Yang, Huaijun; Jia, Xu Superconvergence analysis of the bilinear-constant scheme for two-dimensional incompressible convective Brinkman-Forchheimer equations. (English) Zbl 07798412 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23060, 20 p. (2024). MSC: 65N30 65M60 76M10 PDFBibTeX XMLCite \textit{H. Yang} and \textit{X. Jia}, Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23060, 20 p. (2024; Zbl 07798412) Full Text: DOI
Yang, Huaijun; Jia, Xu Superconvergence error analysis of Ciarlet-Raviart mixed finite element method for damped Boussinesq equation. (English) Zbl 07784359 Comput. Math. Appl. 154, 199-211 (2024). MSC: 65N30 65M60 65M12 65M06 35J40 PDFBibTeX XMLCite \textit{H. Yang} and \textit{X. Jia}, Comput. Math. Appl. 154, 199--211 (2024; Zbl 07784359) Full Text: DOI
Yang, Huaijun Unconditionally optimal error estimate of the Crank-Nicolson extrapolation Galerkin finite element method for Kuramoto-Tsuzuki equation. (English) Zbl 07735375 Comput. Appl. Math. 42, No. 6, Paper No. 259, 20 p. (2023). MSC: 65M15 65M60 65N15 65N30 PDFBibTeX XMLCite \textit{H. Yang}, Comput. Appl. Math. 42, No. 6, Paper No. 259, 20 p. (2023; Zbl 07735375) Full Text: DOI
Yang, Huaijun A new error analysis of backward Euler Galerkin finite element method for two-dimensional time-dependent Ginzburg-Landau equation. (English) Zbl 07727135 Appl. Math. Lett. 145, Article ID 108767, 8 p. (2023). MSC: 65Mxx 35Qxx 65Nxx PDFBibTeX XMLCite \textit{H. Yang}, Appl. Math. Lett. 145, Article ID 108767, 8 p. (2023; Zbl 07727135) Full Text: DOI
Yang, Huaijun; Shi, Dongyang Unconditionally superconvergent error estimates of a linearized Galerkin finite element method for the nonlinear thermistor problem. (English) Zbl 07709692 Adv. Comput. Math. 49, No. 3, Paper No. 33, 27 p. (2023). MSC: 65Mxx PDFBibTeX XMLCite \textit{H. Yang} and \textit{D. Shi}, Adv. Comput. Math. 49, No. 3, Paper No. 33, 27 p. (2023; Zbl 07709692) Full Text: DOI
Yang, Huaijun Convergence and superconvergence analysis of energy-preserving Crank-Nicolson Galerkin method for the Benjamin-Bona-Mahony equation. (English) Zbl 1524.65617 Int. J. Comput. Math. 100, No. 6, 1212-1227 (2023). MSC: 65M60 65N15 65N30 65M06 65N12 65D05 35Q53 PDFBibTeX XMLCite \textit{H. Yang}, Int. J. Comput. Math. 100, No. 6, 1212--1227 (2023; Zbl 1524.65617) Full Text: DOI
Yang, Huaijun; Shi, Dongyang A novel approach of unconditional optimal error estimate of linearized and conservative Galerkin FEM for Klein-Gordon-Schrödinger equations. (English) Zbl 07693651 Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107286, 18 p. (2023). MSC: 65-XX 93-XX 34-XX PDFBibTeX XMLCite \textit{H. Yang} and \textit{D. Shi}, Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107286, 18 p. (2023; Zbl 07693651) Full Text: DOI
Yang, Huaijun; Wang, Lele; Liao, Xin Superconvergence analysis of a linearized energy-conservative Galerkin method for the nonlinear Schrödinger equation with wave operator. (English) Zbl 07654111 Comput. Math. Appl. 133, 142-154 (2023). MSC: 35Q55 65M60 65M12 65M06 65M15 PDFBibTeX XMLCite \textit{H. Yang} et al., Comput. Math. Appl. 133, 142--154 (2023; Zbl 07654111) Full Text: DOI
Yang, Huaijun Unconditionally optimal error estimate of mass- and energy-stable Galerkin method for Schrödinger equation with cubic nonlinearity. (English) Zbl 1500.65074 Appl. Numer. Math. 183, 39-55 (2023). MSC: 65M60 65M06 65N30 65M15 35Q55 35Q41 PDFBibTeX XMLCite \textit{H. Yang}, Appl. Numer. Math. 183, 39--55 (2023; Zbl 1500.65074) Full Text: DOI
Wang, Lele; Liao, Xin; Yang, Huaijun Unconditional superconvergence analysis of an energy-stable finite element scheme for nonlinear Benjamin-Bona-Mahony-Burgers equation. (English) Zbl 1502.65148 Bound. Value Probl. 2022, Paper No. 72, 13 p. (2022). MSC: 65M60 65M06 65N30 65M12 65M15 35Q53 PDFBibTeX XMLCite \textit{L. Wang} et al., Bound. Value Probl. 2022, Paper No. 72, 13 p. (2022; Zbl 1502.65148) 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
Yang, Huaijun Superconvergence analysis of Galerkin method for semilinear parabolic integro-differential equation. (English) Zbl 1524.65986 Appl. Math. Lett. 128, Article ID 107872, 8 p. (2022). MSC: 65R20 45K05 65M60 65M12 PDFBibTeX XMLCite \textit{H. Yang}, Appl. Math. Lett. 128, Article ID 107872, 8 p. (2022; Zbl 1524.65986) 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
Yang, Huaijun; Shi, Dongyang; Zhang, Li-Tao Unconditionally optimal error estimates of BDF2 Galerkin method for semilinear parabolic equation. (English) Zbl 07776083 Numer. Methods Partial Differ. Equations 37, No. 3, 2511-2526 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. Yang} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2511--2526 (2021; Zbl 07776083) 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
Yang, Huaijun Superconvergence error estimate of a linearized energy-stable Galerkin scheme for semilinear wave equation. (English) Zbl 1468.65154 Appl. Math. Lett. 116, Article ID 107006, 8 p. (2021). MSC: 65M60 65M12 65M15 35L05 PDFBibTeX XMLCite \textit{H. Yang}, Appl. Math. Lett. 116, Article ID 107006, 8 p. (2021; Zbl 1468.65154) 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
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
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
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; 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
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; 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; Yang, Huaijun Unconditional optimal error estimates of a two-grid method for semilinear parabolic equation. (English) Zbl 1427.65184 Appl. Math. Comput. 310, 40-47 (2017). MSC: 65M06 35K20 35K91 65M15 PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Yang}, Appl. Math. Comput. 310, 40--47 (2017; Zbl 1427.65184) 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