Han, Jiayu; Zhang, Zhimin An hp-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem. (English) Zbl 07782832 BIT 63, No. 4, Paper No. 56, 29 p. (2023). MSC: 65N25 65N30 65N12 65N15 65N50 35B45 35Q60 PDFBibTeX XMLCite \textit{J. Han} and \textit{Z. Zhang}, BIT 63, No. 4, Paper No. 56, 29 p. (2023; Zbl 07782832) Full Text: DOI arXiv
An, Jing; Tan, Ting; Zhang, Zhimin A novel spectral approximation and error estimation for transmission eigenvalues in spherical domains. (English) Zbl 07708339 J. Sci. Comput. 96, No. 2, Paper No. 38, 24 p. (2023). MSC: 65-XX 35Rxx 35Qxx 78Axx PDFBibTeX XMLCite \textit{J. An} et al., J. Sci. Comput. 96, No. 2, Paper No. 38, 24 p. (2023; Zbl 07708339) Full Text: DOI
Chen, Sheng; Zhang, Zhimin An exponential convergence approximation to singularly perturbed problems by log orthogonal functions. (English) Zbl 1492.65339 Calcolo 59, No. 3, Paper No. 30, 23 p. (2022). MSC: 65N35 41A30 34B08 65N12 65N15 PDFBibTeX XMLCite \textit{S. Chen} and \textit{Z. Zhang}, Calcolo 59, No. 3, Paper No. 30, 23 p. (2022; Zbl 1492.65339) Full Text: DOI
Zhang, Baiju; Li, Hengguang; Zhang, Zhimin Solving biharmonic eigenvalue problem with Navier boundary condition via Poisson solvers on non-convex domains. (English) Zbl 1490.65258 J. Sci. Comput. 92, No. 1, Paper No. 24, 20 p. (2022). MSC: 65N25 35J40 65N12 65N30 PDFBibTeX XMLCite \textit{B. Zhang} et al., J. Sci. Comput. 92, No. 1, Paper No. 24, 20 p. (2022; Zbl 1490.65258) Full Text: DOI arXiv
Du, Shaohong; Lin, Runchang; Zhang, Zhimin Residual-based a posteriori error estimators for mixed finite element methods for fourth order elliptic singularly perturbed problems. (English) Zbl 1493.65196 J. Comput. Appl. Math. 412, Article ID 114323, 16 p. (2022). MSC: 65N30 65N15 35B25 35J30 74K20 PDFBibTeX XMLCite \textit{S. Du} et al., J. Comput. Appl. Math. 412, Article ID 114323, 16 p. (2022; Zbl 1493.65196) Full Text: DOI
Zhou, Jianwei; Li, Huiyuan; Zhang, Zhimin A posteriori error estimates of spectral approximations for second order partial differential equations in spherical geometries. (English) Zbl 1490.65249 J. Sci. Comput. 90, No. 1, Paper No. 56, 30 p. (2022). MSC: 65N15 65N35 35B25 PDFBibTeX XMLCite \textit{J. Zhou} et al., J. Sci. Comput. 90, No. 1, Paper No. 56, 30 p. (2022; Zbl 1490.65249) Full Text: DOI
Tao, Qi; Cao, Waixiang; Zhang, Zhimin Superconvergence analysis of the ultra-weak local discontinuous Galerkin method for one dimensional linear fifth order equations. (English) Zbl 1500.65071 J. Sci. Comput. 88, No. 3, Paper No. 63, 38 p. (2021). MSC: 65M60 65M06 65N30 65M12 65M15 PDFBibTeX XMLCite \textit{Q. Tao} et al., J. Sci. Comput. 88, No. 3, Paper No. 63, 38 p. (2021; Zbl 1500.65071) Full Text: DOI
Du, Shaohong; Lin, Runchang; Zhang, Zhimin Robust recovery-type a posteriori error estimators for streamline upwind/Petrov Galerkin discretizations for singularly perturbed problems. (English) Zbl 1478.65120 Appl. Numer. Math. 168, 23-40 (2021). MSC: 65N30 65N50 65N15 35B25 PDFBibTeX XMLCite \textit{S. Du} et al., Appl. Numer. Math. 168, 23--40 (2021; Zbl 1478.65120) Full Text: DOI arXiv
Gong, Bo; Han, Jiayu; Sun, Jiguang; Zhang, Zhimin A shifted-inverse adaptive multigrid method for the elastic eigenvalue problem. (English) Zbl 1473.65280 Commun. Comput. Phys. 27, No. 1, 251-273 (2020). MSC: 65N25 65N30 65N55 PDFBibTeX XMLCite \textit{B. Gong} et al., Commun. Comput. Phys. 27, No. 1, 251--273 (2020; Zbl 1473.65280) Full Text: DOI
Ren, Jincheng; Liao, Hong-lin; Zhang, Zhimin Superconvergence error estimate of a finite element method on nonuniform time meshes for reaction-subdiffusion equations. (English) Zbl 1452.65247 J. Sci. Comput. 84, No. 2, Paper No. 38, 23 p. (2020). MSC: 65M60 65M15 65N15 65M12 35R11 26A33 PDFBibTeX XMLCite \textit{J. Ren} et al., J. Sci. Comput. 84, No. 2, Paper No. 38, 23 p. (2020; Zbl 1452.65247) Full Text: DOI
Jia, Lueling; Li, Huiyuan; Zhang, Zhimin Numerical analysis on the mortar spectral element methods for Schrödinger eigenvalue problem with an inverse square potential. (English) Zbl 1452.65316 Appl. Numer. Math. 158, 54-84 (2020). MSC: 65N25 65N30 65N35 65N12 65N15 35J10 35P15 35B65 PDFBibTeX XMLCite \textit{L. Jia} et al., Appl. Numer. Math. 158, 54--84 (2020; Zbl 1452.65316) Full Text: DOI
Li, Huiyuan; Shan, Weikun; Zhang, Zhimin \(C^1\)-conforming quadrilateral spectral element method for fourth-order equations. (English) Zbl 1449.65334 Commun. Appl. Math. Comput. 1, No. 3, 403-434 (2019). MSC: 65N35 41A10 PDFBibTeX XMLCite \textit{H. Li} et al., Commun. Appl. Math. Comput. 1, No. 3, 403--434 (2019; Zbl 1449.65334) Full Text: DOI
Du, Yu; Zhang, Zhimin Supercloseness of linear DG-FEM and its superconvergence based on the polynomial preserving recovery for Helmholtz equation. (English) Zbl 1422.65349 J. Sci. Comput. 79, No. 3, 1713-1736 (2019). MSC: 65N12 65N30 35J05 PDFBibTeX XMLCite \textit{Y. Du} and \textit{Z. Zhang}, J. Sci. Comput. 79, No. 3, 1713--1736 (2019; Zbl 1422.65349) Full Text: DOI
Du, Yu; Zhang, Lu; Zhang, Zhimin Convergence analysis of a discontinuous Galerkin method for wave equations in second-order form. (English) Zbl 1450.65119 SIAM J. Numer. Anal. 57, No. 1, 238-265 (2019). Reviewer: Zhiming Chen (Beijing) MSC: 65M60 65N30 65M12 65M15 35B45 35L10 PDFBibTeX XMLCite \textit{Y. Du} et al., SIAM J. Numer. Anal. 57, No. 1, 238--265 (2019; Zbl 1450.65119) Full Text: DOI
He, Wenming; Zhang, Zhimin; Zou, Qingsong Maximum-norms error estimates for high-order finite volume schemes over quadrilateral meshes. (English) Zbl 1421.65027 Numer. Math. 138, No. 2, 473-500 (2018). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N08 65N15 65N50 65N30 PDFBibTeX XMLCite \textit{W. He} et al., Numer. Math. 138, No. 2, 473--500 (2018; Zbl 1421.65027) Full Text: DOI
Du, Yu; Zhang, Zhimin A numerical analysis of the weak Galerkin method for the Helmholtz equation with high wave number. (English) Zbl 1488.65610 Commun. Comput. Phys. 22, No. 1, 133-156 (2017). MSC: 65N30 65N12 65N15 78A40 35J05 PDFBibTeX XMLCite \textit{Y. Du} and \textit{Z. Zhang}, Commun. Comput. Phys. 22, No. 1, 133--156 (2017; Zbl 1488.65610) Full Text: DOI
Guo, Hailong; Zhang, Zhimin; Zhao, Ren Hessian recovery for finite element methods. (English) Zbl 1361.65087 Math. Comput. 86, No. 306, 1671-1692 (2017). MSC: 65N30 65N50 65N12 PDFBibTeX XMLCite \textit{H. Guo} et al., Math. Comput. 86, No. 306, 1671--1692 (2017; Zbl 1361.65087) Full Text: DOI arXiv
Guo, Hailong; Zhang, Zhimin; Zhao, Ren Superconvergent two-grid methods for elliptic eigenvalue problems. (English) Zbl 1365.65245 J. Sci. Comput. 70, No. 1, 125-148 (2017). Reviewer: Vladimir L. Makarov (Kyïv) MSC: 65N25 65N15 65N30 65N12 35P15 65N55 PDFBibTeX XMLCite \textit{H. Guo} et al., J. Sci. Comput. 70, No. 1, 125--148 (2017; Zbl 1365.65245) Full Text: DOI arXiv
Du, Shaohong; Lin, Runchang; Zhang, Zhimin A posteriori error analysis of multipoint flux mixed finite element methods for interface problems. (English) Zbl 1350.65113 Adv. Comput. Math. 42, No. 4, 921-945 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65N15 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{S. Du} et al., Adv. Comput. Math. 42, No. 4, 921--945 (2016; Zbl 1350.65113) Full Text: DOI
Chen, Hongtao; Zhang, Zhimin; Zou, Qingsong A recovery based linear finite element method for 1D bi-harmonic problems. (English) Zbl 1350.65122 J. Sci. Comput. 68, No. 1, 375-394 (2016). Reviewer: Philipp Petersen (Berlin) MSC: 65N30 35J40 31A30 65N12 65N15 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Sci. Comput. 68, No. 1, 375--394 (2016; Zbl 1350.65122) Full Text: DOI
Guo, Hailong; Zhang, Zhimin; Zhao, Ren; Zou, Qingsong Polynomial preserving recovery on boundary. (English) Zbl 1338.65260 J. Comput. Appl. Math. 307, 119-133 (2016). MSC: 65N50 65N30 65N15 PDFBibTeX XMLCite \textit{H. Guo} et al., J. Comput. Appl. Math. 307, 119--133 (2016; Zbl 1338.65260) Full Text: DOI
Song, Lunji; Zhang, Zhimin Polynomial preserving recovery of an over-penalized symmetric interior penalty Galerkin method for elliptic problems. (English) Zbl 1334.65185 Discrete Contin. Dyn. Syst., Ser. B 20, No. 5, 1405-1426 (2015). MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{L. Song} and \textit{Z. Zhang}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 5, 1405--1426 (2015; Zbl 1334.65185) Full Text: DOI
Du, Shaohong; Zhang, Zhimin A robust residual-type a posteriori error estimator for convection-diffusion equations. (English) Zbl 1333.65121 J. Sci. Comput. 65, No. 1, 138-170 (2015). Reviewer: Ivan Secrieru (Chişinău) MSC: 65N15 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{S. Du} and \textit{Z. Zhang}, J. Sci. Comput. 65, No. 1, 138--170 (2015; Zbl 1333.65121) Full Text: DOI
Zhang, Zhimin; Zou, Qingsong Vertex-centered finite volume schemes of any order over quadrilateral meshes for elliptic boundary value problems. (English) Zbl 1338.65233 Numer. Math. 130, No. 2, 363-393 (2015). Reviewer: Petr Sváček (Praha) MSC: 65N08 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{Q. Zou}, Numer. Math. 130, No. 2, 363--393 (2015; Zbl 1338.65233) Full Text: DOI
Guo, Hailong; Zhang, Zhimin Gradient recovery for the Crouzeix-Raviart element. (English) Zbl 1325.65153 J. Sci. Comput. 64, No. 2, 456-476 (2015). MSC: 65N30 65N12 65N15 35J05 35Q30 PDFBibTeX XMLCite \textit{H. Guo} and \textit{Z. Zhang}, J. Sci. Comput. 64, No. 2, 456--476 (2015; Zbl 1325.65153) Full Text: DOI
Zhu, Huiqing; Zhang, Zhimin Uniform convergence of the LDG method for a singularly perturbed problem with the exponential boundary layer. (English) Zbl 1282.65159 Math. Comput. 83, No. 286, 635-663 (2014). MSC: 65N30 65N12 65N50 35J25 35B25 PDFBibTeX XMLCite \textit{H. Zhu} and \textit{Z. Zhang}, Math. Comput. 83, No. 286, 635--663 (2014; Zbl 1282.65159) Full Text: DOI
Celiker, Fatih; Fan, Li; Zhang, Sheng; Zhang, Zhimin Locking-free optimal discontinuous Galerkin methods for a Naghdi-type arch model. (English) Zbl 1311.74111 J. Sci. Comput. 52, No. 1, 49-84 (2012). MSC: 74S05 65L60 74K10 PDFBibTeX XMLCite \textit{F. Celiker} et al., J. Sci. Comput. 52, No. 1, 49--84 (2012; Zbl 1311.74111) Full Text: DOI
Lin, Runchang; Zhang, Zhimin Convergence analysis for least-squares finite element approximations of second-order two-point boundary value problems. (English) Zbl 1248.65081 J. Comput. Appl. Math. 236, No. 17, 4436-4447 (2012). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65L20 65L60 65L70 65L10 34B15 PDFBibTeX XMLCite \textit{R. Lin} and \textit{Z. Zhang}, J. Comput. Appl. Math. 236, No. 17, 4436--4447 (2012; Zbl 1248.65081) Full Text: DOI
Celiker, Fatih; Zhang, Zhimin; Zhu, Huiqing Nodal superconvergence of SDFEM for singularly perturbed problems. (English) Zbl 1244.65109 J. Sci. Comput. 50, No. 2, 405-433 (2012). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65L10 65L60 65L11 34B15 65L50 65L20 34E15 PDFBibTeX XMLCite \textit{F. Celiker} et al., J. Sci. Comput. 50, No. 2, 405--433 (2012; Zbl 1244.65109) Full Text: DOI
Yang, Yidu; Zhang, Zhimin; Lin, Fubiao Eigenvalue approximation from below using non-conforming finite elements. (English) Zbl 1187.65125 Sci. China, Math. 53, No. 1, 137-150 (2010). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N25 65N30 35P15 65N15 PDFBibTeX XMLCite \textit{Y. Yang} et al., Sci. China, Math. 53, No. 1, 137--150 (2010; Zbl 1187.65125) Full Text: DOI
Yang, Yidu; Lin, Fubiao; Zhang, Zhimin \(N\)-simplex Crouzeix-Raviart element for the second order elliptic/eigenvalue problems. (English) Zbl 1499.65637 Int. J. Numer. Anal. Model. 6, No. 4, 615-626 (2009). MSC: 65N25 65N30 35J15 65N12 PDFBibTeX XMLCite \textit{Y. Yang} et al., Int. J. Numer. Anal. Model. 6, No. 4, 615--626 (2009; Zbl 1499.65637) Full Text: Link
Zhang, Zhimin Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems. (English) Zbl 1019.65091 Math. Comput. 72, No. 243, 1147-1177 (2003). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 35B25 65N12 35J25 65N15 PDFBibTeX XMLCite \textit{Z. Zhang}, Math. Comput. 72, No. 243, 1147--1177 (2003; Zbl 1019.65091) Full Text: DOI
Zhang, Zhimin; Zhu, J. Z. Analysis of the superconvergent patch recovery technique and a posteriori error estimator in the finite element method. II. (English) Zbl 0941.65116 Comput. Methods Appl. Mech. Eng. 163, No. 1-4, 159-170 (1998). MSC: 65N30 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{J. Z. Zhu}, Comput. Methods Appl. Mech. Eng. 163, No. 1--4, 159--170 (1998; Zbl 0941.65116) Full Text: DOI
Babuška, Ivo; Zhang, Zhimin The partition of unity method for the elastically supported beam. (English) Zbl 0959.74078 Comput. Methods Appl. Mech. Eng. 152, No. 1-2, 1-18 (1998). MSC: 74S30 74K10 PDFBibTeX XMLCite \textit{I. Babuška} and \textit{Z. Zhang}, Comput. Methods Appl. Mech. Eng. 152, No. 1--2, 1--18 (1998; Zbl 0959.74078) Full Text: DOI
Zhang, Zhimin; Zhu, Jianzhong Analysis of the superconvergent patch recovery technique and a posteriori error estimator in the finite element method. I. (English) Zbl 1159.74440 Comput. Methods Appl. Mech. Eng. 123, No. 1-4, 173-187 (1995). MSC: 74S05 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{J. Zhu}, Comput. Methods Appl. Mech. Eng. 123, No. 1--4, 173--187 (1995; Zbl 1159.74440) Full Text: DOI
Zhang, Zhimin Arch beam models: Finite element analysis and superconvergence. (English) Zbl 0753.73078 Numer. Math. 61, No. 1, 117-143 (1992). MSC: 74S05 74K10 65N30 65N12 PDFBibTeX XMLCite \textit{Z. Zhang}, Numer. Math. 61, No. 1, 117--143 (1992; Zbl 0753.73078) Full Text: DOI EuDML