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
Zhang, Sihui; Shi, Xiangyu; Shi, Dongyang Nonconforming modified quasi-Wilson finite element method for convection-diffusion-reaction equation. (English) Zbl 1520.65069 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107333, 21 p. (2023). MSC: 65M60 35K57 65M12 PDFBibTeX XMLCite \textit{S. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107333, 21 p. (2023; Zbl 1520.65069) 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, Sihui Unconditional superconvergence analysis for the nonlinear bi-flux diffusion equation. (English) Zbl 1511.65106 Appl. Math. Comput. 442, Article ID 127771, 20 p. (2023). MSC: 65M60 65M15 35K05 65M12 PDFBibTeX XMLCite \textit{D. Shi} and \textit{S. Zhang}, Appl. Math. Comput. 442, Article ID 127771, 20 p. (2023; Zbl 1511.65106) 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
Yu, Zhiyun; Shi, Dongyang; Zhu, Huiqing A low order nonconforming mixed finite element method for non-stationary incompressible magnetohydrodynamics system. (English) Zbl 1515.65253 J. Comput. Math. 41, No. 4, 545-563 (2023). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{Z. Yu} et al., J. Comput. Math. 41, No. 4, 545--563 (2023; Zbl 1515.65253) 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
Shi, Dongyang; Jia, Xu Convergence analysis of the Galerkin finite element method for the fourth-order Rosenau equation. (English) Zbl 1503.65246 Appl. Math. Lett. 135, Article ID 108432, 7 p. (2023). MSC: 65M60 35Q53 65M12 PDFBibTeX XMLCite \textit{D. Shi} and \textit{X. Jia}, Appl. Math. Lett. 135, Article ID 108432, 7 p. (2023; Zbl 1503.65246) 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; Zhang, Sihui Unconditional superconvergence of the fully-discrete schemes for nonlinear prey-predator model. (English) Zbl 1484.92005 Appl. Numer. Math. 172, 118-132 (2022). MSC: 92-08 65M60 35Q92 65M12 92D25 PDFBibTeX XMLCite \textit{D. Shi} and \textit{S. Zhang}, Appl. Numer. Math. 172, 118--132 (2022; Zbl 1484.92005) 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
Wu, Yanmi; Shi, Dongyang Quasi-uniform convergence analysis of a modified penalty finite element method for nonlinear singularly perturbed bi-wave problem. (English) Zbl 07776042 Numer. Methods Partial Differ. Equations 37, No. 2, 1766-1780 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Y. Wu} and \textit{D. Shi}, Numer. Methods Partial Differ. Equations 37, No. 2, 1766--1780 (2021; Zbl 07776042) 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; 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
Li, Zhenzhen; Li, Minghao; Shi, Dongyang Unconditional convergence and superconvergence analysis for the transient Stokes equations with damping. (English) Zbl 1508.76071 Appl. Math. Comput. 389, Article ID 125572, 12 p. (2021). MSC: 76M10 65M60 65M12 65M15 76D07 PDFBibTeX XMLCite \textit{Z. Li} et al., Appl. Math. Comput. 389, Article ID 125572, 12 p. (2021; Zbl 1508.76071) 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
Shi, Dongyang; Li, Chaoqun Superconvergence analysis of two-grid methods for bacteria equations. (English) Zbl 1456.65122 Numer. Algorithms 86, No. 1, 123-152 (2021). MSC: 65M60 65M06 65M55 65Z05 65M12 35K40 92C50 PDFBibTeX XMLCite \textit{D. Shi} and \textit{C. Li}, Numer. Algorithms 86, No. 1, 123--152 (2021; Zbl 1456.65122) 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
Shi, Dongyang; Liu, Qian Superconvergent analysis of a nonconforming mixed finite element method for non-stationary conduction-convection problem. (English) Zbl 1443.65222 Comput. Math. Appl. 79, No. 2, 230-243 (2020). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Q. Liu}, Comput. Math. Appl. 79, No. 2, 230--243 (2020; Zbl 1443.65222) 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
Wei, Yifan; Shi, Dongyang Superconvergence analysis of a two-grid method for nonlinear hyperbolic equations. (English) Zbl 1447.65065 Comput. Math. Appl. 79, No. 10, 2846-2855 (2020). MSC: 65M55 65M60 65M22 65M12 35L70 PDFBibTeX XMLCite \textit{Y. Wei} and \textit{D. Shi}, Comput. Math. Appl. 79, No. 10, 2846--2855 (2020; Zbl 1447.65065) 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; Liu, Qian Superconvergence analysis of a two grid finite element method for Ginzburg-Landau equation. (English) Zbl 1433.65222 Appl. Math. Comput. 365, Article ID 124691, 10 p. (2020). MSC: 65M60 65M12 35Q56 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Q. Liu}, Appl. Math. Comput. 365, Article ID 124691, 10 p. (2020; Zbl 1433.65222) 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; Liu, Qian Unconditional superconvergent analysis of a linearized finite element method for Ginzburg-Landau equation. (English) Zbl 1427.35262 Appl. Numer. Math. 147, 118-128 (2020). MSC: 35Q56 65M06 65M12 65M15 65N15 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Q. Liu}, Appl. Numer. Math. 147, 118--128 (2020; Zbl 1427.35262) 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
Ren, Jincheng; Shi, Dongyang A new approach of high accuracy analysis of fully discrete finite element method for distributed order fractional wave equations. (Chinese. English summary) Zbl 1463.65307 Acta Math. Appl. Sin. 42, No. 3, 410-424 (2019). MSC: 65M60 65M12 35R11 65M15 PDFBibTeX XMLCite \textit{J. Ren} and \textit{D. Shi}, Acta Math. Appl. Sin. 42, No. 3, 410--424 (2019; Zbl 1463.65307)
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)
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
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; Yang, Huaijun Superconvergence analysis of nonconforming FEM for nonlinear time-dependent thermistor problem. (English) Zbl 1429.65231 Appl. Math. Comput. 347, 210-224 (2019). MSC: 65M60 65M12 80M10 PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Yang}, Appl. Math. Comput. 347, 210--224 (2019; Zbl 1429.65231) 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; Liu, Qian An efficient nonconforming finite element two-grid method for Allen-Cahn equation. (English) Zbl 1464.65112 Appl. Math. Lett. 98, 374-380 (2019). MSC: 65M55 65M60 65M12 35K20 35K91 74N20 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Q. Liu}, Appl. Math. Lett. 98, 374--380 (2019; Zbl 1464.65112) 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
Li, Meng; Shi, Dongyang; Wang, Junjun; Ming, Wanyuan Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation. (English) Zbl 1477.65160 Appl. Numer. Math. 142, 47-63 (2019). MSC: 65M60 35Q55 65M12 65M15 PDFBibTeX XMLCite \textit{M. Li} et al., Appl. Numer. Math. 142, 47--63 (2019; Zbl 1477.65160) Full Text: DOI
Shi, Dongyang; Liu, Qian Unconditional superconvergent analysis of a new mixed finite element method for Ginzburg-Landau equation. (English) Zbl 1419.65042 Numer. Methods Partial Differ. Equations 35, No. 1, 422-439 (2019). MSC: 65M12 65M60 35Q56 65M15 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Q. Liu}, Numer. Methods Partial Differ. Equations 35, No. 1, 422--439 (2019; Zbl 1419.65042) Full Text: DOI
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, Minghao; Shi, Dongyang; Li, Zhenzhen; Chen, Hongru Two-level mixed finite element methods for the Navier-Stokes equations with damping. (English) Zbl 1404.65177 J. Math. Anal. Appl. 470, No. 1, 292-307 (2019). MSC: 65M60 76D05 76M10 65M15 76D07 35A15 65M12 PDFBibTeX XMLCite \textit{M. Li} et al., J. Math. Anal. Appl. 470, No. 1, 292--307 (2019; Zbl 1404.65177) 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
Shi, Dongyang; Yang, Huaijun A new approach of superconvergence analysis for two-dimensional time fractional diffusion equation. (English) Zbl 1415.65231 Comput. Math. Appl. 75, No. 8, 3012-3023 (2018). MSC: 65M60 65M12 35R11 PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Yang}, Comput. Math. Appl. 75, No. 8, 3012--3023 (2018; Zbl 1415.65231) Full Text: DOI
Shi, Dongyang; Yang, Huaijun Superconvergence analysis of finite element method for time-fractional thermistor problem. (English) Zbl 1427.65259 Appl. Math. Comput. 323, 31-42 (2018). MSC: 65M60 65M12 35R11 35Q79 PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Yang}, Appl. Math. Comput. 323, 31--42 (2018; Zbl 1427.65259) Full Text: DOI
Wang, Fenling; Fan, Mingzhi; Zhao, Yanmin; Shi, Zhengguang; Shi, Dongyang High accuracy analysis of anisotropic linear triangular element for multi-term time fractional diffusion equations. (Chinese. English summary) Zbl 1424.65170 Math. Numer. Sin. 40, No. 3, 299-312 (2018). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{F. Wang} et al., Math. Numer. Sin. 40, No. 3, 299--312 (2018; Zbl 1424.65170)
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
Shi, Dongyang; Wang, Junjun Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear Schrödinger equation. (English) Zbl 1402.65117 Math. Methods Appl. Sci. 41, No. 16, 6155-6169 (2018). MSC: 65M60 65M12 35Q55 PDFBibTeX XMLCite \textit{D. Shi} and \textit{J. Wang}, Math. Methods Appl. Sci. 41, No. 16, 6155--6169 (2018; Zbl 1402.65117) 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; Mu, Pengcong; Yang, Huaijun Superconvergence analysis of a two-grid method for semilinear parabolic equations. (English) Zbl 1457.65091 Appl. Math. Lett. 84, 34-41 (2018). MSC: 65M55 65M60 65M06 65M12 35K58 PDFBibTeX XMLCite \textit{D. Shi} et al., Appl. Math. Lett. 84, 34--41 (2018; Zbl 1457.65091) Full Text: DOI
Shi, Dongyang; Yang, Huaijun Superconvergence analysis of a new low order nonconforming MFEM for time-fractional diffusion equation. (English) Zbl 1395.65089 Appl. Numer. Math. 131, 109-122 (2018). MSC: 65M60 35R11 65M12 PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Yang}, Appl. Numer. Math. 131, 109--122 (2018; Zbl 1395.65089) Full Text: DOI
Shi, Dongyang; Wang, Junjun; Yan, Fengna Unconditional superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for nonlinear Sobolev equations. (English) Zbl 1390.65120 Numer. Methods Partial Differ. Equations 34, No. 1, 145-166 (2018). Reviewer: T. C. Mohan (Chennai) MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{D. Shi} et al., Numer. Methods Partial Differ. Equations 34, No. 1, 145--166 (2018; Zbl 1390.65120) Full Text: DOI
Shi, Dongyang; Yang, Huaijun Superconvergent estimates of conforming finite element method for nonlinear time-dependent joule heating equations. (English) Zbl 1390.65056 Numer. Methods Partial Differ. Equations 34, No. 1, 336-356 (2018). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M60 65M12 65M15 78M10 PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Yang}, Numer. Methods Partial Differ. Equations 34, No. 1, 336--356 (2018; Zbl 1390.65056) Full Text: DOI
Shi, Dongyang; Wang, Junjun Unconditional superconvergence analysis for nonlinear hyperbolic equation with nonconforming finite element. (English) Zbl 1411.65134 Appl. Math. Comput. 305, 1-16 (2017). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{D. Shi} and \textit{J. Wang}, Appl. Math. Comput. 305, 1--16 (2017; Zbl 1411.65134) Full Text: DOI
Shi, Dongyang; Wang, Junjun Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation. (English) Zbl 1411.65133 Appl. Math. Comput. 294, 216-226 (2017). MSC: 65M60 35K20 35K59 65M12 PDFBibTeX XMLCite \textit{D. Shi} and \textit{J. Wang}, Appl. Math. Comput. 294, 216--226 (2017; Zbl 1411.65133) 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)
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
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; Wang, Junjun Unconditional superconvergence analysis of a Crank-Nicolson Galerkin FEM for nonlinear Schrödinger equation. (English) Zbl 1407.65162 J. Sci. Comput. 72, No. 3, 1093-1118 (2017). Reviewer: Elena V. Tabarintseva (Chelyabinsk) MSC: 65M12 65M06 65M60 35Q55 PDFBibTeX XMLCite \textit{D. Shi} and \textit{J. Wang}, J. Sci. Comput. 72, No. 3, 1093--1118 (2017; Zbl 1407.65162) Full Text: DOI
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)
Shi, Dongyang; Wang, Junjun; Yan, Fengna Unconditional superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{rot}\) nonconforming finite element. (English) Zbl 1368.65162 J. Sci. Comput. 70, No. 1, 85-111 (2017). Reviewer: Charis Harley (Johannesburg) MSC: 65M12 65M60 35K55 65M15 PDFBibTeX XMLCite \textit{D. Shi} et al., J. Sci. Comput. 70, No. 1, 85--111 (2017; Zbl 1368.65162) Full Text: DOI
Zhao, Y. M.; Zhang, Y. D.; Liu, F.; Turner, I.; Shi, D. Y. Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation. (English) Zbl 1471.65156 Appl. Math. Modelling 40, No. 19-20, 8810-8825 (2016). MSC: 65M60 65M12 35R11 PDFBibTeX XMLCite \textit{Y. M. Zhao} et al., Appl. Math. Modelling 40, No. 19--20, 8810--8825 (2016; Zbl 1471.65156) Full Text: DOI
Shi, Dongyang; Liao, Xin; Wang, Lele Superconvergence analysis of conforming finite element method for nonlinear Schrödinger equation. (English) Zbl 1410.65378 Appl. Math. Comput. 289, 298-310 (2016). MSC: 65M60 35Q55 65M12 PDFBibTeX XMLCite \textit{D. Shi} et al., Appl. Math. Comput. 289, 298--310 (2016; Zbl 1410.65378) 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
Zhang, Yadong; Shi, Dongwei; Shi, Dongyang Superconvergence analysis of a new nonconforming mixed finite element approximation for second order hyperbolic equation. (Chinese. English summary) Zbl 1374.65151 Math. Pract. Theory 46, No. 15, 274-282 (2016). MSC: 65M12 65M60 35L20 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Math. Pract. Theory 46, No. 15, 274--282 (2016; Zbl 1374.65151)
Zhang, Houchao; Shi, Dongyang; Wang, Yu Superconvergence and extrapolation analysis of an expanded nonconforming mixed finite method for nonlinear fourth-order hyperbolic equation. (Chinese. English summary) Zbl 1374.65175 Math. Appl. 29, No. 4, 769-781 (2016). MSC: 65M60 35L75 65M12 65M20 PDFBibTeX XMLCite \textit{H. Zhang} et al., Math. Appl. 29, No. 4, 769--781 (2016; Zbl 1374.65175)
Zhang, Houchao; Shi, Dongyang Superconvergence analysis of a lower order mixed finite element method for nonlinear fourth-order hyperbolic equation. (Chinese. English summary) Zbl 1374.65174 Acta Math. Sci., Ser. A, Chin. Ed. 36, No. 4, 656-671 (2016). MSC: 65M60 35L75 65M20 65M12 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{D. Shi}, Acta Math. Sci., Ser. A, Chin. Ed. 36, No. 4, 656--671 (2016; Zbl 1374.65174)
Shi, Dongyang; Wang, Junjun Superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for Sobolev equations. (English) Zbl 1361.65065 Comput. Math. Appl. 72, No. 6, 1590-1602 (2016). MSC: 65M12 65M20 65M60 35K20 PDFBibTeX XMLCite \textit{D. Shi} and \textit{J. Wang}, Comput. Math. Appl. 72, No. 6, 1590--1602 (2016; Zbl 1361.65065) Full Text: DOI
Xu, Chao; Shi, Dongyang; Liao, Xin Low order nonconforming mixed finite element method for nonstationary incompressible Navier-Stokes equations. (English) Zbl 1348.76057 AMM, Appl. Math. Mech., Engl. Ed. 37, No. 8, 1095-1112 (2016). MSC: 76D05 76M10 65M12 65M60 35Q30 PDFBibTeX XMLCite \textit{C. Xu} et al., AMM, Appl. Math. Mech., Engl. Ed. 37, No. 8, 1095--1112 (2016; Zbl 1348.76057) Full Text: DOI
Yang, Xiaoxia; Shi, Dongyang; Zhang, Fang Superconvergence analysis of a low order nonconforming mixed finite element method for a class of fourth-order parabolic equations. (Chinese. English summary) Zbl 1363.65172 Math. Appl. 29, No. 2, 370-380 (2016). MSC: 65M60 65M12 65M20 35K25 PDFBibTeX XMLCite \textit{X. Yang} et al., Math. Appl. 29, No. 2, 370--380 (2016; Zbl 1363.65172)
Zhang, Houchao; Shi, Dongyang; Wang, Yu Super convergence analysis of a lower order mixed finite method for a type of nonlinear fourth-order hyperbolic equations. (Chinese. English summary) Zbl 1363.65148 Math. Appl. 29, No. 2, 314-324 (2016). MSC: 65M12 65M60 35L75 65M20 PDFBibTeX XMLCite \textit{H. Zhang} et al., Math. Appl. 29, No. 2, 314--324 (2016; Zbl 1363.65148)
Chen, Baofeng; Zhao, Mingxia; Shi, Dongyang Superconvergence analysis of the nonconforming \(EQ_1^{rot}\) element for nonlinear moisture migration equation. (Chinese. English summary) Zbl 1363.65158 J. Xinyang Norm. Univ., Nat. Sci. 29, No. 1, 1-4 (2016). MSC: 65M60 65M12 35Q35 PDFBibTeX XMLCite \textit{B. Chen} et al., J. Xinyang Norm. Univ., Nat. Sci. 29, No. 1, 1--4 (2016; Zbl 1363.65158) Full Text: DOI
Liu, Qian; Shi, Dongyang A nonconforming mixed finite element method for dual phase lagging heat conduction equations. (Chinese. English summary) Zbl 1363.65167 J. Henan Norm. Univ., Nat. Sci. 44, No. 2, 15-21 (2016). MSC: 65M60 65M12 65M20 65M15 35K05 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{D. Shi}, J. Henan Norm. Univ., Nat. Sci. 44, No. 2, 15--21 (2016; Zbl 1363.65167) Full Text: DOI
Shi, Dongyang; Zhang, Houchao; Wang, Yu Superconvergence analysis of an expanded mixed finite element method for nonlinear fourth-order hyperbolic equation. (Chinese. English summary) Zbl 1349.65484 Math. Numer. Sin. 38, No. 1, 65-82 (2016). MSC: 65M60 65M12 35L75 65M15 65M20 PDFBibTeX XMLCite \textit{D. Shi} et al., Math. Numer. Sin. 38, No. 1, 65--82 (2016; Zbl 1349.65484)
Zhao, Y.; Zhang, Y.; Shi, D.; Liu, Fawang; Turner, Ian Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. (English) Zbl 1382.65334 Appl. Math. Lett. 59, 38-47 (2016). MSC: 65M60 65M12 35R11 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Appl. Math. Lett. 59, 38--47 (2016; Zbl 1382.65334) Full Text: DOI
Shi, Dongyang; Yang, Huaijun A new approach of superconvergence analysis for nonlinear BBM equation on anisotropic meshes. (English) Zbl 1337.65122 Appl. Math. Lett. 58, 74-80 (2016). MSC: 65M12 35Q53 65M20 65M50 65M60 65M06 PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Yang}, Appl. Math. Lett. 58, 74--80 (2016; Zbl 1337.65122) 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)
Wang, Pingli; Shi, Dongyang A low-order \(H^1\)-Galerkin mixed finite elements method of the generalized nerve conductive equations. (Chinese. English summary) Zbl 1349.65492 Math. Pract. Theory 45, No. 10, 229-237 (2015). MSC: 65M60 65M12 35L20 92C20 35Q92 PDFBibTeX XMLCite \textit{P. Wang} and \textit{D. Shi}, Math. Pract. Theory 45, No. 10, 229--237 (2015; Zbl 1349.65492)