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Author ID: si.zhiyong Recent zbMATH articles by "Si, Zhiyong"
Published as: Si, Zhiyong; Si, Z.
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Citations contained in zbMATH Open

46 Publications have been cited 563 times in 327 Documents Cited by Year
Unconditional stability and error estimates of modified characteristics FEMs for the Navier-Stokes equations. Zbl 1346.76073
Si, Zhiyong; Wang, Jilu; Sun, Weiwei
69
2016
A new error analysis of characteristics-mixed FEMs for miscible displacement in porous media. Zbl 1433.65315
Wang, Jilu; Si, Zhiyong; Sun, Weiwei
63
2014
Fully discrete local discontinuous Galerkin method for solving the fractional telegraph equation. Zbl 1311.35331
Wei, Leilei; Dai, Huiya; Zhang, Dingling; Si, Zhiyong
30
2014
Modified characteristics gauge-Uzawa finite element method for time dependent conduction-convection problems. Zbl 1335.65082
Si, Zhiyong; Song, Xiaogang; Huang, Pengzhan
27
2014
Decoupled two-grid finite element method for the time-dependent natural convection problem. I: Spatial discretization. Zbl 1336.65172
Zhang, Tong; Yuan, Jinyun; Si, Zhiyong
21
2015
Second order modified method of characteristics mixed defect-correction finite element method for time dependent Navier-Stokes problems. Zbl 1432.76084
Si, Zhiyong
21
2012
A defect-correction method for unsteady conduction-convection problems. II: Time discretization. Zbl 1427.76146
Si, Zhiyong; He, Yinnian; Zhang, Tong
19
2012
Decoupled modified characteristics finite element method for the time-dependent Navier-Stokes/Darcy problem. Zbl 1426.76309
Si, Zhiyong; Wang, Yunxia; Li, Shishun
19
2014
A defect-correction method for unsteady conduction-convection problems. I: Spatial discretization. Zbl 1227.76040
Si, Zhiyong; He, Yinnian; Wang, Kun
18
2011
Several iterative schemes for the stationary natural convection equations at different Rayleigh numbers. Zbl 1325.65154
Huang, Pengzhan; Li, Wenqiang; Si, Zhiyong
17
2015
A semi-discrete defect correction finite element method for unsteady incompressible magnetohydrodynamics equations. Zbl 1368.76016
Si, Zhiyong; Liu, Cui; Wang, Yunxia
16
2017
Defect correction finite element method for the stationary incompressible magnetohydrodynamics equation. Zbl 1410.76198
Si, Zhiyong; Jing, Shujie; Wang, Yunxia
15
2016
A rotational pressure-correction projection methods for unsteady incompressible magnetohydrodynamics equations. Zbl 1465.76057
Shen, Xiaojuan; Wang, Yunxia; Si, Zhiyong
15
2020
The semi-discrete streamline diffusion finite element method for time-dependent convection-diffusion problems. Zbl 1153.65098
Si, Zhiyong; Feng, Xinlong; Abduwali, Abdurishit
13
2008
A defect-correction mixed finite element method for stationary conduction-convection problems. Zbl 1204.76021
Si, Zhiyong; He, Yinnian
13
2011
A coupled Newton iterative mixed finite element method for stationary conduction-convection problems. Zbl 1206.65249
Si, Zhiyong; He, Yinnian
13
2010
A stabilised characteristic finite element method for transient Navier-Stokes equations. Zbl 1271.76177
Zhang, Tong; Si, Zhiyong; He, Yinnian
13
2010
A gauge-Uzawa finite element method for the time-dependent viscoelastic Oldroyd flows. Zbl 1311.76072
Si, Zhiyong; Li, Wenqiang; Wang, Yunxia
11
2015
Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent incompressible MHD equations. Zbl 1442.65284
Yang, Yang; Si, Zhiyong
11
2019
A Newton iterative mixed finite element method for stationary conduction-convection problems. Zbl 1267.76066
Si, Zhiyong; Zhang, Tong; Wang, Kun
11
2010
A rotational velocity-correction projection method for unsteady incompressible magnetohydrodynamics equations. Zbl 1447.65074
Guan, Jixiang; Jing, Shujie; Si, Zhiyong
10
2020
Unconditional optimal error estimate of the projection/Lagrange-Galerkin finite element method for the Boussinesq equations. Zbl 1440.65148
Si, Zhiyong; Lei, Yanfang; Tong, Zhang
10
2020
A stabilized Oseen iterative finite element method for stationary conduction-convection equations. Zbl 1427.76129
Huang, Pengzhan; Zhang, Tong; Si, Zhiyong
9
2012
Partitioned penalty methods for the transport equation in the evolutionary Stokes-Darcy-transport problem. Zbl 1419.76437
Ervin, V.; Kubacki, M.; Layton, W.; Moraiti, M.; Si, Z.; Trenchea, C.
9
2019
Stabilized finite element method for the viscoelastic Oldroyd fluid flows. Zbl 1336.76022
Wang, Kun; Si, Zhiyong; Yang, Yanfang
8
2012
Unconditional stability and error estimates of the modified characteristics FEM for the time-dependent viscoelastic Oldroyd flows. Zbl 1488.76089
Yang, Yang; Lei, Yanfang; Si, Zhiyong
8
2021
Modified characteristics mixed defect-correction finite element method for the time-dependent Navier-Stokes problems. Zbl 1446.76096
Si, Zhiyong; He, Yinnian; Wang, Yunxia
7
2015
A second order in time incremental pressure correction finite element method for the Navier-Stokes/Darcy problem. Zbl 1405.76011
Wang, Yunxia; Li, Shishun; Si, Zhiyong
7
2018
A modified characteristic projection finite element method for the Kelvin-Voigt viscoelastic fluid equations. Zbl 1524.76227
Si, Zhiyong; Wang, Qing; Wang, Yunxia
7
2022
Error estimate of a fully discrete defect correction finite element method for unsteady incompressible magnetohydrodynamics equations. Zbl 1397.76029
Lei, Yanfang; Yang, Yang; Si, Zhiyong
7
2018
A consistent projection finite element method for the incompressible MHD equations. Zbl 1482.76081
Yang, Yang; Si, Zhiyong
7
2021
An incremental pressure correction finite element method for the time-dependent Oldroyd flows. Zbl 1431.65174
Liu, Cui; Si, Zhiyong
6
2019
A projection method for the non-stationary incompressible MHD coupled with the heat equations. Zbl 1510.76092
Si, Zhiyong; Wang, Mingyi; Wang, Yunxia
6
2022
Modified characteristics projection finite element method for time-dependent conduction-convection problems. Zbl 1338.76067
Si, Zhiyong; Wang, Yunxia
5
2015
A modified characteristics projection finite element method for unsteady incompressible magnetohydrodynamics equations. Zbl 1484.76041
Jing, Shujie; Guan, Jixiang; Si, Zhiyong
3
2020
Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent thermally coupled incompressible MHD equations. Zbl 1521.76367
Si, Zhiyong; Lu, Jingyun; Wang, Yunxia
3
2022
Modified method of characteristics variational multiscale finite element method for time dependent Navier-Stokes problems. Zbl 1488.76026
Si, Zhiyong; Wang, Yunxia; Feng, Xinlong
3
2015
On limiting behavior of contaminant transport models in coupled surface and groundwater flows. Zbl 1369.76057
Ervin, Vincent J.; Kubacki, Michaela; Layton, William; Moraiti, Marina; Si, Zhiyong; Trenchea, Catalin
2
2015
A consistent projection finite element method for the non-stationary incompressible thermally coupled MHD equations. Zbl 1527.76035
Si, Zhiyong; Hou, Akang; Wang, Yunxia
2
2023
A modified characteristics projection finite element method for the non-stationary incompressible thermally coupled MHD equations. Zbl 1538.76056
Si, Zhiyong; Guo, Xiaonan; Wang, Yunxia
2
2023
A second order modified characteristics variational multiscale finite element method for time-dependent Navier-Stokes problems. Zbl 1289.76054
Si, Zhiyong; Su, Jian; He, Yinnian
2
2013
A convex splitting method for the time-dependent Ginzburg-Landau equation. Zbl 07853035
Wang, Yunxia; Si, Zhiyong
1
2024
Unconditional stability and error estimates of the modified characteristics FEMs for the micropolar Navier-Stokes equations. Zbl 07853267
Si, Zhiyong; Ji, Yao; Wang, Yunxia
1
2024
A rotational velocity-correction projection method for the Kelvin-Voigt viscoelastic fluid equations. Zbl 1543.76076
Si, Zhiyong; Wang, Qing; Wang, Yunxia
1
2024
A modified characteristics finite element method for the electroneutral micro-fluids. Zbl 1499.76073
Si, Zhiyong; Dong, Piaopiao; Wang, Yunxia
1
2022
Optimal error estimate of the penalty FEM for the stationary conduction-convection problems. Zbl 1488.76085
Lei, Yanfang; Wang, Hongtao; Si, Zhiyong
1
2018
A convex splitting method for the time-dependent Ginzburg-Landau equation. Zbl 07853035
Wang, Yunxia; Si, Zhiyong
1
2024
Unconditional stability and error estimates of the modified characteristics FEMs for the micropolar Navier-Stokes equations. Zbl 07853267
Si, Zhiyong; Ji, Yao; Wang, Yunxia
1
2024
A rotational velocity-correction projection method for the Kelvin-Voigt viscoelastic fluid equations. Zbl 1543.76076
Si, Zhiyong; Wang, Qing; Wang, Yunxia
1
2024
A consistent projection finite element method for the non-stationary incompressible thermally coupled MHD equations. Zbl 1527.76035
Si, Zhiyong; Hou, Akang; Wang, Yunxia
2
2023
A modified characteristics projection finite element method for the non-stationary incompressible thermally coupled MHD equations. Zbl 1538.76056
Si, Zhiyong; Guo, Xiaonan; Wang, Yunxia
2
2023
A modified characteristic projection finite element method for the Kelvin-Voigt viscoelastic fluid equations. Zbl 1524.76227
Si, Zhiyong; Wang, Qing; Wang, Yunxia
7
2022
A projection method for the non-stationary incompressible MHD coupled with the heat equations. Zbl 1510.76092
Si, Zhiyong; Wang, Mingyi; Wang, Yunxia
6
2022
Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent thermally coupled incompressible MHD equations. Zbl 1521.76367
Si, Zhiyong; Lu, Jingyun; Wang, Yunxia
3
2022
A modified characteristics finite element method for the electroneutral micro-fluids. Zbl 1499.76073
Si, Zhiyong; Dong, Piaopiao; Wang, Yunxia
1
2022
Unconditional stability and error estimates of the modified characteristics FEM for the time-dependent viscoelastic Oldroyd flows. Zbl 1488.76089
Yang, Yang; Lei, Yanfang; Si, Zhiyong
8
2021
A consistent projection finite element method for the incompressible MHD equations. Zbl 1482.76081
Yang, Yang; Si, Zhiyong
7
2021
A rotational pressure-correction projection methods for unsteady incompressible magnetohydrodynamics equations. Zbl 1465.76057
Shen, Xiaojuan; Wang, Yunxia; Si, Zhiyong
15
2020
A rotational velocity-correction projection method for unsteady incompressible magnetohydrodynamics equations. Zbl 1447.65074
Guan, Jixiang; Jing, Shujie; Si, Zhiyong
10
2020
Unconditional optimal error estimate of the projection/Lagrange-Galerkin finite element method for the Boussinesq equations. Zbl 1440.65148
Si, Zhiyong; Lei, Yanfang; Tong, Zhang
10
2020
A modified characteristics projection finite element method for unsteady incompressible magnetohydrodynamics equations. Zbl 1484.76041
Jing, Shujie; Guan, Jixiang; Si, Zhiyong
3
2020
Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent incompressible MHD equations. Zbl 1442.65284
Yang, Yang; Si, Zhiyong
11
2019
Partitioned penalty methods for the transport equation in the evolutionary Stokes-Darcy-transport problem. Zbl 1419.76437
Ervin, V.; Kubacki, M.; Layton, W.; Moraiti, M.; Si, Z.; Trenchea, C.
9
2019
An incremental pressure correction finite element method for the time-dependent Oldroyd flows. Zbl 1431.65174
Liu, Cui; Si, Zhiyong
6
2019
A second order in time incremental pressure correction finite element method for the Navier-Stokes/Darcy problem. Zbl 1405.76011
Wang, Yunxia; Li, Shishun; Si, Zhiyong
7
2018
Error estimate of a fully discrete defect correction finite element method for unsteady incompressible magnetohydrodynamics equations. Zbl 1397.76029
Lei, Yanfang; Yang, Yang; Si, Zhiyong
7
2018
Optimal error estimate of the penalty FEM for the stationary conduction-convection problems. Zbl 1488.76085
Lei, Yanfang; Wang, Hongtao; Si, Zhiyong
1
2018
A semi-discrete defect correction finite element method for unsteady incompressible magnetohydrodynamics equations. Zbl 1368.76016
Si, Zhiyong; Liu, Cui; Wang, Yunxia
16
2017
Unconditional stability and error estimates of modified characteristics FEMs for the Navier-Stokes equations. Zbl 1346.76073
Si, Zhiyong; Wang, Jilu; Sun, Weiwei
69
2016
Defect correction finite element method for the stationary incompressible magnetohydrodynamics equation. Zbl 1410.76198
Si, Zhiyong; Jing, Shujie; Wang, Yunxia
15
2016
Decoupled two-grid finite element method for the time-dependent natural convection problem. I: Spatial discretization. Zbl 1336.65172
Zhang, Tong; Yuan, Jinyun; Si, Zhiyong
21
2015
Several iterative schemes for the stationary natural convection equations at different Rayleigh numbers. Zbl 1325.65154
Huang, Pengzhan; Li, Wenqiang; Si, Zhiyong
17
2015
A gauge-Uzawa finite element method for the time-dependent viscoelastic Oldroyd flows. Zbl 1311.76072
Si, Zhiyong; Li, Wenqiang; Wang, Yunxia
11
2015
Modified characteristics mixed defect-correction finite element method for the time-dependent Navier-Stokes problems. Zbl 1446.76096
Si, Zhiyong; He, Yinnian; Wang, Yunxia
7
2015
Modified characteristics projection finite element method for time-dependent conduction-convection problems. Zbl 1338.76067
Si, Zhiyong; Wang, Yunxia
5
2015
Modified method of characteristics variational multiscale finite element method for time dependent Navier-Stokes problems. Zbl 1488.76026
Si, Zhiyong; Wang, Yunxia; Feng, Xinlong
3
2015
On limiting behavior of contaminant transport models in coupled surface and groundwater flows. Zbl 1369.76057
Ervin, Vincent J.; Kubacki, Michaela; Layton, William; Moraiti, Marina; Si, Zhiyong; Trenchea, Catalin
2
2015
A new error analysis of characteristics-mixed FEMs for miscible displacement in porous media. Zbl 1433.65315
Wang, Jilu; Si, Zhiyong; Sun, Weiwei
63
2014
Fully discrete local discontinuous Galerkin method for solving the fractional telegraph equation. Zbl 1311.35331
Wei, Leilei; Dai, Huiya; Zhang, Dingling; Si, Zhiyong
30
2014
Modified characteristics gauge-Uzawa finite element method for time dependent conduction-convection problems. Zbl 1335.65082
Si, Zhiyong; Song, Xiaogang; Huang, Pengzhan
27
2014
Decoupled modified characteristics finite element method for the time-dependent Navier-Stokes/Darcy problem. Zbl 1426.76309
Si, Zhiyong; Wang, Yunxia; Li, Shishun
19
2014
A second order modified characteristics variational multiscale finite element method for time-dependent Navier-Stokes problems. Zbl 1289.76054
Si, Zhiyong; Su, Jian; He, Yinnian
2
2013
Second order modified method of characteristics mixed defect-correction finite element method for time dependent Navier-Stokes problems. Zbl 1432.76084
Si, Zhiyong
21
2012
A defect-correction method for unsteady conduction-convection problems. II: Time discretization. Zbl 1427.76146
Si, Zhiyong; He, Yinnian; Zhang, Tong
19
2012
A stabilized Oseen iterative finite element method for stationary conduction-convection equations. Zbl 1427.76129
Huang, Pengzhan; Zhang, Tong; Si, Zhiyong
9
2012
Stabilized finite element method for the viscoelastic Oldroyd fluid flows. Zbl 1336.76022
Wang, Kun; Si, Zhiyong; Yang, Yanfang
8
2012
A defect-correction method for unsteady conduction-convection problems. I: Spatial discretization. Zbl 1227.76040
Si, Zhiyong; He, Yinnian; Wang, Kun
18
2011
A defect-correction mixed finite element method for stationary conduction-convection problems. Zbl 1204.76021
Si, Zhiyong; He, Yinnian
13
2011
A coupled Newton iterative mixed finite element method for stationary conduction-convection problems. Zbl 1206.65249
Si, Zhiyong; He, Yinnian
13
2010
A stabilised characteristic finite element method for transient Navier-Stokes equations. Zbl 1271.76177
Zhang, Tong; Si, Zhiyong; He, Yinnian
13
2010
A Newton iterative mixed finite element method for stationary conduction-convection problems. Zbl 1267.76066
Si, Zhiyong; Zhang, Tong; Wang, Kun
11
2010
The semi-discrete streamline diffusion finite element method for time-dependent convection-diffusion problems. Zbl 1153.65098
Si, Zhiyong; Feng, Xinlong; Abduwali, Abdurishit
13
2008
all top 5

Cited by 415 Authors

37 Si, Zhiyong
28 Zhang, Tong
27 Shi, Dongyang
21 Huang, Pengzhan
19 Wang, Yunxia
18 He, Yinnian
17 Feng, Xinlong
15 Li, Meng
13 Wang, Junjun
9 Sun, Weiwei
8 Qian, Yanxia
7 Jia, Hongen
7 Rui, Hongxing
7 Shang, Yueqiang
7 Su, Haiyan
7 Yang, Huaijun
6 Hou, Yanren
6 Zheng, Haibiao
5 Li, Jian
5 Liu, Demin
5 Liu, Qian
5 Yuan, Jinyun
4 Al Mahbub, Md. Abdullah
4 Chen, Chuanjun
4 Chu, Xiaochen
4 Esen, Alaattin
4 Gatica, Gabriel N.
4 Goswami, Deepjyoti
4 Jia, Xiaofeng
4 Jiang, Yaolin
4 Lei, Yanfang
4 Li, Dongfang
4 Tasbozan, Orkun
4 Wang, Jilu
4 Wang, Nan
4 Wu, Chengda
4 Yang, Yang
4 Zhang, Yunzhang
4 Zheng, Bo
3 Bir, Bikram
3 Cao, Luling
3 Chen, Wenbin
3 Chen, Yanping
3 Colmenares, Eligio
3 Ding, Qianqian
3 Feng, Hui
3 Gao, Huadong
3 Guo, Liming
3 Guo, Yingwen
3 Huang, Yunqing
3 Jin, Jiaojiao
3 Jing, Shujie
3 Li, Buyang
3 Li, Jingwei
3 Li, Minghao
3 Li, Xiaoli
3 Li, Zhenzhen
3 Liang, Hongxia
3 Liao, Xin
3 Long, Xiaonian
3 Pei, Lifang
3 Shen, Xiaojuan
3 Wang, Danxia
3 Wang, Kun
3 Wang, Lingli
3 Wang, Xiuli
3 Xu, Chao
3 Zhai, Qilong
3 Zhang, Chenhui
3 Zhang, Zhimin
3 Zhao, Jianping
2 Avijit, D.
2 Băleanu, Dumitru I.
2 Bhrawy, Ali Hassan
2 Bonyadi, Samira
2 Cai, Wentao
2 Cai, Yongyong
2 Chen, Shaochun
2 Dehghan Takht Fooladi, Mehdi
2 Dongyang, Shi
2 Fu, Kai
2 Guan, Jixiang
2 Jia, Huiyong
2 Jiang, Tao
2 Lakestani, Mehrdad
2 Li, Shishun
2 Li, Wenqiang
2 Li, XinDong
2 Liang, Dong
2 Lin, Yanping
2 Liu, Cui
2 Lu, Yu
2 Ma, Huimin
2 Ma, Xiaoling
2 Machado, José António Tenreiro
2 Mahmoudi, Yaghoub
2 Mei, Liquan
2 Moraga, Sebastián
2 Oyarzúa, Ricardo
2 Pironneau, Olivier
...and 315 more Authors
all top 5

Cited in 77 Serials

37 Computers & Mathematics with Applications
28 Applied Numerical Mathematics
22 Applied Mathematics and Computation
18 Mathematical Methods in the Applied Sciences
17 Journal of Scientific Computing
16 Communications in Nonlinear Science and Numerical Simulation
15 Journal of Computational and Applied Mathematics
15 Numerical Methods for Partial Differential Equations
9 Advances in Applied Mathematics and Mechanics
7 Computational and Applied Mathematics
6 Computers and Fluids
6 SIAM Journal on Numerical Analysis
6 International Journal of Computer Mathematics
5 Applicable Analysis
5 SIAM Journal on Scientific Computing
5 Mathematical Problems in Engineering
4 Computer Methods in Applied Mechanics and Engineering
4 Numerische Mathematik
4 Journal of Computational Mathematics
4 Numerical Algorithms
4 Advances in Computational Mathematics
4 Discrete and Continuous Dynamical Systems. Series B
4 International Journal of Numerical Analysis and Modeling
3 International Journal for Numerical Methods in Fluids
3 Journal of Mathematical Analysis and Applications
3 Calcolo
3 Mathematics and Computers in Simulation
3 Applied Mathematical Modelling
3 International Journal of Computational Fluid Dynamics
3 Boundary Value Problems
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Communications in Computational Physics
2 Journal of Computational Physics
2 Mathematics of Computation
2 International Journal for Numerical Methods in Engineering
2 Applied Mathematics and Mechanics. (English Edition)
2 Applied Mathematics Letters
2 Engineering Analysis with Boundary Elements
2 International Journal of Computational Methods
2 Mediterranean Journal of Mathematics
2 Advances in Difference Equations
2 Chinese Journal of Physics (Taipei)
1 Computer Physics Communications
1 Journal of Fluid Mechanics
1 Journal of the Korean Mathematical Society
1 Journal of Optimization Theory and Applications
1 Numerical Functional Analysis and Optimization
1 Chinese Annals of Mathematics. Series B
1 Applications of Mathematics
1 Computational Mathematics and Mathematical Physics
1 Applied Mathematics. Series B (English Edition)
1 Journal of Difference Equations and Applications
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Discrete Dynamics in Nature and Society
1 Journal of Mathematical Fluid Mechanics
1 Lobachevskii Journal of Mathematics
1 Mathematical Modelling and Analysis
1 Computational Methods in Applied Mathematics
1 Portugaliae Mathematica. Nova Série
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of Applied Mathematics and Computing
1 Mathematical Biosciences and Engineering
1 Networks and Heterogeneous Media
1 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică
1 Discrete and Continuous Dynamical Systems. Series S
1 Numerical Mathematics: Theory, Methods and Applications
1 Tbilisi Mathematical Journal
1 Science China. Mathematics
1 Journal of Mathematics and Computer Science. JMCS
1 Journal of Applied Analysis and Computation
1 Computational Methods for Differential Equations
1 International Journal of Applied and Computational Mathematics
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 AIMS Mathematics
1 SMAI Journal of Computational Mathematics
1 Journal of Computational and Theoretical Transport

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