Wu, Yanmi; Shi, Dongyang Uniform superconvergence analysis of a two-grid mixed finite element method for the time-dependent bi-wave problem modeling \(D\)-wave superconductors. (English) Zbl 07806679 J. Comput. Math. 42, No. 2, 415-431 (2024). MSC: 65M60 65N12 65N30 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{D. Shi}, J. Comput. Math. 42, No. 2, 415--431 (2024; Zbl 07806679) Full Text: DOI
Wu, Rongfang; Shen, Xiaoqin; Shi, Dongyang; Yu, Jiaping Nonconforming finite element methods for two-dimensional linearly elastic shallow shell model. (English) Zbl 07800012 Adv. Appl. Math. Mech. 16, No. 2, 493-518 (2024). MSC: 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{R. Wu} et al., Adv. Appl. Math. Mech. 16, No. 2, 493--518 (2024; Zbl 07800012) Full Text: DOI
Wang, Ran; Shi, Dongyang Superconvergence analysis of an \(H^1\)-Galerkin mixed FEM for Klein-Gordon-Zakharov equations with power law nonlinearity. (English) Zbl 07793590 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107787, 11 p. (2024). MSC: 65M60 65M06 65N30 65M12 65M15 35R09 76Q05 76X05 82D10 35Q35 PDFBibTeX XMLCite \textit{R. Wang} and \textit{D. Shi}, Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107787, 11 p. (2024; Zbl 07793590) Full Text: DOI
Shi, Dongyang; Qi, Zhenqi Unconditional superconvergence analysis of an energy-preserving finite element scheme for nonlinear BBM equation. (English) Zbl 07784334 Comput. Math. Appl. 153, 172-185 (2024). MSC: 65M60 65M12 65N30 65M06 35Q53 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Z. Qi}, Comput. Math. Appl. 153, 172--185 (2024; Zbl 07784334) Full Text: DOI
Shi, Dongyang; Zhang, Lingen Unconditional superconvergence analysis of modified finite difference streamlined diffusion method for nonlinear convection-dominated diffusion equation. (English) Zbl 07784328 Comput. Math. Appl. 153, 81-93 (2024). MSC: 65N30 65M15 65M60 65M06 65M12 PDFBibTeX XMLCite \textit{D. Shi} and \textit{L. Zhang}, Comput. Math. Appl. 153, 81--93 (2024; Zbl 07784328) Full Text: DOI
Shi, Dongyang; Jian, Peng Superconvergence analysis of finite element method for nonlinear semiconductor device problem. (English) Zbl 07692004 Comput. Math. Appl. 138, 1-22 (2023). MSC: 65N30 65M60 65M12 65M06 82D37 PDFBibTeX XMLCite \textit{D. Shi} and \textit{P. Jian}, Comput. Math. Appl. 138, 1--22 (2023; Zbl 07692004) Full Text: DOI
Shi, Dongyang; Zhang, Houchao Unconditional error estimates of linearized BDF2-Galerkin FEMs for nonlinear coupled Schrödinger-Helmholtz equations. (English) Zbl 07676498 Numer. Algorithms 92, No. 3, 1679-1705 (2023). MSC: 65M60 65M06 65N30 65M12 65N15 35Q60 35Q55 35Q41 PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Zhang}, Numer. Algorithms 92, No. 3, 1679--1705 (2023; Zbl 07676498) Full Text: DOI
Shi, Dongyang; Li, Chaoqun A linearized decoupled Crank-Nicolson FEM for Keller-Segel chemotactic model with nonlinear secretion. (English) Zbl 1508.65133 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107063, 25 p. (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65M12 92C17 35Q92 PDFBibTeX XMLCite \textit{D. Shi} and \textit{C. Li}, Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107063, 25 p. (2023; Zbl 1508.65133) Full Text: DOI
Yang, Huaijun; Shi, Dongyang Optimal error estimates of Galerkin method for a nonlinear parabolic integro-differential equation. (English) Zbl 1502.65151 Appl. Numer. Math. 181, 403-416 (2022). MSC: 65M60 65M06 65N30 65M15 65M12 35R09 45K05 78A25 78M10 PDFBibTeX XMLCite \textit{H. Yang} and \textit{D. Shi}, Appl. Numer. Math. 181, 403--416 (2022; Zbl 1502.65151) Full Text: DOI
Yang, Huaijun; Shi, Dongyang Unconditionally optimal error estimates of the bilinear-constant scheme for time-dependent Navier-Stokes equations. (English) Zbl 1499.65543 J. Comput. Math. 40, No. 1, 127-146 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 PDFBibTeX XMLCite \textit{H. Yang} and \textit{D. Shi}, J. Comput. Math. 40, No. 1, 127--146 (2022; Zbl 1499.65543) Full Text: DOI
Shi, Dongyang; Zhang, Houchao A linearized conservative nonconforming FEM for nonlinear Klein-Gordon-Schrödinger equations. (English) Zbl 1524.65594 Comput. Math. Appl. 106, 57-73 (2022). MSC: 65M60 35Q55 65M12 65M15 65N30 35Q41 65M06 65Y05 PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Zhang}, Comput. Math. Appl. 106, 57--73 (2022; Zbl 1524.65594) Full Text: DOI
Shi, Dongyang; Li, Chaoqun A new combined scheme of \(H^1\)-Galerkin FEM and TGM for bacterial equations. (English) Zbl 1518.65111 Appl. Numer. Math. 171, 23-31 (2022). MSC: 65M60 65M06 65N30 65M55 65N50 65M12 35K20 92D30 92-08 35Q92 PDFBibTeX XMLCite \textit{D. Shi} and \textit{C. Li}, Appl. Numer. Math. 171, 23--31 (2022; Zbl 1518.65111) Full Text: DOI
Shi, Dongyang; Jia, Xu Nonconforming quasi-Wilson finite element approximation for the nonlinear Rosenau equation. (English) Zbl 1524.65593 Appl. Math. Lett. 119, Article ID 107238, 8 p. (2021). MSC: 65M60 65M12 65N30 35Q53 65M06 PDFBibTeX XMLCite \textit{D. Shi} and \textit{X. Jia}, Appl. Math. Lett. 119, Article ID 107238, 8 p. (2021; Zbl 1524.65593) Full Text: DOI
Shi, Dongyang; Jia, Xu Superconvergence analysis of a mixed finite element approximation for the nonlinear fourth-order Rosenau-RLW equation. (English) Zbl 1524.65592 Comput. Math. Appl. 98, 169-180 (2021). MSC: 65M60 65M12 65M06 35Q53 35L75 65N30 65D05 PDFBibTeX XMLCite \textit{D. Shi} and \textit{X. Jia}, Comput. Math. Appl. 98, 169--180 (2021; Zbl 1524.65592) Full Text: DOI
Zhang, Yongwei; Ma, Chupeng; Cao, Li-qun; Shi, Dongyang Efficient multiscale algorithms for simulating nonlocal optical response of metallic nanostructure arrays. (English) Zbl 1470.65201 SIAM J. Sci. Comput. 43, No. 4, B907-B936 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N55 65N50 65F10 65Y05 78A25 78M10 82D35 82D80 35Q60 PDFBibTeX XMLCite \textit{Y. Zhang} et al., SIAM J. Sci. Comput. 43, No. 4, B907--B936 (2021; Zbl 1470.65201) Full Text: DOI arXiv
Zhang, Yongwei; Cao, Liqun; Shi, Dongyang Well-posedness and the multiscale algorithm for heterogeneous scattering of Maxwell’s equations in dispersive media. (English) Zbl 1474.65452 Int. J. Numer. Anal. Model. 18, No. 2, 235-264 (2021). MSC: 65N30 35B27 35Q60 65N12 78A45 78M10 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Int. J. Numer. Anal. Model. 18, No. 2, 235--264 (2021; Zbl 1474.65452) Full Text: Link
Yang, Huaijun; Shi, Dongyang; Liu, Qian Superconvergence analysis of low order nonconforming mixed finite element methods for time-dependent Navier-Stokes equations. (English) Zbl 1474.65373 J. Comput. Math. 39, No. 1, 63-80 (2021). MSC: 65M60 65M12 65N30 65N12 35Q30 65D05 76D05 PDFBibTeX XMLCite \textit{H. Yang} et al., J. Comput. Math. 39, No. 1, 63--80 (2021; Zbl 1474.65373) Full Text: DOI
Zhang, Yongwei; Cao, Liqun; Shi, Dongyang; Lin, Yanping Multiscale analysis and algorithm of transient electromagnetic scattering from heterogeneous materials. (English) Zbl 1466.65151 J. Comput. Appl. Math. 391, Article ID 113427, 17 p. (2021). MSC: 65M60 65M06 65N30 65M12 78A45 78M34 78M10 PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Comput. Appl. Math. 391, Article ID 113427, 17 p. (2021; Zbl 1466.65151) Full Text: DOI
Shi, Dongyang; Wu, Yanmi Quasi-uniform convergence analysis of rectangular Morley element for the singularly perturbed bi-wave equation. (English) Zbl 1464.65185 Appl. Numer. Math. 161, 169-177 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 31A30 65N12 35B25 35J30 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Y. Wu}, Appl. Numer. Math. 161, 169--177 (2021; Zbl 1464.65185) Full Text: DOI
Yao, Changhui; Shi, Dongyang; Hou, Mengmeng Superconvergence analysis for the Maxwell’s equations in Debye medium with a thermal effect. (English) Zbl 1488.65481 Adv. Appl. Math. Mech. 12, No. 1, 141-163 (2020). MSC: 65M60 65M06 65N30 65M12 65D05 78A25 78M10 78M20 35Q61 PDFBibTeX XMLCite \textit{C. Yao} et al., Adv. Appl. Math. Mech. 12, No. 1, 141--163 (2020; Zbl 1488.65481) Full Text: DOI
Liang, Conggang; Zhang, Houchao; Shi, Dongyang Convergence analysis of Wilson element for a generalized nerve conduction equation. (Chinese. English summary) Zbl 1463.65300 J. Sichuan Norm. Univ., Nat. Sci. 43, No. 2, 212-218 (2020). MSC: 65M60 65N30 65N12 92C20 35Q92 65M20 PDFBibTeX XMLCite \textit{C. Liang} et al., J. Sichuan Norm. Univ., Nat. Sci. 43, No. 2, 212--218 (2020; Zbl 1463.65300) Full Text: DOI
Liu, Qian; Shi, Dongyang Superconvergence analysis of a two-grid method for an energy-stable Ciarlet-Raviart type scheme of Cahn-Hilliard equation. (English) Zbl 1465.65101 Numer. Algorithms 85, No. 2, 607-622 (2020). MSC: 65M60 65M06 65N30 65M55 65M12 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{D. Shi}, Numer. Algorithms 85, No. 2, 607--622 (2020; Zbl 1465.65101) Full Text: DOI
Shi, Dongyang; Wu, Yanmi Nonconforming quadrilateral finite element method for nonlinear Kirchhoff-type equation with damping. (English) Zbl 1452.65248 Math. Methods Appl. Sci. 43, No. 5, 2558-2576 (2020). MSC: 65M60 65M22 65N30 65N12 65N15 35Q74 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Y. Wu}, Math. Methods Appl. Sci. 43, No. 5, 2558--2576 (2020; Zbl 1452.65248) Full Text: DOI
Wang, Junjun; Shi, Dongyang Superconvergence analysis for nonlinear reaction-diffusion equation with BDF-FEM. (English) Zbl 1446.65182 Math. Methods Appl. Sci. 43, No. 7, 4732-4743 (2020). MSC: 65N30 65M06 65N15 65M15 65N12 PDFBibTeX XMLCite \textit{J. Wang} and \textit{D. Shi}, Math. Methods Appl. Sci. 43, No. 7, 4732--4743 (2020; Zbl 1446.65182) Full Text: DOI
Li, Meng; Shi, Dongyang; Wang, Junjun Unconditional superconvergence analysis of a linearized Crank-Nicolson Galerkin FEM for generalized Ginzburg-Landau equation. (English) Zbl 1437.65197 Comput. Math. Appl. 79, No. 8, 2411-2425 (2020). MSC: 65N30 65M06 65M12 65M15 35Q56 PDFBibTeX XMLCite \textit{M. Li} et al., Comput. Math. Appl. 79, No. 8, 2411--2425 (2020; Zbl 1437.65197) Full Text: DOI arXiv
Zhang, Houchao; Shi, Dongyang; Li, Qingfu Nonconforming finite element method for a generalized nonlinear Schrödinger equation. (English) Zbl 1474.65375 Appl. Math. Comput. 377, Article ID 125141, 20 p. (2020). MSC: 65M60 65M06 65N30 65M15 65M12 35Q55 PDFBibTeX XMLCite \textit{H. Zhang} et al., Appl. Math. Comput. 377, Article ID 125141, 20 p. (2020; Zbl 1474.65375) Full Text: DOI
Guan, Hong-bo; Shi, Dong-yang Nonconforming finite element methods for the constrained optimal control problems governed by nonsmooth elliptic equations. (English) Zbl 1436.65181 Acta Math. Appl. Sin., Engl. Ser. 36, No. 2, 471-481 (2020). MSC: 65N30 65N15 65N12 35J15 93C20 35Q93 PDFBibTeX XMLCite \textit{H.-b. Guan} and \textit{D.-y. Shi}, Acta Math. Appl. Sin., Engl. Ser. 36, No. 2, 471--481 (2020; Zbl 1436.65181) Full Text: DOI
Yang, Huaijun; Shi, Dongyang Superconvergence analysis of the lowest order rectangular Raviart-Thomas element for semilinear parabolic equation. (English) Zbl 1437.65205 Appl. Math. Lett. 105, Article ID 106280, 9 p. (2020). MSC: 65N30 65M06 65M12 35J61 PDFBibTeX XMLCite \textit{H. Yang} and \textit{D. Shi}, Appl. Math. Lett. 105, Article ID 106280, 9 p. (2020; Zbl 1437.65205) Full Text: DOI
Li, Meng; Shi, Dongyang; Pei, Lifang Convergence and superconvergence analysis of finite element methods for the time fractional diffusion equation. (English) Zbl 1435.65127 Appl. Numer. Math. 151, 141-160 (2020). MSC: 65M06 65M60 65N30 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{M. Li} et al., Appl. Numer. Math. 151, 141--160 (2020; Zbl 1435.65127) Full Text: DOI
Shi, Dongyang; Wang, Ran Unconditional superconvergence analysis of a two-grid finite element method for nonlinear wave equations. (English) Zbl 1440.65268 Appl. Numer. Math. 150, 38-50 (2020). MSC: 65N55 65N30 65N12 65N50 65M60 65M06 65H10 65F10 PDFBibTeX XMLCite \textit{D. Shi} and \textit{R. Wang}, Appl. Numer. Math. 150, 38--50 (2020; Zbl 1440.65268) Full Text: DOI
Shi, Dongyang; Wu, Yanmi Uniformly superconvergent analysis of an efficient two-grid method for nonlinear bi-wave singular perturbation problem. (English) Zbl 1433.65312 Appl. Math. Comput. 367, Article ID 124772, 9 p. (2020). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Y. Wu}, Appl. Math. Comput. 367, Article ID 124772, 9 p. (2020; Zbl 1433.65312) Full Text: DOI
Shi, Dongyang; Jia, Xu Superconvergence analysis of two-grid finite element method for nonlinear Benjamin-Bona-Mahony equation. (English) Zbl 1479.65010 Appl. Numer. Math. 148, 45-60 (2020). MSC: 65M60 65M06 65N30 65M12 35Q53 PDFBibTeX XMLCite \textit{D. Shi} and \textit{X. Jia}, Appl. Numer. Math. 148, 45--60 (2020; Zbl 1479.65010) Full Text: DOI
Shi, Dongyang; Jia, Xu Superconvergence analysis of the mixed finite element method for the Rosenau equation. (English) Zbl 1464.65128 J. Math. Anal. Appl. 481, No. 1, Article ID 123485, 19 p. (2020). MSC: 65M60 65M06 65N30 65M12 35A01 35A02 35Q53 PDFBibTeX XMLCite \textit{D. Shi} and \textit{X. Jia}, J. Math. Anal. Appl. 481, No. 1, Article ID 123485, 19 p. (2020; Zbl 1464.65128) Full Text: DOI
Shi, Dongyang; Yang, Huaijun Superconvergence analysis of a new linearized MFEM for nonlinear Schrödinger equation. (English) Zbl 1499.65525 Int. J. Comput. Math. 96, No. 7, 1514-1531 (2019). MSC: 65M60 65M06 65N30 65M12 35Q55 35Q41 PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Yang}, Int. J. Comput. Math. 96, No. 7, 1514--1531 (2019; Zbl 1499.65525) Full Text: DOI
Guan, Hongbo; Shi, Dongyang An efficient NFEM for optimal control problems governed by a bilinear state equation. (English) Zbl 1442.49035 Comput. Math. Appl. 77, No. 7, 1821-1827 (2019). MSC: 49M25 65N30 PDFBibTeX XMLCite \textit{H. Guan} and \textit{D. Shi}, Comput. Math. Appl. 77, No. 7, 1821--1827 (2019; Zbl 1442.49035) Full Text: DOI
Liang, Conggang; Yang, Xiaoxia; Shi, Dongyang Convergence analysis of Wilson element for parabolic integro-differential equation. (Chinese. English summary) Zbl 1449.65317 Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 5, 1158-1169 (2019). MSC: 65N30 65N12 35R09 45K05 65M22 PDFBibTeX XMLCite \textit{C. Liang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 5, 1158--1169 (2019; Zbl 1449.65317)
Shi, Dongyang; Yang, Huaijun Unconditionally optimal error estimates of a new mixed FEM for nonlinear Schrödinger equations. (English) Zbl 1435.65164 Adv. Comput. Math. 45, No. 5-6, 3173-3194 (2019). MSC: 65M60 65M06 65N30 65N15 35Q55 35Q41 PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Yang}, Adv. Comput. Math. 45, No. 5--6, 3173--3194 (2019; Zbl 1435.65164) Full Text: DOI
Zhang, Houchao; Shi, Dongyang Superconvergence analysis for time-fractional diffusion equations with nonconforming mixed finite element method. (English) Zbl 1449.65266 J. Comput. Math. 37, No. 4, 488-505 (2019). MSC: 65M60 65N12 65N15 65N30 35R11 26A33 65M06 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{D. Shi}, J. Comput. Math. 37, No. 4, 488--505 (2019; Zbl 1449.65266) Full Text: DOI
Shi, Dongyang; Wang, Junjun Unconditional superconvergence analysis of an \({H^1}\)-Galerkin mixed finite element method for two-dimensional Ginzburg-Landau equation. (English) Zbl 1449.65258 J. Comput. Math. 37, No. 4, 437-457 (2019). MSC: 65M60 65N12 65N30 35Q56 65N15 65M15 65M06 PDFBibTeX XMLCite \textit{D. Shi} and \textit{J. Wang}, J. Comput. Math. 37, No. 4, 437--457 (2019; Zbl 1449.65258) Full Text: DOI
Shi, Dongyang; Li, Minghao; Li, Zhenzhen A nonconforming finite element method for the stationary Smagorinsky model. (English) Zbl 1428.76104 Appl. Math. Comput. 353, 308-319 (2019). MSC: 76M10 65N30 76D05 35Q35 65N15 PDFBibTeX XMLCite \textit{D. Shi} et al., Appl. Math. Comput. 353, 308--319 (2019; Zbl 1428.76104) Full Text: DOI
Xu, Chao; Shi, Dongyang Superconvergence analysis of low order nonconforming finite element methods for variational inequality problem with displacement obstacle. (English) Zbl 1429.65279 Appl. Math. Comput. 348, 1-11 (2019). MSC: 65N30 35J86 65K15 65N12 49J40 PDFBibTeX XMLCite \textit{C. Xu} and \textit{D. Shi}, Appl. Math. Comput. 348, 1--11 (2019; Zbl 1429.65279) Full Text: DOI
Shi, Dongyang; Wang, Ran Superconvergence of a two-grid method for fourth-order dispersive-dissipative wave equations. (English) Zbl 1425.65119 Math. Methods Appl. Sci. 42, No. 14, 4889-4897 (2019). MSC: 65M60 65N12 65N30 PDFBibTeX XMLCite \textit{D. Shi} and \textit{R. Wang}, Math. Methods Appl. Sci. 42, No. 14, 4889--4897 (2019; Zbl 1425.65119) Full Text: DOI
Wang, Junjun; Li, Qingfu; Shi, Dongyang Superconvergence analysis of a mixed finite element method for nonlinear parabolic equation. (Chinese. English summary) Zbl 1438.65298 Math. Numer. Sin. 41, No. 2, 191-211 (2019). MSC: 65N30 65N12 35K55 65M22 PDFBibTeX XMLCite \textit{J. Wang} et al., Math. Numer. Sin. 41, No. 2, 191--211 (2019; Zbl 1438.65298)
Shi, Dongyang; Wang, Junjun Unconditional high accuracy finite element methods for nonlinear evolution equations. (Chinese. English summary) Zbl 1438.65241 J. Math., Wuhan Univ. 39, No. 1, 1-19 (2019). MSC: 65M60 65N30 35Q55 PDFBibTeX XMLCite \textit{D. Shi} and \textit{J. Wang}, J. Math., Wuhan Univ. 39, No. 1, 1--19 (2019; Zbl 1438.65241) Full Text: DOI
Shi, Dongyang; Yan, Fengna; Wang, Junjun Unconditionally superclose analysis of a new mixed finite element method for nonlinear parabolic equations. (English) Zbl 1438.65292 J. Comput. Math. 37, No. 1, 1-17 (2019). MSC: 65N30 35K55 65M06 65M15 PDFBibTeX XMLCite \textit{D. Shi} et al., J. Comput. Math. 37, No. 1, 1--17 (2019; Zbl 1438.65292) Full Text: DOI
Shi, Dongyang; Yang, Huaijun Superconvergence analysis of finite element method for Poisson-Nernst-Planck equations. (English) Zbl 1418.65137 Numer. Methods Partial Differ. Equations 35, No. 3, 1206-1223 (2019). MSC: 65M60 65M12 65M06 65N30 35Q60 78A57 PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Yang}, Numer. Methods Partial Differ. Equations 35, No. 3, 1206--1223 (2019; Zbl 1418.65137) Full Text: DOI
Yu, Zhiyun; Shi, Dongyang; Zhu, Huiqing A low order least-squares nonconforming finite element method for steady magnetohydrodynamic equations. (English) Zbl 1419.76447 Aust. J. Math. Anal. Appl. 16, No. 1, Article No. 18, 9 p. (2019). MSC: 76M10 65N15 65N30 76W05 PDFBibTeX XMLCite \textit{Z. Yu} et al., Aust. J. Math. Anal. Appl. 16, No. 1, Article No. 18, 9 p. (2019; Zbl 1419.76447) Full Text: Link
Shi, Dongyang; Wu, Yanmi Uniform superconvergent analysis of a new mixed finite element method for nonlinear bi-wave singular perturbation problem. (English) Zbl 1414.65036 Appl. Math. Lett. 93, 131-138 (2019). MSC: 65N30 65N12 35B25 35Q56 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Y. Wu}, Appl. Math. Lett. 93, 131--138 (2019; Zbl 1414.65036) Full Text: DOI
Li, Zhenzhen; Shi, Dongyang; Li, Minghao Stabilized mixed finite element methods for the Navier-Stokes equations with damping. (English) Zbl 1409.65097 Math. Methods Appl. Sci. 42, No. 2, 605-619 (2019). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{Z. Li} et al., Math. Methods Appl. Sci. 42, No. 2, 605--619 (2019; Zbl 1409.65097) Full Text: DOI
Xu, Chao; Zhou, Jiaquan; Shi, Dongyang; Zhang, Houchao Low order nonconforming finite element method for time-dependent nonlinear Schrödinger equation. (English) Zbl 1499.65540 Bound. Value Probl. 2018, Paper No. 174, 17 p. (2018). MSC: 65M60 65M06 65N30 65N55 65M12 65M15 35Q55 35Q41 PDFBibTeX XMLCite \textit{C. Xu} et al., Bound. Value Probl. 2018, Paper No. 174, 17 p. (2018; Zbl 1499.65540) Full Text: DOI
Shi, Yanhua; Zhao, Yanmin; Wang, Fenling; Shi, Dongyang A new error analysis of nonconforming \(EQ^{rot}_1\) FEM for nonlinear BBM equation. (English) Zbl 1488.65456 Adv. Appl. Math. Mech. 10, No. 5, 1227-1246 (2018). MSC: 65M60 65M06 65N30 65M12 65M15 35Q53 PDFBibTeX XMLCite \textit{Y. Shi} et al., Adv. Appl. Math. Mech. 10, No. 5, 1227--1246 (2018; Zbl 1488.65456) Full Text: DOI
Li, Minghao; Shi, Dongyang; Dai, Ying New residual based stabilization method for the elasticity problem. (English) Zbl 1488.65638 Adv. Appl. Math. Mech. 10, No. 1, 100-113 (2018). MSC: 65N30 65N15 65N12 74B10 PDFBibTeX XMLCite \textit{M. Li} et al., Adv. Appl. Math. Mech. 10, No. 1, 100--113 (2018; Zbl 1488.65638) Full Text: DOI
Zhang, Houchao; Wang, Junjun; Shi, Dongyang A type of new lower order nonconforming mixed finite elements methods for the extended Fisher-Kolmogorov equation. (Chinese. English summary) Zbl 1424.65231 Acta Math. Sci., Ser. A, Chin. Ed. 38, No. 3, 571-587 (2018). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{H. Zhang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 38, No. 3, 571--587 (2018; Zbl 1424.65231)
Shi, Dongyang; Wu, Yanmi Uniform superconvergence analysis of Ciarlet-Raviart scheme for bi-wave singular perturbation problem. (English) Zbl 1405.65128 Math. Methods Appl. Sci. 41, No. 17, 7906-7914 (2018). MSC: 65M60 65N12 65N30 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Y. Wu}, Math. Methods Appl. Sci. 41, No. 17, 7906--7914 (2018; Zbl 1405.65128) Full Text: DOI
Li, Ming-hao; Shi, Dong-yang; Li, Zhen-zhen The stabilized mixed finite element scheme of elasticity problem. (English) Zbl 1404.65227 Comput. Appl. Math. 37, No. 3, 2588-2604 (2018). MSC: 65N12 65N30 74B10 PDFBibTeX XMLCite \textit{M.-h. Li} et al., Comput. Appl. Math. 37, No. 3, 2588--2604 (2018; Zbl 1404.65227) Full Text: DOI
Shi, Dongyang; Wang, Junjun; Yan, Fengna Superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{\mathrm{rot}}\) nonconforming finite element. (English) Zbl 1398.65274 Comput. Appl. Math. 37, No. 1, 307-327 (2018). MSC: 65N15 65N30 PDFBibTeX XMLCite \textit{D. Shi} et al., Comput. Appl. Math. 37, No. 1, 307--327 (2018; Zbl 1398.65274) Full Text: DOI
Xu, Chao; Shi, Dongyang; Liao, Xin A new streamline diffusion finite element method for the generalized Oseen problem. (English) Zbl 1382.65422 AMM, Appl. Math. Mech., Engl. Ed. 39, No. 2, 291-304 (2018). MSC: 65N30 76M10 65N15 PDFBibTeX XMLCite \textit{C. Xu} et al., AMM, Appl. Math. Mech., Engl. Ed. 39, No. 2, 291--304 (2018; Zbl 1382.65422) Full Text: DOI
Wang, Zhijun; Hao, Xiaobin; Shi, Dongyang A second order nonconforming triangular mixed finite element scheme for the stationary Navier-Stokes equations. (English) Zbl 1424.65228 Chin. Q. J. Math. 32, No. 1, 88-98 (2017). MSC: 65N30 65N12 65N15 76D05 PDFBibTeX XMLCite \textit{Z. Wang} et al., Chin. Q. J. Math. 32, No. 1, 88--98 (2017; Zbl 1424.65228) Full Text: DOI
Zhang, Houchao; Shi, Dongyang High accuracy analysis of a new low order nonconforming mixed finite element method for the EFK equation. (Chinese. English summary) Zbl 1399.65345 Appl. Math., Ser. A (Chin. Ed.) 32, No. 4, 437-454 (2017). MSC: 65N30 65N12 65N15 35Q92 35B45 65M06 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{D. Shi}, Appl. Math., Ser. A (Chin. Ed.) 32, No. 4, 437--454 (2017; Zbl 1399.65345)
Shi, Dongyang; Liao, Xin; Wang, Lele A nonconforming quadrilateral finite element approximation to nonlinear Schrödinger equation. (English) Zbl 1399.65336 Acta Math. Sci., Ser. B, Engl. Ed. 37, No. 3, 584-592 (2017). MSC: 65N30 65N15 35Q55 65D05 PDFBibTeX XMLCite \textit{D. Shi} et al., Acta Math. Sci., Ser. B, Engl. Ed. 37, No. 3, 584--592 (2017; Zbl 1399.65336) Full Text: DOI
Guan, Hong-Bo; Shi, Dong-Yang A nonconforming finite element method for constrained optimal control problems governed by parabolic equations. (English) Zbl 1448.65161 Taiwanese J. Math. 21, No. 5, 1193-1211 (2017). MSC: 65M60 65N30 65M15 49M25 49J20 PDFBibTeX XMLCite \textit{H.-B. Guan} and \textit{D.-Y. Shi}, Taiwanese J. Math. 21, No. 5, 1193--1211 (2017; Zbl 1448.65161) Full Text: DOI Euclid
Wang, Fenling; Fan, Mingzhi; Shi, Dongyang High accuracy analysis of a new \({H^1}\)-Galerkin lowest order mixed finite element scheme for quasi-linear viscoelasticity equations. (Chinese. English summary) Zbl 1399.65338 Math. Appl. 30, No. 1, 40-55 (2017). MSC: 65N30 65N12 65M06 76A10 74D10 PDFBibTeX XMLCite \textit{F. Wang} et al., Math. Appl. 30, No. 1, 40--55 (2017; Zbl 1399.65338)
Pei, Lifang; Shi, Dongyang A new error analysis of Bergan’s energy-orthogonal element for a plate contact problem. (English) Zbl 1393.74130 Appl. Math. Lett. 69, 67-74 (2017). MSC: 74M15 74S05 65K15 65N15 65N30 74K20 PDFBibTeX XMLCite \textit{L. Pei} and \textit{D. Shi}, Appl. Math. Lett. 69, 67--74 (2017; Zbl 1393.74130) Full Text: DOI
Shi, Dong-yang; Wang, Fen-ling; Zhao, Yan-min High accuracy analysis of the lowest order \(H^1\)-Galerkin mixed finite element method for nonlinear sine-Gordon equations. (English) Zbl 1372.65312 Acta Math. Appl. Sin., Engl. Ser. 33, No. 3, 699-708 (2017). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{D.-y. Shi} et al., Acta Math. Appl. Sin., Engl. Ser. 33, No. 3, 699--708 (2017; Zbl 1372.65312) Full Text: DOI
Shi, Dongyang; Wang, Lele; Liao, Xin New estimates of mixed finite element method for fourth-order wave equation. (English) Zbl 1368.65236 Math. Methods Appl. Sci. 40, No. 12, 4448-4461 (2017). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{D. Shi} et al., Math. Methods Appl. Sci. 40, No. 12, 4448--4461 (2017; Zbl 1368.65236) Full Text: DOI
Shi, Dongyang; Wang, Lele; Liao, Xin A new nonconforming mixed finite element scheme for second order eigenvalue problem. (English) Zbl 1410.65438 Appl. Math. Comput. 273, 842-855 (2016). MSC: 65N25 65N30 35J25 35P05 PDFBibTeX XMLCite \textit{D. Shi} et al., Appl. Math. Comput. 273, 842--855 (2016; Zbl 1410.65438) Full Text: DOI
Yao, Changhui; Shi, Dongyang Nonconforming mixed finite element method for time-dependent Maxwell’s equations with ABC. (English) Zbl 1389.78009 Numer. Math., Theory Methods Appl. 9, No. 2, 193-214 (2016). MSC: 78M10 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{C. Yao} and \textit{D. Shi}, Numer. Math., Theory Methods Appl. 9, No. 2, 193--214 (2016; Zbl 1389.78009) Full Text: DOI Link
Shi, Dongyang; Pei, Lifang Double set parameter finite element method for two-sided displacement obstacle problem of clamped plate. (English) Zbl 1335.74055 J. Math. Anal. Appl. 436, No. 1, 203-216 (2016). MSC: 74S05 65N30 49J40 65K15 65N15 74K20 PDFBibTeX XMLCite \textit{D. Shi} and \textit{L. Pei}, J. Math. Anal. Appl. 436, No. 1, 203--216 (2016; Zbl 1335.74055) Full Text: DOI
Guan, Hongbo; Shi, Dongyang; Guan, Xiaofei High accuracy analysis of nonconforming MFEM for constrained optimal control problems governed by Stokes equations. (English) Zbl 1330.65178 Appl. Math. Lett. 53, 17-24 (2016). MSC: 65N30 49M25 49K20 PDFBibTeX XMLCite \textit{H. Guan} et al., Appl. Math. Lett. 53, 17--24 (2016; Zbl 1330.65178) Full Text: DOI
Li, Minghao; Shi, Dongyang; Dai, Ying Stabilized low order finite elements for Stokes equations with damping. (English) Zbl 1330.76073 J. Math. Anal. Appl. 435, No. 1, 646-660 (2016). MSC: 76M10 76D05 65N30 35Q30 PDFBibTeX XMLCite \textit{M. Li} et al., J. Math. Anal. Appl. 435, No. 1, 646--660 (2016; Zbl 1330.76073) Full Text: DOI
Shi, Dongyang; Tang, Qili; Gong, Wei A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term. (English) Zbl 07313376 Math. Comput. Simul. 114, 25-36 (2015). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{D. Shi} et al., Math. Comput. Simul. 114, 25--36 (2015; Zbl 07313376) Full Text: DOI
Shi, Dongyang; Wang, Lele; Liao, Xin Nonconforming finite element analysis for Poisson eigenvalue problem. (English) Zbl 1443.65371 Comput. Math. Appl. 70, No. 5, 835-845 (2015). MSC: 65N30 65N12 65N25 35J05 35P05 PDFBibTeX XMLCite \textit{D. Shi} et al., Comput. Math. Appl. 70, No. 5, 835--845 (2015; Zbl 1443.65371) Full Text: DOI
Guan, Hongbo; Shi, Dongyang A stable nonconforming mixed finite element scheme for elliptic optimal control problems. (English) Zbl 1443.49036 Comput. Math. Appl. 70, No. 3, 236-243 (2015). MSC: 49M25 65N12 65N30 PDFBibTeX XMLCite \textit{H. Guan} and \textit{D. Shi}, Comput. Math. Appl. 70, No. 3, 236--243 (2015; Zbl 1443.49036) Full Text: DOI
Li, Xinxiang; Zhao, Mingxia; Shi, Dongyang Superconvergence and extrapolation of quasi-Wilson element for nonsymmetric and indefinite problem. (Chinese. English summary) Zbl 1349.65587 Math. Pract. Theory 45, No. 12, 252-259 (2015). MSC: 65N12 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{X. Li} et al., Math. Pract. Theory 45, No. 12, 252--259 (2015; Zbl 1349.65587)
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
Niu, Yuqi; Shi, Dongyang Superconvergence analysis of \(Q_2\)-\(P_1\) mixed element solution to Stokes type integro-differential equations. (Chinese. English summary) Zbl 1363.65201 J. Math., Wuhan Univ. 35, No. 5, 1225-1232 (2015). MSC: 65N30 65N12 65N15 45K05 65R20 76M10 PDFBibTeX XMLCite \textit{Y. Niu} and \textit{D. Shi}, J. Math., Wuhan Univ. 35, No. 5, 1225--1232 (2015; Zbl 1363.65201)
Shi, Dongyang; Pei, Lifang Nonconforming double set parameter finite element methods for a fourth order variational inequality with two-sided displacement obstacle. (English) Zbl 1333.65133 J. Inequal. Appl. 2015, Paper No. 246, 17 p. (2015). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{D. Shi} and \textit{L. Pei}, J. Inequal. Appl. 2015, Paper No. 246, 17 p. (2015; Zbl 1333.65133) Full Text: DOI
Shi, Dong-yang; Li, Ming-hao; Xu, Chao A new stabilization method for the elasticity problem. (English) Zbl 1330.74167 J. Sci. Comput. 65, No. 3, 1025-1038 (2015). MSC: 74S05 65N30 65N12 65N15 74B05 PDFBibTeX XMLCite \textit{D.-y. Shi} et al., J. Sci. Comput. 65, No. 3, 1025--1038 (2015; Zbl 1330.74167) Full Text: DOI
Guan, Hongbo; Shi, Dongyang \(P_1\)-nonconforming triangular finite element method for elliptic and parabolic interface problems. (English) Zbl 1322.65106 AMM, Appl. Math. Mech., Engl. Ed. 36, No. 9, 1197-1212 (2015). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{H. Guan} and \textit{D. Shi}, AMM, Appl. Math. Mech., Engl. Ed. 36, No. 9, 1197--1212 (2015; Zbl 1322.65106) Full Text: DOI
Shi, Dong-yang; Cui, Hong-xin; Guan, Hong-bo Streamline-diffusion method of a lowest order nonconforming rectangular finite element for convection-diffusion problem. (English) Zbl 1321.65176 Acta Math. Appl. Sin., Engl. Ser. 31, No. 2, 427-434 (2015). Reviewer: K. N. Shukla (Gurgaon) MSC: 65N30 65N15 35J25 65N12 PDFBibTeX XMLCite \textit{D.-y. Shi} et al., Acta Math. Appl. Sin., Engl. Ser. 31, No. 2, 427--434 (2015; Zbl 1321.65176) Full Text: DOI
Shi, Dongyang; Li, Minghao Superconvergence analysis for the stable conforming rectangular mixed finite elements for linear elasticity problems. (English) Zbl 1313.74031 J. Comput. Math. 32, No. 2, 205-214 (2014). MSC: 74B10 74S10 65N30 65N12 PDFBibTeX XMLCite \textit{D. Shi} and \textit{M. Li}, J. Comput. Math. 32, No. 2, 205--214 (2014; Zbl 1313.74031) Full Text: DOI
Shi, Dongyang; Li, Minghao High accuracy analysis of new schemes for second order elliptic problem for recurrent event data. (Chinese. English summary) Zbl 1313.65308 Acta Math. Appl. Sin. 37, No. 1, 45-58 (2014). MSC: 65N30 65N12 35J05 65N50 PDFBibTeX XMLCite \textit{D. Shi} and \textit{M. Li}, Acta Math. Appl. Sin. 37, No. 1, 45--58 (2014; Zbl 1313.65308)
Shi, Dongyang; Zhang, Ding A new second order fully-discrete scheme for sine-Gordon equations with \(EQ^{\text{rot}_1}\) nonconforming finite element. (English) Zbl 1313.65310 Math. Appl. 27, No. 1, 26-33 (2014). MSC: 65N30 65N15 35Q40 65N12 PDFBibTeX XMLCite \textit{D. Shi} and \textit{D. Zhang}, Math. Appl. 27, No. 1, 26--33 (2014; Zbl 1313.65310)
Shi, Dong-yang; Wang, Hui-min The Crouzeix-Raviart type nonconforming finite element method for the nonstationary Navier-Stokes equations on anisotropic meshes. (English) Zbl 1299.76151 Acta Math. Appl. Sin., Engl. Ser. 30, No. 1, 145-156 (2014). MSC: 76M10 76D05 65N30 65N15 35Q30 PDFBibTeX XMLCite \textit{D.-y. Shi} and \textit{H.-m. Wang}, Acta Math. Appl. Sin., Engl. Ser. 30, No. 1, 145--156 (2014; Zbl 1299.76151) Full Text: DOI
Pei, Lifang; Shi, Dongyang Superconvergence of a new nonconforming mixed finite element scheme for elliptic problem. (English) Zbl 1299.65271 Math. Probl. Eng. 2013, Article ID 829820, 9 p. (2013). MSC: 65N30 65N12 35J99 PDFBibTeX XMLCite \textit{L. Pei} and \textit{D. Shi}, Math. Probl. Eng. 2013, Article ID 829820, 9 p. (2013; Zbl 1299.65271)
Shi, Dongyang; Wang, Haihong The economical difference-streamline diffusion nonconforming finite method for a class of Sobolev equations with convection-dominated term. (Chinese. English summary) Zbl 1313.65309 Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 6, 1148-1161 (2013). MSC: 65N30 65N15 65N06 35J60 PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Wang}, Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 6, 1148--1161 (2013; Zbl 1313.65309)
Ren, Jincheng; Shi, Dongyang Convergence of a low order 3D nonconforming mixed finite element scheme for the Stokes problem. (English) Zbl 1313.76031 Chin. J. Eng. Math. 30, No. 5, 781-790 (2013). MSC: 76D05 76M10 65N30 65N15 65N12 PDFBibTeX XMLCite \textit{J. Ren} and \textit{D. Shi}, Chin. J. Eng. Math. 30, No. 5, 781--790 (2013; Zbl 1313.76031) Full Text: DOI
Shi, Dongyang; Yu, Zhiyun Superclose and superconvergence analysis of a low-order nonconforming mixed finite element method for stationary Stokes equations with damping. (Chinese. English summary) Zbl 1313.76032 Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 4, 735-745 (2013). MSC: 76D05 76M10 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Z. Yu}, Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 4, 735--745 (2013; Zbl 1313.76032)
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)
Shi, Dongyang; Yu, Zhiyun Superclose and superconvergence of finite element discretizations for the Stokes equations with damping. (English) Zbl 1366.76056 Appl. Math. Comput. 219, No. 14, 7693-7698 (2013). MSC: 76M10 76D07 65N12 65N30 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Z. Yu}, Appl. Math. Comput. 219, No. 14, 7693--7698 (2013; Zbl 1366.76056) Full Text: DOI
Shi, Dongyang; Wang, Fenling; Shi, Yanhua A general scheme of high accuracy analysis for an anisotropic \(EQ^{\mathrm{rot}}_1\) nonconforming element. (Chinese. English summary) Zbl 1299.65272 Math. Numer. Sin. 35, No. 3, 239-252 (2013). MSC: 65N30 65N15 35J25 65N12 PDFBibTeX XMLCite \textit{D. Shi} et al., Math. Numer. Sin. 35, No. 3, 239--252 (2013; Zbl 1299.65272)
Shi, Dongyang; Mo, Junhui; Li, Minghao A new mixed finite element scheme for second order eigenvalue problem. (Chinese. English summary) Zbl 1289.65254 Math. Appl. 26, No. 3, 506-514 (2013). MSC: 65N25 65N30 35P15 65N12 PDFBibTeX XMLCite \textit{D. Shi} et al., Math. Appl. 26, No. 3, 506--514 (2013; Zbl 1289.65254)
Shi, Dongyang; Yu, Zhiyun Nonconforming mixed finite element methods for stationary incompressible magnetohydrodynamics. (English) Zbl 1426.76306 Int. J. Numer. Anal. Model. 10, No. 4, 904-919 (2013). MSC: 76M10 76W05 65N30 65N15 65N12 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Z. Yu}, Int. J. Numer. Anal. Model. 10, No. 4, 904--919 (2013; Zbl 1426.76306) Full Text: Link
Shi, Yanhua; Shi, Dongyang Superconvergence and extrapolation of the bilinear finite element method for nonsymmetric and indefinite problems. (Chinese. English summary) Zbl 1289.65248 Math. Appl. 26, No. 1, 220-227 (2013). MSC: 65N12 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{D. Shi}, Math. Appl. 26, No. 1, 220--227 (2013; Zbl 1289.65248)
Wu, Jingzhu; Xing, Xiuzhi; Shi, Dongyang A composite penalty method of a low order anisotropic nonconforming finite element for the Stokes problem. (English) Zbl 1289.76056 Appl. Math., Ser. B (Engl. Ed.) 28, No. 1, 49-56 (2013). MSC: 76M10 76D07 65N30 65N15 PDFBibTeX XMLCite \textit{J. Wu} et al., Appl. Math., Ser. B (Engl. Ed.) 28, No. 1, 49--56 (2013; Zbl 1289.76056) Full Text: DOI
Shi, Dong-yang; Xu, Chao; Chen, Jin-huan Anisotropic nonconforming \(EQ_1^{rot}\) quadrilateral finite element approximation to second-order elliptic problems. (English) Zbl 1276.65085 J. Sci. Comput. 56, No. 3, 637-653 (2013). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 35J25 65N15 65N50 PDFBibTeX XMLCite \textit{D.-y. Shi} et al., J. Sci. Comput. 56, No. 3, 637--653 (2013; Zbl 1276.65085) Full Text: DOI
Shi, DongYang; Xu, Chao \(EQ^{\text{rot}}_1\) nonconforming finite element approximation to Signorini problem. (English) Zbl 1273.74548 Sci. China, Math. 56, No. 6, 1301-1311 (2013). MSC: 74S05 65N15 65N30 35Q74 PDFBibTeX XMLCite \textit{D. Shi} and \textit{C. Xu}, Sci. China, Math. 56, No. 6, 1301--1311 (2013; Zbl 1273.74548) Full Text: DOI
Shi, Dong-yang; Pei, Li-fang Superconvergence of nonconforming finite element penalty scheme for Stokes problem using \(L^2\) projection method. (English) Zbl 1269.65128 Appl. Math. Mech., Engl. Ed. 34, No. 7, 861-874 (2013). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{D.-y. Shi} and \textit{L.-f. Pei}, Appl. Math. Mech., Engl. Ed. 34, No. 7, 861--874 (2013; Zbl 1269.65128) Full Text: DOI
Shi, Dongyang; Wang, Lele A new nonconforming mixed finite element scheme for nonlinear Sobolev equations. (Chinese. English summary) Zbl 1289.65261 J. Zhengzhou Univ., Nat. Sci. Ed. 44, No. 4, 1-5 (2012). MSC: 65N30 65N15 65N12 35J66 PDFBibTeX XMLCite \textit{D. Shi} and \textit{L. Wang}, J. Zhengzhou Univ., Nat. Sci. Ed. 44, No. 4, 1--5 (2012; Zbl 1289.65261)
Chen, Jinhuan; Shi, Dongwei; Shi, Dongyang Nonconforming finite element analysis for the generalized nerve conduction type equation. (Chinese. English summary) Zbl 1289.65256 Math. Pract. Theory 42, No. 16, 258-263 (2012). MSC: 65N30 65N12 65N15 35Q92 92C20 PDFBibTeX XMLCite \textit{J. Chen} et al., Math. Pract. Theory 42, No. 16, 258--263 (2012; Zbl 1289.65256)