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
Kumar, Naresh; Deka, Bhupen A stabilizer free weak Galerkin finite element method for second-order Sobolev equation. (English) Zbl 07777000 Numer. Methods Partial Differ. Equations 39, No. 3, 2115-2140 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{N. Kumar} and \textit{B. Deka}, Numer. Methods Partial Differ. Equations 39, No. 3, 2115--2140 (2023; Zbl 07777000) Full Text: DOI
Shi, Dongyang; Ma, He Unconditional superconvergence analysis of a modified nonconforming energy stable BDF2 FEM for Sobolev equations with Burgers’ type nonlinearity. (English) Zbl 07758892 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107440, 12 p. (2023). MSC: 65-XX PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Ma}, Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107440, 12 p. (2023; Zbl 07758892) Full Text: DOI
Fan, Huijun; Zhao, Yanmin; Wang, Fenling; Shi, Yanhua; Liu, Fawang Anisotropic \(EQ_1^{rot}\) finite element approximation for a multi-term time-fractional mixed sub-diffusion and diffusion-wave equation. (English) Zbl 1515.65241 J. Comput. Math. 41, No. 3, 459-482 (2023). MSC: 65M60 35R11 65M15 65R20 PDFBibTeX XMLCite \textit{H. Fan} et al., J. Comput. Math. 41, No. 3, 459--482 (2023; Zbl 1515.65241) Full Text: DOI
Cao, Fangfang; Zhao, Yanmin; Wang, Fenling; Shi, Yanhua; Yao, Changhui Nonconforming mixed FEM analysis for multi-term time-fractional mixed sub-diffusion and diffusion-wave equation with time-space coupled derivative. (English) Zbl 1513.65352 Adv. Appl. Math. Mech. 15, No. 2, 322-358 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{F. Cao} et al., Adv. Appl. Math. Mech. 15, No. 2, 322--358 (2023; Zbl 1513.65352) Full Text: DOI
Xie, Chun-Mei; Feng, Min-Fu; Wei, Hua-Yi An \(H^1\) weak Galerkin mixed finite element method for Sobolev equation. (English) Zbl 1502.65150 J. Comput. Appl. Math. 423, Article ID 114979, 17 p. (2023). MSC: 65M60 65M15 PDFBibTeX XMLCite \textit{C.-M. Xie} et al., J. Comput. Appl. Math. 423, Article ID 114979, 17 p. (2023; Zbl 1502.65150) Full Text: DOI
Zhang, Jiyuan; Qin, Yifan; Zhang, Qifeng Maximum error estimates of two linearized compact difference schemes for two-dimensional nonlinear Sobolev equations. (English) Zbl 1509.65079 Appl. Numer. Math. 184, 253-272 (2023). Reviewer: Ljiljana Teofanov (Novi Sad) MSC: 65M06 65N06 65M15 76A05 76M20 35Q35 PDFBibTeX XMLCite \textit{J. Zhang} et al., Appl. Numer. Math. 184, 253--272 (2023; Zbl 1509.65079) Full Text: DOI
Zhang, Houchao; Zhu, Weijun Superconvergence analysis of a nonconforming MFEM for nonlinear Schrödinger equation. (English) Zbl 1497.65187 Appl. Anal. 101, No. 14, 4942-4964 (2022). MSC: 65M60 65M06 65N30 65N15 65N12 35A01 35A02 35Q55 35Q41 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{W. Zhu}, Appl. Anal. 101, No. 14, 4942--4964 (2022; Zbl 1497.65187) Full Text: DOI
Zhang, Chengjian; Tang, Changyang One-parameter orthogonal spline collocation methods for nonlinear two-dimensional Sobolev equations with time-variable delay. (English) Zbl 07474634 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106233, 17 p. (2022). MSC: 65Mxx 65Lxx 35Kxx PDFBibTeX XMLCite \textit{C. Zhang} and \textit{C. Tang}, Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106233, 17 p. (2022; Zbl 07474634) Full Text: DOI
Yang, Huaijun A novel approach of superconvergence analysis of the bilinear-constant scheme for time-dependent Stokes equations. (English) Zbl 1486.76062 Appl. Numer. Math. 173, 180-192 (2022). Reviewer: Daniel Arndt (Oak Ridge) MSC: 76M10 76M20 76D07 65M12 PDFBibTeX XMLCite \textit{H. Yang}, Appl. Numer. Math. 173, 180--192 (2022; Zbl 1486.76062) Full Text: DOI
Zhao, Zhihui; Li, Hong; Wang, Jing The study of a continuous Galerkin method for Sobolev equation with space-time variable coefficients. (English) Zbl 1508.65137 Appl. Math. Comput. 401, Article ID 126021, 13 p. (2021). MSC: 65M60 35K57 PDFBibTeX XMLCite \textit{Z. Zhao} et al., Appl. Math. Comput. 401, Article ID 126021, 13 p. (2021; Zbl 1508.65137) Full Text: DOI
Yang, Huaijun Superconvergence error estimate of Galerkin method for Sobolev equation with Burgers’ type nonlinearity. (English) Zbl 1478.65092 Appl. Numer. Math. 168, 13-22 (2021). MSC: 65M60 65M06 65N30 65M12 65M15 76S05 35Q35 PDFBibTeX XMLCite \textit{H. Yang}, Appl. Numer. Math. 168, 13--22 (2021; Zbl 1478.65092) Full Text: DOI
Zhang, Chengjian; Tan, Zengqiang Linearized compact difference methods combined with Richardson extrapolation for nonlinear delay Sobolev equations. (English) Zbl 1453.65239 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105461, 18 p. (2020). MSC: 65M06 65M15 65B05 35Q35 35R07 65M12 PDFBibTeX XMLCite \textit{C. Zhang} and \textit{Z. Tan}, Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105461, 18 p. (2020; Zbl 1453.65239) Full Text: DOI
Shi, Xiangyu; Lu, Linzhang A new two-grid nonconforming mixed finite element method for nonlinear Benjamin-Bona-Mahoney equation. (English) Zbl 1433.65223 Appl. Math. Comput. 371, Article ID 124943, 13 p. (2020). MSC: 65M60 35Q53 PDFBibTeX XMLCite \textit{X. Shi} and \textit{L. Lu}, Appl. Math. Comput. 371, Article ID 124943, 13 p. (2020; Zbl 1433.65223) Full Text: DOI
Li, Xiaoli; Rui, Hongxing A block-centered finite difference method for the nonlinear Sobolev equation on nonuniform rectangular grids. (English) Zbl 1433.65160 Appl. Math. Comput. 363, Article ID 124607, 13 p. (2019). MSC: 65M06 65M12 65M15 35K59 35K61 PDFBibTeX XMLCite \textit{X. Li} and \textit{H. Rui}, Appl. Math. Comput. 363, Article ID 124607, 13 p. (2019; Zbl 1433.65160) Full Text: DOI
Li, Na; Lin, Ping; Gao, Fuzheng An expanded mixed finite element method for two-dimensional Sobolev equations. (English) Zbl 1412.65221 J. Comput. Appl. Math. 348, 342-355 (2019). MSC: 65N30 65M06 65M15 PDFBibTeX XMLCite \textit{N. Li} et al., J. Comput. Appl. Math. 348, 342--355 (2019; Zbl 1412.65221) Full Text: DOI Link
Zhang, Houchao; Wang, An A new approach of superconvergence analysis of a low order nonconforming MFEM for reaction-diffusion equation. (English) Zbl 1499.65546 Bound. Value Probl. 2018, Paper No. 169, 20 p. (2018). MSC: 65M60 35K57 65M15 65M12 65N30 65M06 35K91 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{A. Wang}, Bound. Value Probl. 2018, Paper No. 169, 20 p. (2018; Zbl 1499.65546) Full Text: DOI
Liu, Jincun; Li, Hong; Liu, Yang Crank-Nicolson finite element scheme and modified reduced-order scheme for fractional Sobolev equation. (English) Zbl 1412.65149 Numer. Funct. Anal. Optim. 39, No. 15, 1635-1655 (2018). MSC: 65M60 65M06 65M12 65M15 35K99 35R11 PDFBibTeX XMLCite \textit{J. Liu} et al., Numer. Funct. Anal. Optim. 39, No. 15, 1635--1655 (2018; Zbl 1412.65149) 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; 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
Dongyang, Shi; Fengna, Yan; Junjun, Wang Unconditional superconvergence analysis of a new mixed finite element method for nonlinear Sobolev equation. (English) Zbl 1410.65368 Appl. Math. Comput. 274, 182-194 (2016). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{S. Dongyang} et al., Appl. Math. Comput. 274, 182--194 (2016; Zbl 1410.65368) 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
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
Liu, Yang; Fang, Zhichao; Li, Hong; He, Siriguleng; Gao, Wei A new expanded mixed method for parabolic integro-differential equations. (English) Zbl 1448.65280 Appl. Math. Comput. 259, 600-613 (2015). MSC: 65R20 45K05 65M60 35K20 65M15 PDFBibTeX XMLCite \textit{Y. Liu} et al., Appl. Math. Comput. 259, 600--613 (2015; Zbl 1448.65280) Full Text: DOI
Shi, Dongyang; Liao, Xin; Wang, Lele The lowest order characteristic mixed finite element scheme for convection-dominated diffusion problem. (English) Zbl 1362.65107 Comput. Math. Appl. 68, No. 7, 759-769 (2014). MSC: 65M60 76M10 35J25 65M15 35Q35 PDFBibTeX XMLCite \textit{D. Shi} et al., Comput. Math. Appl. 68, No. 7, 759--769 (2014; Zbl 1362.65107) Full Text: DOI
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
Liu, Yang; Fang, Zhichao; Li, Hong; He, Siriguleng; Gao, Wei A coupling method based on new MFE and FE for fourth-order parabolic equation. (English) Zbl 1296.65135 J. Appl. Math. Comput. 43, No. 1-2, 249-269 (2013). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M60 65M12 65M15 35K35 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Appl. Math. Comput. 43, No. 1--2, 249--269 (2013; Zbl 1296.65135) Full Text: DOI
Zhao, Qing-li; Li, Zong-cheng; Ding, You-zheng Expanded mixed finite element method for the two-dimensional Sobolev equation. (English) Zbl 1271.65130 J. Appl. Math. 2013, Article ID 934973, 9 p. (2013). MSC: 65M60 35L99 PDFBibTeX XMLCite \textit{Q.-l. Zhao} et al., J. Appl. Math. 2013, Article ID 934973, 9 p. (2013; Zbl 1271.65130) Full Text: DOI
Fang, Zhichao; Li, Hong An expanded mixed covolume method for Sobolev equation with convection term on triangular grids. (English) Zbl 1280.65093 Numer. Methods Partial Differ. Equations 29, No. 4, 1257-1277 (2013). Reviewer: Charis Harley (Johannesburg) MSC: 65M08 65M60 35K20 65M15 PDFBibTeX XMLCite \textit{Z. Fang} and \textit{H. Li}, Numer. Methods Partial Differ. Equations 29, No. 4, 1257--1277 (2013; Zbl 1280.65093) Full Text: DOI
Shi, Dongyang; Tang, Qili; Zhang, Yadong A new characteristic nonconforming mixed finite element scheme for convection-dominated diffusion problem. (English) Zbl 1266.65173 J. Appl. Math. 2013, Article ID 951692, 10 p. (2013). MSC: 65M60 65K10 PDFBibTeX XMLCite \textit{D. Shi} et al., J. Appl. Math. 2013, Article ID 951692, 10 p. (2013; Zbl 1266.65173) Full Text: DOI
Liu, Yang; Li, Hong; Gao, Wei; He, Siriguleng; Fang, Zhichao A novel characteristic expanded mixed method for reaction-convection-diffusion problems. (English) Zbl 1266.65197 J. Appl. Math. 2013, Article ID 683205, 11 p. (2013). MSC: 65N30 35K57 76R10 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Appl. Math. 2013, Article ID 683205, 11 p. (2013; Zbl 1266.65197) Full Text: DOI
Liu, Yang; Li, Hong; Fang, Zhichao; He, Siriguleng; Wang, Jinfeng A coupling method of new EMFE and FE for fourth-order partial differential equation of parabolic type. (English) Zbl 1270.35022 Adv. Math. Phys. 2013, Article ID 787891, 14 p. (2013). MSC: 35A35 65M60 65M15 35K25 35K40 PDFBibTeX XMLCite \textit{Y. Liu} et al., Adv. Math. Phys. 2013, Article ID 787891, 14 p. (2013; Zbl 1270.35022) Full Text: DOI
Ohm, Mi Ray; Lee, Hyun Young; Shin, Jun Yong Error analysis of a mixed finite element approximation of the semilinear Sobolev equations. (English) Zbl 1295.65092 J. Appl. Math. Comput. 40, No. 1-2, 95-110 (2012). MSC: 65M15 35K58 65M60 65M12 65M20 PDFBibTeX XMLCite \textit{M. R. Ohm} et al., J. Appl. Math. Comput. 40, No. 1--2, 95--110 (2012; Zbl 1295.65092) Full Text: DOI