7, 2831--2856 (2017; Zbl 1439.74440) Full Text: DOI
Yu, Guozhu; Xie, Xiaoping Analysis of a 3-node mixed-shear-projected triangular element method for Reissner-Mindlin plates. (English) Zbl 1457.74127 Numer. Methods Partial Differ. Equations 33, No. 1, 241-258 (2017). MSC: 74K20 74S05 PDFBibTeX XMLCite \textit{G. Yu} and \textit{X. Xie}, Numer. Methods Partial Differ. Equations 33, No. 1, 241--258 (2017; Zbl 1457.74127) Full Text: DOI
Bai, YanHong; Wu, YongKe; Xie, XiaoPing Superconvergence and recovery type a posteriori error estimation for hybrid stress finite element method. (English) Zbl 1388.74091 Sci. China, Math. 59, No. 9, 1835-1850 (2016). MSC: 74S05 74B05 65N30 65N12 PDFBibTeX XMLCite \textit{Y. Bai} et al., Sci. China, Math. 59, No. 9, 1835--1850 (2016; Zbl 1388.74091) Full Text: DOI arXiv
Chen, Gang; Xie, Xiaoping A robust weak Galerkin finite element method for linear elasticity with strong symmetric stresses. (English) Zbl 1360.74134 Comput. Methods Appl. Math. 16, No. 3, 389-408 (2016). MSC: 74S05 65N30 74B10 PDFBibTeX XMLCite \textit{G. Chen} and \textit{X. Xie}, Comput. Methods Appl. Math. 16, No. 3, 389--408 (2016; Zbl 1360.74134) Full Text: DOI
Li, Binjie; Xie, Xiaoping BPX preconditioner for nonstandard finite element methods for diffusion problems. (English) Zbl 1337.65026 SIAM J. Numer. Anal. 54, No. 2, 1147-1168 (2016). MSC: 65F08 65N30 35J25 PDFBibTeX XMLCite \textit{B. Li} and \textit{X. Xie}, SIAM J. Numer. Anal. 54, No. 2, 1147--1168 (2016; Zbl 1337.65026) Full Text: DOI arXiv
Li, Binjie; Xie, Xiaoping A two-level algorithm for the weak Galerkin discretization of diffusion problems. (English) Zbl 1320.65177 J. Comput. Appl. Math. 287, 179-195 (2015). MSC: 65N30 65N22 PDFBibTeX XMLCite \textit{B. Li} and \textit{X. Xie}, J. Comput. Appl. Math. 287, 179--195 (2015; Zbl 1320.65177) Full Text: DOI arXiv
Guo, Yuanhui; Yu, Guozhu; Xie, Xiaoping Uniform analysis of a stabilized hybrid finite element method for Reissner-Mindlin plates. (English) Zbl 1314.74060 Sci. China, Math. 56, No. 8, 1727-1742 (2013). MSC: 74S05 74K20 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{Y. Guo} et al., Sci. China, Math. 56, No. 8, 1727--1742 (2013; Zbl 1314.74060) Full Text: DOI
Carstensen, Carsten; Xie, Xiaoping; Yu, Guozhu; Zhou, Tianxiao A priori and a posteriori analysis for a locking-free low order quadrilateral hybrid finite element for Reissner-Mindlin plates. (English) Zbl 1225.74081 Comput. Methods Appl. Mech. Eng. 200, No. 9-12, 1161-1175 (2011). MSC: 74S05 74K20 65N15 65N30 PDFBibTeX XMLCite \textit{C. Carstensen} et al., Comput. Methods Appl. Mech. Eng. 200, No. 9--12, 1161--1175 (2011; Zbl 1225.74081) Full Text: DOI