Shi, Dongyang; Wang, Junjun Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear hyperbolic equations. (English) Zbl 1384.65062 Comput. Math. Appl. 74, No. 4, 634-651 (2017). MSC: 65M12 65M60 35L70 65M15 PDFBibTeX XMLCite \textit{D. Shi} and \textit{J. Wang}, Comput. Math. Appl. 74, No. 4, 634--651 (2017; Zbl 1384.65062) Full Text: DOI
Shi, Dongyang; Yan, Fengna Convergence analysis of nonconforming mixed finite element scheme for Sobolev equation. (Chinese. English summary) Zbl 1349.65588 J. Zhengzhou Univ., Nat. Sci. Ed. 47, No. 4, 6-11, 16 (2015). MSC: 65N12 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{D. Shi} and \textit{F. Yan}, J. Zhengzhou Univ., Nat. Sci. Ed. 47, No. 4, 6--11, 16 (2015; Zbl 1349.65588) Full Text: DOI
Shi, Yanhua; Shi, Dongyang A high accuracy analysis of a new mixed finite element method for Sobolev equation. (Chinese. English summary) Zbl 1313.65269 J. Syst. Sci. Math. Sci. 34, No. 4, 452-463 (2014). MSC: 65M60 65M20 65M15 65M12 35K20 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{D. Shi}, J. Syst. Sci. Math. Sci. 34, No. 4, 452--463 (2014; Zbl 1313.65269)
Zhang, Yadong; Shi, Dongyang Superconvergence of an \(H^1\)-Galerkin nonconforming mixed finite element method for a parabolic equation. (English) Zbl 1350.65098 Comput. Math. Appl. 66, No. 11, 2362-2375 (2013). MSC: 65M20 65M60 65M12 65M15 35K20 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{D. Shi}, Comput. Math. Appl. 66, No. 11, 2362--2375 (2013; Zbl 1350.65098) Full Text: DOI
Shi, Dongyang; Zhang, Yadong Superconvergence and extrapolation analysis of a new nonconforming mixed finite element approximation for parabolic equation. (Chinese. English summary) Zbl 1299.65214 Math. Numer. Sin. 35, No. 4, 337-352 (2013). MSC: 65M12 65M60 35K20 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Y. Zhang}, Math. Numer. Sin. 35, No. 4, 337--352 (2013; Zbl 1299.65214)
Zhang, Yadong; Shi, Dongyang Sharp estimation of interpolation error constants of a nonconforming Carey element approximation for second-order elliptic problems. (English) Zbl 1299.65264 Math. Appl. 26, No. 4, 725-731 (2013). MSC: 65N15 65N30 35J25 65N50 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{D. Shi}, Math. Appl. 26, No. 4, 725--731 (2013; Zbl 1299.65264)
Zhang, Yadong; Shi, Dongyang Convergence analysis of a new nonconforming mixed finite element for parabolic equations on anisotropic mesh. (Chinese. English summary) Zbl 1299.65240 Math. Numer. Sin. 35, No. 2, 171-180 (2013). MSC: 65M60 35K20 65M12 65M15 65M50 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{D. Shi}, Math. Numer. Sin. 35, No. 2, 171--180 (2013; Zbl 1299.65240)
Shi, Dong-Yang; Tang, Qi-Li Nonconforming \(H^{1}\)-Galerkin mixed finite element method for strongly damped wave equations. (English) Zbl 1284.65138 Numer. Funct. Anal. Optim. 34, No. 12, 1348-1369 (2013). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M60 65M12 35L70 65M50 PDFBibTeX XMLCite \textit{D.-Y. Shi} and \textit{Q.-L. Tang}, Numer. Funct. Anal. Optim. 34, No. 12, 1348--1369 (2013; Zbl 1284.65138) Full Text: DOI
Shi, Dong-yang; Xu, Chao Anisotropic nonconforming Crouzeix-Raviart type FEM for second-order elliptic problems. (English) Zbl 1239.65071 Appl. Math. Mech., Engl. Ed. 33, No. 2, 243-252 (2012). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N30 65N15 35J05 35J25 65N50 PDFBibTeX XMLCite \textit{D.-y. Shi} and \textit{C. Xu}, Appl. Math. Mech., Engl. Ed. 33, No. 2, 243--252 (2012; Zbl 1239.65071) Full Text: DOI
Shi, Dongyang; Peng, Yucheng; Chen, Shaochun Error estimates for rotated \(Q_1^{rot}\) element approximation of the eigenvalue problem on anisotropic meshes. (English) Zbl 1168.65066 Appl. Math. Lett. 22, No. 6, 952-959 (2009). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N25 65N15 65N30 35P15 PDFBibTeX XMLCite \textit{D. Shi} et al., Appl. Math. Lett. 22, No. 6, 952--959 (2009; Zbl 1168.65066) Full Text: DOI
Mao, Shipeng; Chen, Shaochun; Shi, Dongyang Convergence and superconvergence of a nonconforming finite element on anisotropic meshes. (English) Zbl 1122.65098 Int. J. Numer. Anal. Model. 4, No. 1, 16-38 (2007). Reviewer: Thomas Sonar (Braunschweig) MSC: 65N12 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{S. Mao} et al., Int. J. Numer. Anal. Model. 4, No. 1, 16--38 (2007; Zbl 1122.65098)
Shi, Dongyang; Liang, Hui Superconvergence analysis and extrapolation of a new unconventional Hermite-type anisotropic rectangular element. (English) Zbl 1099.65543 Chin. J. Numer. Math. Appl. 28, No. 1, 34-50 (2006); translation from Math. Numer. Sin. 27, No. 4, 369-382 (2005). MSC: 65N12 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Liang}, Chin. J. Numer. Math. Appl. 28, No. 1, 34--50 (2006; Zbl 1099.65543); translation from Math. Numer. Sin. 27, No. 4, 369--382 (2005)
Shi, Dongyang; Chen, Shaochun; Hagiwara, Ichiro Convergence analysis for a nonconforming membrane element on anisotropic meshes. (English) Zbl 1120.65335 J. Comput. Math. 23, No. 4, 373-382 (2005). MSC: 65N12 65N30 35J25 PDFBibTeX XMLCite \textit{D. Shi} et al., J. Comput. Math. 23, No. 4, 373--382 (2005; Zbl 1120.65335)