Wen, Jing; Chen, Zhangxing; He, Yinnian The analogue of grad-div stabilization in DG method for a coupled Stokes and Darcy problem. (English) Zbl 07750310 Comput. Math. Appl. 149, 99-114 (2023). MSC: 76M10 65N30 76S05 76D07 65N15 PDFBibTeX XMLCite \textit{J. Wen} et al., Comput. Math. Appl. 149, 99--114 (2023; Zbl 07750310) Full Text: DOI
Liu, Mingru; Huang, Pengzhan; He, Yinnian A linearized Crank-Nicolson/leapfrog scheme for the Landau-Lifshitz equation. (English) Zbl 07731148 Rocky Mt. J. Math. 53, No. 3, 821-837 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 82D40 78A25 35Q60 PDFBibTeX XMLCite \textit{M. Liu} et al., Rocky Mt. J. Math. 53, No. 3, 821--837 (2023; Zbl 07731148) Full Text: DOI Link
Liu, Haochen; Huang, Pengzhan; He, Yinnian Well-posedness and finite element approximation for the steady-state closed-loop geothermal system. (English) Zbl 1516.65136 Discrete Contin. Dyn. Syst., Ser. B 28, No. 11, 5514-5541 (2023). MSC: 65N30 76M10 76N10 76S05 76R50 35A01 35A02 86A05 35Q79 35Q35 PDFBibTeX XMLCite \textit{H. Liu} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 11, 5514--5541 (2023; Zbl 1516.65136) Full Text: DOI
Liu, Shuaijun; Huang, Pengzhan; He, Yinnian An optimal error estimate of the BDF-Galerkin FEM for the incompressible MHD system. (English) Zbl 1493.65156 J. Math. Anal. Appl. 515, No. 2, Article ID 126460, 30 p. (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76W05 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{S. Liu} et al., J. Math. Anal. Appl. 515, No. 2, Article ID 126460, 30 p. (2022; Zbl 1493.65156) Full Text: DOI
Lu, Xiaoli; Huang, Pengzhan; Feng, Xinlong; He, Yinnian A stabilized difference finite element method for the 3D steady Stokes equations. (English) Zbl 1510.76091 Appl. Math. Comput. 430, Article ID 127270, 18 p. (2022). MSC: 76M10 76D07 65N06 65N30 PDFBibTeX XMLCite \textit{X. Lu} et al., Appl. Math. Comput. 430, Article ID 127270, 18 p. (2022; Zbl 1510.76091) Full Text: DOI
Huang, Pengzhan; He, Yinnian; Li, Ting A finite element algorithm for nematic liquid crystal flow based on the Gauge-Uzawa method. (English) Zbl 1499.65494 J. Comput. Math. 40, No. 1, 26-43 (2022). MSC: 65M60 65M15 76A15 76M10 PDFBibTeX XMLCite \textit{P. Huang} et al., J. Comput. Math. 40, No. 1, 26--43 (2022; Zbl 1499.65494) Full Text: DOI
Cao, Luling; He, Yinnian; Li, Jian A parallel Robin-Robin domain decomposition method based on modified characteristic FEMs for the time-dependent dual-porosity-Navier-Stokes model with the Beavers-Joseph interface condition. (English) Zbl 07435360 J. Sci. Comput. 90, No. 1, Paper No. 16, 34 p. (2022). MSC: 65Mxx 65Nxx 76Dxx PDFBibTeX XMLCite \textit{L. Cao} et al., J. Sci. Comput. 90, No. 1, Paper No. 16, 34 p. (2022; Zbl 07435360) Full Text: DOI
Li, Ting; Huang, Pengzhan; He, Yinnian A fully discrete, decoupled scheme with different time steps for approximating nematic liquid crystal flow. (English) Zbl 1499.65504 Int. J. Numer. Anal. Model. 18, No. 6, 811-833 (2021). MSC: 65M60 76A15 35Q35 65M15 PDFBibTeX XMLCite \textit{T. Li} et al., Int. J. Numer. Anal. Model. 18, No. 6, 811--833 (2021; Zbl 1499.65504) Full Text: Link
Wang, Gang; Mu, Lin; Wang, Ying; He, Yinnian A pressure-robust virtual element method for the Stokes problem. (English) Zbl 1506.76102 Comput. Methods Appl. Mech. Eng. 382, Article ID 113879, 19 p. (2021). MSC: 76M10 65N30 76D07 PDFBibTeX XMLCite \textit{G. Wang} et al., Comput. Methods Appl. Mech. Eng. 382, Article ID 113879, 19 p. (2021; Zbl 1506.76102) Full Text: DOI
Liu, Yingzhi; He, Yinnian; Li, Xuejian; He, Xiaoming A novel convergence analysis of Robin-Robin domain decomposition method for Stokes-Darcy system with Beavers-Joseph interface condition. (English) Zbl 1476.76050 Appl. Math. Lett. 119, Article ID 107181, 9 p. (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 76D07 76S05 65N12 PDFBibTeX XMLCite \textit{Y. Liu} et al., Appl. Math. Lett. 119, Article ID 107181, 9 p. (2021; Zbl 1476.76050) Full Text: DOI
Yang, Di; He, Yinnian A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes. (English) Zbl 1524.65871 Comput. Math. Appl. 97, 175-206 (2021). MSC: 65N30 65N12 65N15 35J25 65K10 49M41 PDFBibTeX XMLCite \textit{D. Yang} and \textit{Y. He}, Comput. Math. Appl. 97, 175--206 (2021; Zbl 1524.65871) Full Text: DOI arXiv
Hu, Qingjie; He, Yinnian; Wang, Kun Weak Galerkin method for the Helmholtz equation with DtN boundary condition. (English) Zbl 1471.65197 Int. J. Numer. Anal. Model. 17, No. 5, 643-661 (2020). MSC: 65N30 35B45 65N15 PDFBibTeX XMLCite \textit{Q. Hu} et al., Int. J. Numer. Anal. Model. 17, No. 5, 643--661 (2020; Zbl 1471.65197) Full Text: Link
Wen, Jing; Su, Jian; He, Yinnian; Chen, Hongbin A discontinuous Galerkin method for the coupled Stokes and Darcy problem. (English) Zbl 1451.65205 J. Sci. Comput. 85, No. 2, Paper No. 26, 26 p. (2020). MSC: 65N30 76S05 76D07 76M10 PDFBibTeX XMLCite \textit{J. Wen} et al., J. Sci. Comput. 85, No. 2, Paper No. 26, 26 p. (2020; Zbl 1451.65205) Full Text: DOI
Wen, Jing; He, Yinnian A strongly conservative finite element method for the coupled Stokes-Biot model. (English) Zbl 1447.65094 Comput. Math. Appl. 80, No. 5, 1421-1442 (2020). MSC: 65M60 65M06 65M12 65M15 76D07 76S05 PDFBibTeX XMLCite \textit{J. Wen} and \textit{Y. He}, Comput. Math. Appl. 80, No. 5, 1421--1442 (2020; Zbl 1447.65094) Full Text: DOI
Qian, Lingzhi; Feng, Xinlong; He, Yinnian Crank-Nicolson leap-frog time stepping decoupled scheme for the fluid-fluid interaction problems. (English) Zbl 1447.65088 J. Sci. Comput. 84, No. 1, Paper No. 4, 20 p. (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65N30 65M15 65M06 65N12 35Q35 86A05 PDFBibTeX XMLCite \textit{L. Qian} et al., J. Sci. Comput. 84, No. 1, Paper No. 4, 20 p. (2020; Zbl 1447.65088) Full Text: DOI
Liu, Yingzhi; He, Yinnian Two-level Schwarz methods for a discontinuous Galerkin approximation of elliptic problems with jump coefficients. (English) Zbl 1473.65341 J. Sci. Comput. 84, No. 1, Paper No. 14, 33 p. (2020). Reviewer: Martin Kronbichler (München) MSC: 65N55 65N30 65F08 65F10 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{Y. He}, J. Sci. Comput. 84, No. 1, Paper No. 14, 33 p. (2020; Zbl 1473.65341) Full Text: DOI
Ge, Zhihao; He, Yanan; He, Yinnian A lowest equal-order stabilized mixed finite element method based on multiphysics approach for a poroelasticity model. (English) Zbl 1433.76084 Appl. Numer. Math. 153, 1-14 (2020). MSC: 76M10 76S05 74F10 65N30 PDFBibTeX XMLCite \textit{Z. Ge} et al., Appl. Numer. Math. 153, 1--14 (2020; Zbl 1433.76084) Full Text: DOI
Wang, Gang; Wang, Feng; Chen, Long; He, Yinnian A divergence free weak virtual element method for the Stokes-Darcy problem on general meshes. (English) Zbl 1440.76088 Comput. Methods Appl. Mech. Eng. 344, 998-1020 (2019). MSC: 76M10 65N30 76S05 PDFBibTeX XMLCite \textit{G. Wang} et al., Comput. Methods Appl. Mech. Eng. 344, 998--1020 (2019; Zbl 1440.76088) Full Text: DOI
Zhang, Yarong; He, Yinnian; Chen, Hongbin Uniform error estimates of finite element method for a 3D semilinear elliptic problem with small viscosity. (English) Zbl 1404.65286 J. Math. Anal. Appl. 463, No. 2, 869-879 (2018). MSC: 65N30 35J61 65N15 PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Math. Anal. Appl. 463, No. 2, 869--879 (2018; Zbl 1404.65286) Full Text: DOI
Dong, Xiaojing; He, Yinnian The Oseen type finite element iterative method for the stationary incompressible magnetohydrodynamics. (English) Zbl 1488.35418 Adv. Appl. Math. Mech. 9, No. 4, 775-794 (2017). MSC: 35Q30 65M60 65N30 76D05 PDFBibTeX XMLCite \textit{X. Dong} and \textit{Y. He}, Adv. Appl. Math. Mech. 9, No. 4, 775--794 (2017; Zbl 1488.35418) Full Text: DOI
Dong, XiaoJing; He, YinNian Convergence of some finite element iterative methods related to different Reynolds numbers for the 2D/3D stationary incompressible magnetohydrodynamics. (English) Zbl 1338.35328 Sci. China, Math. 59, No. 3, 589-608 (2016). MSC: 35Q30 65N30 76M10 PDFBibTeX XMLCite \textit{X. Dong} and \textit{Y. He}, Sci. China, Math. 59, No. 3, 589--608 (2016; Zbl 1338.35328) Full Text: DOI
He, Yinnian; Huang, Weizhang A posteriori error analysis for finite element solution of one-dimensional elliptic differential equations using equidistributing meshes. (English) Zbl 1333.65090 J. Comput. Appl. Math. 299, 101-126 (2016). MSC: 65L70 65L60 65L50 34B05 65L20 PDFBibTeX XMLCite \textit{Y. He} and \textit{W. Huang}, J. Comput. Appl. Math. 299, 101--126 (2016; Zbl 1333.65090) Full Text: DOI arXiv
Zhang, Guo-Dong; He, Yinnian Unconditional convergence of the Euler semi-implicit scheme for the 3D incompressible MHD equations. (English) Zbl 1356.76451 Int. J. Numer. Methods Heat Fluid Flow 25, No. 8, 1912-1923 (2015). MSC: 76W05 76M20 65M06 65M12 PDFBibTeX XMLCite \textit{G.-D. Zhang} and \textit{Y. He}, Int. J. Numer. Methods Heat Fluid Flow 25, No. 8, 1912--1923 (2015; Zbl 1356.76451) Full Text: DOI
Dong, Xiaojing; He, Yinnian Two-level Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics. (English) Zbl 06456931 J. Sci. Comput. 63, No. 2, 426-451 (2015). MSC: 65-XX PDFBibTeX XMLCite \textit{X. Dong} and \textit{Y. He}, J. Sci. Comput. 63, No. 2, 426--451 (2015; Zbl 06456931) Full Text: DOI
Feng, Xinlong; He, Yinnian \(H^1\)-super-convergence of center finite difference method based on \(P_1\)-element for the elliptic equation. (English) Zbl 1429.65268 Appl. Math. Modelling 38, No. 23, 5439-5455 (2014). MSC: 65N06 35J25 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{X. Feng} and \textit{Y. He}, Appl. Math. Modelling 38, No. 23, 5439--5455 (2014; Zbl 1429.65268) Full Text: DOI
Liu, Zhiyong; He, Yinnian An iterative meshfree method for the elliptic Monge-Ampère equation in 2D. (English) Zbl 1309.65142 Numer. Methods Partial Differ. Equations 30, No. 5, 1507-1517 (2014). MSC: 65N35 35J96 65N12 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{Y. He}, Numer. Methods Partial Differ. Equations 30, No. 5, 1507--1517 (2014; Zbl 1309.65142) Full Text: DOI
Liu, Zhiyong; He, Yinnian Cascadic meshfree method for the elliptic Monge-Ampère equation. (English) Zbl 1287.65116 Eng. Anal. Bound. Elem. 37, No. 7-8, 990-996 (2013). MSC: 65N35 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{Y. He}, Eng. Anal. Bound. Elem. 37, No. 7--8, 990--996 (2013; Zbl 1287.65116) Full Text: DOI
Zhang, Tong; He, Yinnian Fully discrete finite element method based on pressure stabilization for the transient Stokes equations. (English) Zbl 1305.76059 Math. Comput. Simul. 82, No. 8, 1496-1515 (2012). MSC: 76M10 76D07 65M60 65M15 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{Y. He}, Math. Comput. Simul. 82, No. 8, 1496--1515 (2012; Zbl 1305.76059) Full Text: DOI
Qian, Lingzhi; Feng, Xinlong; He, Yinnian The characteristic finite difference streamline diffusion method for convection-dominated diffusion problems. (English) Zbl 1236.76041 Appl. Math. Modelling 36, No. 2, 561-572 (2012). MSC: 76M20 65M25 65M06 PDFBibTeX XMLCite \textit{L. Qian} et al., Appl. Math. Modelling 36, No. 2, 561--572 (2012; Zbl 1236.76041) Full Text: DOI