×
Author ID: yuan.guangwei Recent zbMATH articles by "Yuan, Guangwei"
Published as: Yuan, Guangwei; Yuan, Guang-wei; Yuan, Guang-Wei; Yuan, Guang Wei; Yuan, GuangWei; Yuan, G. W.; Yuan, G.
all top 5

Serials

17 Journal of Computational Physics
16 Communications in Computational Physics
10 Mathematica Numerica Sinica
9 Journal of Partial Differential Equations
8 Journal of Computational Mathematics
8 Science in China. Series A
7 Applied Mathematics and Computation
6 Numerical Methods for Partial Differential Equations
5 Computers & Mathematics with Applications
5 Journal of Computational and Applied Mathematics
5 Advances in Mathematics (Beijing)
5 Applied Numerical Mathematics
5 International Journal of Computer Mathematics
5 SIAM Journal on Scientific Computing
5 Journal on Numerical Methods and Computer Applications
3 Computer Methods in Applied Mechanics and Engineering
3 Applied Mathematics Letters
3 Journal of Scientific Computing
3 Chinese Journal of Numerical Mathematics and Applications
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 International Journal of Numerical Analysis and Modeling
3 Advances in Applied Mathematics and Mechanics
2 Applicable Analysis
2 International Journal for Numerical Methods in Fluids
2 Journal of Mathematical Physics
2 International Journal for Numerical Methods in Engineering
2 Acta Mathematicae Applicatae Sinica
2 Acta Mathematicae Applicatae Sinica. English Series
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Engineering Analysis with Boundary Elements
2 Nonlinear Dynamics
2 Numerical Mathematics: Theory, Methods and Applications
2 Scientia Sinica. Mathematica
1 IMA Journal of Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Transport Theory and Statistical Physics
1 Meccanica
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 SIAM Journal on Numerical Analysis
1 Journal of Mathematical Research & Exposition
1 Chinese Annals of Mathematics. Series A
1 Chinese Annals of Mathematics. Series B
1 Acta Scientiarum Naturalium Universitatis Normalis Hunanensis
1 SIAM Journal on Mathematical Analysis
1 Acta Mathematica Scientia
1 Acta Mathematica Sinica. New Series
1 Advances in Computational Mathematics
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Computational Geosciences
1 Progress in Natural Science
1 Discrete and Continuous Dynamical Systems. Series B
1 Acta Mathematica Scientia. Series B. (English Edition)
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Kinetic and Related Models
1 Science China. Mathematics

Publications by Year

Citations contained in zbMATH Open

131 Publications have been cited 1,416 times in 595 Documents Cited by Year
Monotone finite volume schemes for diffusion equations on polygonal meshes. Zbl 1147.65069
Yuan, Guangwei; Sheng, Zhiqiang
137
2008
The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes. Zbl 1218.65120
Sheng, Zhiqiang; Yuan, Guangwei
75
2011
A nine point scheme for the approximation of diffusion operators on distorted quadrilateral meshes. Zbl 1167.65049
Sheng, Zhiqiang; Yuan, Guangwei
63
2008
Monotone finite volume schemes of nonequilibrium radiation diffusion equations on distorted meshes. Zbl 1195.65115
Sheng, Zhiqiang; Yue, Jingyan; Yuan, Guangwei
59
2009
An improved monotone finite volume scheme for diffusion equation on polygonal meshes. Zbl 1242.65219
Sheng, Zhiqiang; Yuan, Guangwei
43
2012
Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation. Zbl 1121.65096
Sheng, Zhiqiang; Yuan, Guangwei; Hang, Xudeng
36
2007
Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes. Zbl 1187.65119
Wu, Jiming; Dai, Zihuan; Gao, Zhiming; Yuan, Guangwei
35
2010
A new nonlinear finite volume scheme preserving positivity for diffusion equations. Zbl 1349.65582
Sheng, Zhiqiang; Yuan, Guangwei
34
2016
Global smooth solution for the Klein-Gordon-Zakharov equations. Zbl 0845.35107
Guo, Boling; Yuan, Guangwei
34
1995
A robust HLLC-type Riemann solver for strong shock. Zbl 1351.76043
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
28
2016
A monotone finite volume scheme for advection-diffusion equations on distorted meshes. Zbl 1253.76069
Wang, Shuai; Yuan, Guangwei; Li, Yonghai; Sheng, Zhiqiang
28
2012
Existence and uniqueness of the \(C^ \alpha\) solution for the thermistor problem with mixed boundary value. Zbl 0808.35064
Yuan, Guangwei; Liu, Zuhan
23
1994
Construction of nonlinear weighted method for finite volume schemes preserving maximum principle. Zbl 1453.65391
Sheng, Zhiqiang; Yuan, Guangwei
23
2018
Picard-Newton iterative method with time step control for multimaterial non-equilibrium radiation diffusion problem. Zbl 1373.76205
Yue, Jingyan; Yuan, Guangwei
22
2011
Existence of solution of a finite volume scheme preserving maximum principle for diffusion equations. Zbl 1384.65078
Yuan, Guangwei; Yu, Yunlong
22
2018
Boundary knot method for Poisson equations. Zbl 1182.74250
Chen, W.; Shen, L. J.; Shen, Z. J.; Yuan, G. W.
21
2005
Discrete maximum principle based on repair technique for diamond type scheme of diffusion problems. Zbl 1412.65183
Wang, Shuai; Yuan, Guangwei; Li, Yonghai; Sheng, Zhiqiang
21
2012
The unconditional stability of parallel difference schemes with second order convergence for nonlinear parabolic system. Zbl 1142.65408
Yuan, Guangwei; Sheng, Zhiqiang; Hang, Xudeng
20
2007
An explicit-implicit predictor-corrector domain decomposition method for time dependent multi-dimensional convection diffusion equations. Zbl 1212.65369
Zhu, Liyong; Yuan, Guangwei; Du, Qiang
19
2009
A cell-centered nonlinear finite volume scheme preserving fully positivity for diffusion equation. Zbl 1371.65114
Sheng, Zhiqiang; Yuan, Guangwei
19
2016
Enforcing positivity with conservation for nine-point scheme of nonlinear diffusion equations. Zbl 1253.65134
Yao, Yanzhong; Yuan, Guangwei
19
2012
Regularity of solutions of the thermistor problem. Zbl 0843.35046
Yuan, Guangwei
18
1994
Analysis of accuracy of a finite volume scheme for diffusion equations on distorted meshes. Zbl 1119.65084
Yuan, Guangwei; Sheng, Zhiqiang
18
2007
A finite volume element scheme with a monotonicity correction for anisotropic diffusion problems on general quadrilateral meshes. Zbl 07504690
Gao, Yanni; Yuan, Guangwei; Wang, Shuai; Hang, Xudeng
17
2020
Cell-centered finite volume methods with flexible stencils for diffusion equations on general nonconforming meshes. Zbl 1227.76042
Chang, Lina; Yuan, Guangwei
17
2009
A stability analysis of hybrid schemes to cure shock instability. Zbl 1373.76144
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
17
2014
A finite volume scheme preserving maximum principle for the system of radiation diffusion equations with three-temperature. Zbl 1426.65137
Yu, Yunlong; Chen, Xingding; Yuan, Guangwei
16
2019
Acceleration methods of nonlinear iteration for nonlinear parabolic equations. Zbl 1111.65080
Yuan, Guangwei; Hang, Xudeng
15
2006
The finite volume scheme preserving maximum principle for two-dimensional time-fractional Fokker-Planck equations on distorted meshes. Zbl 1524.35731
Yang, Xuehua; Zhang, Haixiang; Zhang, Qi; Yuan, Guangwei; Sheng, Zhiqiang
15
2019
Monotone finite volume scheme for three dimensional diffusion equation on tetrahedral meshes. Zbl 1388.65081
Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei
14
2017
Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional parabolic systems. Zbl 0942.65097
Yuan, Guangwei; Shen, Longjun; Zhou, Yulin
14
1999
A pyramid scheme for three-dimensional diffusion equations on polyhedral meshes. Zbl 1380.65336
Wang, Shuai; Hang, Xudeng; Yuan, Guangwei
14
2017
A conservative domain decomposition procedure for nonlinear diffusion problems on arbitrary quadrilateral grids. Zbl 1230.65100
Yuan, Guangwei; Yao, Yanzhong; Yin, Li
12
2011
Analysis and construction of cell-centered finite volume scheme for diffusion equations on distorted meshes. Zbl 1229.76065
Zhao, Qiang; Yuan, Guangwei
12
2009
An improvement of the two-point flux approximation scheme on polygonal meshes. Zbl 1452.65305
Chang, Lina; Sheng, Zhiqiang; Yuan, Guangwei
12
2019
Alternating group explicit method for the dispersive equation. Zbl 0960.65085
Zhu, Shaohong; Yuan, Guangwei; Shen, Longjun
12
2000
Simple positivity-preserving nonlinear finite volume scheme for subdiffusion equations on general non-conforming distorted meshes. Zbl 1519.65030
Yang, Xuehua; Zhang, Haixiang; Zhang, Qi; Yuan, Guangwei
12
2022
A robust and contact resolving Riemann solver on unstructured mesh, part I, Euler method. Zbl 1349.76386
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
11
2014
A positivity-preserving pyramid scheme for anisotropic diffusion problems on general hexahedral meshes with nonplanar cell faces. Zbl 1415.76483
Wang, Shuai; Hang, Xudeng; Yuan, Guangwei
11
2018
Convergence and stability of explicit/implicit schemes for parabolic equations with discontinuous coefficients. Zbl 1075.65116
Zhu, Shaohong; Yuan, Guangwei; Sun, Weiwei
11
2004
Nonlinear scheme with high accuracy for nonlinear coupled parabolic-hyperbolic system. Zbl 1218.65082
Cui, Xia; Yue, Jing-Yan; Yuan, Guang-Wei
10
2011
The computational method for nonlinear parabolic equation. Zbl 1488.65308
Yuan, Guangwei; Yue, Jingyan; Sheng, Zhiqiang; Shen, Longjun
10
2013
A robust and contact resolving Riemann solver on unstructured mesh, part II, ALE method. Zbl 1349.76387
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
9
2014
General solutions and fundamental solutions of varied orders to the vibrational thin, the Berger, and the Winkler plates. Zbl 1182.74059
Chen, Wen; Shen, Z. J.; Shen, L. J.; Yuan, G. W.
9
2005
Numerical analysis and iteration acceleration of a fully implicit scheme for nonlinear diffusion problem with second-order time evolution. Zbl 1339.65107
Cui, Xia; Yuan, Guang-wei; Yue, Jing-yan
9
2016
A conservative parallel difference method for 2-dimension diffusion equation. Zbl 1381.65066
Jia, Dongxu; Sheng, Zhiqiang; Yuan, Guangwei
9
2018
A nonlinear finite volume scheme preserving maximum principle for diffusion equations. Zbl 1473.65265
Xu, Jinjing; Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei
9
2021
A positivity-preserving finite volume scheme for diffusion equations on polyhedral meshes. Zbl 1340.76055
Wang, Shuai; Hang, Xudeng; Yuan, Guangwei
8
2015
An efficient explicit/implicit domain decomposition method for convection-diffusion equations. Zbl 1196.65160
Zhu, Liyong; Yuan, Guangwei; Du, Qiang
8
2010
A finite volume scheme for diffusion equations on distorted quadrilateral meshes. Zbl 1375.82100
Sheng, Zhiqiang; Yuan, Guangwei
8
2008
Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes. Zbl 1442.65210
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
8
2019
Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients. Zbl 1435.65139
Wu, Dan; Yue, Jingyan; Yuan, Guangwei; Lv, Junliang
8
2019
Stability and convergence of the explicit-implicit conservative domain decomposition procedure for parabolic problems. Zbl 1067.65091
Yuan, Guangwei; Shen, Longjun
8
2004
Domain decomposition algorithm based on the group explicit formula for the heat equation. Zbl 1079.65099
Yuan, G.; Zhu, S.; Shen, L.
8
2005
Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems. Zbl 1023.65096
Yuan, Guangwei; Shen, Longjun; Zhou, Yulin
8
2001
A finite volume scheme for three-dimensional diffusion equations. Zbl 1388.65080
Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei
8
2015
Parallel difference schemes with interface extrapolation terms for quasi-linear parabolic systems. Zbl 1130.65094
Yuan, Guang-Wei; Hang, Xu-Deng; Sheng, Zhi-Qiang
8
2007
Monotonicity correction for second order element finite volume methods of anisotropic diffusion problems. Zbl 07524764
Yang, Hongtao; Yu, Boyang; Li, Yonghai; Yuan, Guangwei
7
2022
Some practical difference schemes with intrinsic parallelism for nonlinear parabolic systems. Zbl 0934.65092
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
7
1997
Nonnegativity-preserving repair techniques for the finite element solutions of degenerate nonlinear parabolic problems. Zbl 1438.65239
Lv, Junliang; Yuan, Guangwei; Yue, Jingyan
7
2018
A nonlinear convex combination in the construction of finite volume scheme satisfying maximum principle. Zbl 1442.65328
Sheng, Zhiqiang; Yuan, Guangwei; Yue, Jingyan
7
2020
A finite volume method preserving maximum principle for the diffusion equations with imperfect interface. Zbl 1451.65124
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
6
2020
A new positive finite volume scheme for two-dimensional convection-diffusion equation. Zbl 07805127
Lan, Bin; Sheng, Zhiqiang; Yuan, Guangwei
6
2019
A conservative parallel iteration scheme for nonlinear diffusion equations on unstructured meshes. Zbl 1388.65083
Yu, Yunlong; Yao, Yanzhong; Yuan, Guangwei; Chen, Xingding
6
2016
A cell-centered Lagrangian scheme in two-dimensional cylindrical geometry. Zbl 1152.76458
Shen, ZhiJun; Yuan, GuangWei; Yue, JingYan; Liu, XueZhe
6
2008
Cauchy problem for the Ginzburg-Landau equation for the superconductivity model. Zbl 0894.35024
Guo, Boling; Yuan, Guangwei
6
1997
An extremum-preserving iterative procedure for the imperfect interface problem. Zbl 1473.65304
Jia, Dongxu; Sheng, Zhiqiang; Yuan, Guangwei
6
2019
The uniqueness and stability for difference solutions with nonuniform meshes for nonlinear parabolic systems. Zbl 1495.65156
Yuan, Guang Wei
5
2000
A monotone combination scheme of diffusion equations on polygonal meshes. Zbl 07806604
Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei
5
2020
Diffusion schemes satisfying extremum principle on nonorthogonal meshes. Zbl 1513.65451
Yuan, Guangwei
5
2021
General difference schemes with intrinsic parallelism for nonlinear parabolic systems. Zbl 0885.65097
Zhou, Yulin; Yuan, Guangwei
5
1997
Positivity preserving finite volume scheme for the Nagumo-type equations on distorted meshes. Zbl 1427.65213
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
5
2018
Asymptotic-preserving discrete schemes for non-equilibrium radiation diffusion problem in spherical and cylindrical symmetrical geometries. Zbl 1488.65334
Cui, Xia; Shen, Zhi-Jun; Yuan, Guang-Wei
5
2018
Monotone finite volume schemes for diffusion equation with imperfect interface on distorted meshes. Zbl 1397.65229
Cao, Fujun; Sheng, Zhiqiang; Yuan, Guangwei
5
2018
A monotone finite volume scheme for diffusion equations on general non-conforming meshes. Zbl 1426.65160
Zhang, Qi; Sheng, Zhiqiang; Yuan, Guangwei
4
2017
Finite difference method of first boundary problem for quasilinear parabolic systems. V. Zbl 0903.65071
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
4
1997
Local existence of bounded solutions to the degenerate Stefan problem with Joule’s heating. Zbl 0846.35072
Yuan, Guangwei
4
1996
Stability condition for difference schemes for parabolic systems. Zbl 0970.65098
Sun, Weiwei; Yuan, Guangwei
4
2000
Finite difference method of first boundary problem for quasilinear parabolic systems. IV: Convergence of iteration. Zbl 0883.65070
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
4
1997
On the suitable weak solutions to the Boussinesq equations in a bounded domain. Zbl 0862.35088
Guo, Boling; Yuan, Guangwei
4
1996
Iterative acceleration methods with second-order time accuracy for nonlinear diffusion equations. Zbl 1436.65117
Zhao, Fei; Cui, Xia; Yuan, Guangwei
4
2020
A new interpolation for auxiliary unknowns of the monotone finite volume scheme for 3D diffusion equations. Zbl 1473.65151
Zhao, Fei; Lai, Xiang; Yuan, Guangwei; Sheng, Zhiqiang
4
2020
A finite volume scheme preserving maximum principle with cell-centered and vertex unknowns for diffusion equations on distorted meshes. Zbl 1508.65151
Wang, Jiangfu; Sheng, Zhiqiang; Yuan, Guangwei
4
2021
A second-order space-time accurate scheme for nonlinear diffusion equation with general capacity term. Zbl 07777676
Zheng, Huan; Yuan, Guangwei; Cui, Xia
4
2020
Asymptotic analysis of discrete schemes for non-equilibrium radiation diffusion. Zbl 1349.65368
Cui, Xia; Yuan, Guang-wei; Shen, Zhi-jun
3
2016
Discrete strong extremum principles for finite element solutions of diffusion problems with nonlinear corrections. Zbl 1483.65193
Wang, Shuai; Yuan, Guangwei
3
2022
Analysis of the nonlinear scheme preserving the maximum principle for the anisotropic diffusion equation on distorted meshes. Zbl 1500.65093
Sheng, Zhiqiang; Yuan, Guangwei
3
2022
A robust, interpolation-free and monotone finite volume scheme for diffusion equations on arbitrary quadrilateral meshes. Zbl 07768046
Wu, Xiaoxin; Pan, Kejia; Li, Jin; Yu, Yunlong; Yuan, Guangwei; Ren, Zhengyong
3
2022
Extrapolation cascadic multigrid method for cell-centered FV discretization of diffusion equations with strongly discontinuous and anisotropic coefficients. Zbl 1486.65281
Pan, Kejia; Wu, Xiaoxin; Yu, Yunlong; Sheng, Zhiqiang; Yuan, Guangwei
3
2022
The finite volume scheme preserving maximum principle for diffusion equations with discontinuous coefficient. Zbl 1437.65168
Yu, Yao; Yuan, Guangwei; Sheng, Zhiqiang; Li, Yonghai
3
2020
Difference schemes with intrinsic parallelism for dispersive equation. Zbl 1057.65057
Zhu, Shaohong; Yuan, Guangwei
3
2003
Iterative algorithms for impressed cathodic protection systems. Zbl 1100.74650
Sun, W.; Yuan, Guangwei; Ren, Y.
3
2000
A monotone finite volume scheme with second order accuracy for convection-diffusion equations on deformed meshes. Zbl 1475.65170
Lan, Bin; Sheng, Zhiqiang; Yuan, Guangwei
3
2018
Two nonlinear positivity-preserving finite volume schemes for three-dimensional heat conduction equations on general polyhedral meshes. Zbl 1474.65315
Liu, Menghuan; Shu, Shi; Yuan, Guangwei; Yue, Xiaoqiang
3
2021
Initial boundary value problems for Boussinesq equations with \(L^p\) data. Zbl 1062.35502
Guo, Boling; Yuan, Guangwei
2
1996
A cell-centered ALE method with HLLC-2D Riemann solver in 2D cylindrical geometry. Zbl 1499.76075
Ren, Jian; Shen, Zhijun; Yan, Wei; Yuan, Guangwei
2
2021
Adaptive bilinear element finite volume methods for second-order elliptic problems on nonmatching grids. Zbl 1327.65205
Chen, Yanli; Li, Yonghai; Sheng, Zhiqiang; Yuan, Guangwei
2
2015
Parallel difference schemes for heat conduction equations. Zbl 1047.65075
Yuan, Guangwei; Zuo, Fengli
2
2003
Positivity and extremum preserving of nine point schemes for diffusion equations. Zbl 1488.65307
Yuan, Guangwei
2
2021
A finite volume scheme preserving the invariant region property for the coupled system of FitzHugh-Nagumo equations on distorted meshes. Zbl 1524.65697
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
2
2022
A nonlinear scheme preserving maximum principle for heterogeneous anisotropic diffusion equation. Zbl 1523.65087
Sheng, Zhiqiang; Yuan, Guangwei
1
2024
Extremum-preserving correction of the nine-point scheme for diffusion equation on distorted meshes. Zbl 1513.65450
Kong, Wang; Hong, Zhenying; Yuan, Guangwei; Sheng, Zhiqiang
2
2023
A positivity-preserving finite volume scheme for multi-group neutron diffusion kinetics equations with delayed neutrons. Zbl 1524.35211
Xu, Jinjing; Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei
1
2023
Simple positivity-preserving nonlinear finite volume scheme for subdiffusion equations on general non-conforming distorted meshes. Zbl 1519.65030
Yang, Xuehua; Zhang, Haixiang; Zhang, Qi; Yuan, Guangwei
12
2022
Monotonicity correction for second order element finite volume methods of anisotropic diffusion problems. Zbl 07524764
Yang, Hongtao; Yu, Boyang; Li, Yonghai; Yuan, Guangwei
7
2022
Discrete strong extremum principles for finite element solutions of diffusion problems with nonlinear corrections. Zbl 1483.65193
Wang, Shuai; Yuan, Guangwei
3
2022
Analysis of the nonlinear scheme preserving the maximum principle for the anisotropic diffusion equation on distorted meshes. Zbl 1500.65093
Sheng, Zhiqiang; Yuan, Guangwei
3
2022
A robust, interpolation-free and monotone finite volume scheme for diffusion equations on arbitrary quadrilateral meshes. Zbl 07768046
Wu, Xiaoxin; Pan, Kejia; Li, Jin; Yu, Yunlong; Yuan, Guangwei; Ren, Zhengyong
3
2022
Extrapolation cascadic multigrid method for cell-centered FV discretization of diffusion equations with strongly discontinuous and anisotropic coefficients. Zbl 1486.65281
Pan, Kejia; Wu, Xiaoxin; Yu, Yunlong; Sheng, Zhiqiang; Yuan, Guangwei
3
2022
A finite volume scheme preserving the invariant region property for the coupled system of FitzHugh-Nagumo equations on distorted meshes. Zbl 1524.65697
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
2
2022
An exact-interface-fitted mesh generator and linearity-preserving finite volume scheme for anisotropic elliptic interface problems. Zbl 07536783
Pan, Kejia; Wu, Xiaoxin; Xu, Yufeng; Yuan, Guangwei
2
2022
The corrected finite volume element methods for diffusion equations satisfying discrete extremum principle. Zbl 1505.65286
Li, Ang; Yang, Hongtao; Li, Yonghai; Yuan, Guangwei
2
2022
Monotonicity correction for the finite element method of anisotropic diffusion problems. Zbl 1486.65269
Yu, Boyang; Yang, Hongtao; Li, Yonghai; Yuan, Guangwei
1
2022
A new finite volume scheme with gradient transfer method for solving diffusion problems on the distorted hexahedral meshes. Zbl 1484.65287
Pan, Kejia; Li, Jin; Wu, Xiaoxin; Yuan, Guangwei; Yue, Xiaoqiang
1
2022
A vertex-centered finite volume scheme preserving the discrete maximum principle for anisotropic and discontinuous diffusion equations. Zbl 1498.65191
Wang, Jiangfu; Sheng, Zhiqiang; Yuan, Guangwei
1
2022
A nonlinear finite volume scheme preserving maximum principle for diffusion equations. Zbl 1473.65265
Xu, Jinjing; Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei
9
2021
Diffusion schemes satisfying extremum principle on nonorthogonal meshes. Zbl 1513.65451
Yuan, Guangwei
5
2021
A finite volume scheme preserving maximum principle with cell-centered and vertex unknowns for diffusion equations on distorted meshes. Zbl 1508.65151
Wang, Jiangfu; Sheng, Zhiqiang; Yuan, Guangwei
4
2021
Two nonlinear positivity-preserving finite volume schemes for three-dimensional heat conduction equations on general polyhedral meshes. Zbl 1474.65315
Liu, Menghuan; Shu, Shi; Yuan, Guangwei; Yue, Xiaoqiang
3
2021
A cell-centered ALE method with HLLC-2D Riemann solver in 2D cylindrical geometry. Zbl 1499.76075
Ren, Jian; Shen, Zhijun; Yan, Wei; Yuan, Guangwei
2
2021
Positivity and extremum preserving of nine point schemes for diffusion equations. Zbl 1488.65307
Yuan, Guangwei
2
2021
Existence of a fully implicit solution with second-order time evolution for strong nonlinear diffusion equation. Zbl 1471.65101
Gong, Yujie; Yuan, Guangwei; Cui, Xia
2
2021
A conservative gradient discretization method for parabolic equations. Zbl 1488.65362
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
2
2021
Analysis on a numerical scheme with second-order time accuracy for nonlinear diffusion equations. Zbl 1499.65383
Cui, Xia; Yuan, Guangwei; Zhao, Fei
1
2021
A finite volume element scheme with a monotonicity correction for anisotropic diffusion problems on general quadrilateral meshes. Zbl 07504690
Gao, Yanni; Yuan, Guangwei; Wang, Shuai; Hang, Xudeng
17
2020
A nonlinear convex combination in the construction of finite volume scheme satisfying maximum principle. Zbl 1442.65328
Sheng, Zhiqiang; Yuan, Guangwei; Yue, Jingyan
7
2020
A finite volume method preserving maximum principle for the diffusion equations with imperfect interface. Zbl 1451.65124
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
6
2020
A monotone combination scheme of diffusion equations on polygonal meshes. Zbl 07806604
Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei
5
2020
Iterative acceleration methods with second-order time accuracy for nonlinear diffusion equations. Zbl 1436.65117
Zhao, Fei; Cui, Xia; Yuan, Guangwei
4
2020
A new interpolation for auxiliary unknowns of the monotone finite volume scheme for 3D diffusion equations. Zbl 1473.65151
Zhao, Fei; Lai, Xiang; Yuan, Guangwei; Sheng, Zhiqiang
4
2020
A second-order space-time accurate scheme for nonlinear diffusion equation with general capacity term. Zbl 07777676
Zheng, Huan; Yuan, Guangwei; Cui, Xia
4
2020
The finite volume scheme preserving maximum principle for diffusion equations with discontinuous coefficient. Zbl 1437.65168
Yu, Yao; Yuan, Guangwei; Sheng, Zhiqiang; Li, Yonghai
3
2020
Nonlinear iteration acceleration solution for equilibrium radiation diffusion equation. Zbl 1443.65152
Zhang, Yanmei; Cui, Xia; Yuan, Guangwei
1
2020
A finite volume scheme preserving maximum principle for the system of radiation diffusion equations with three-temperature. Zbl 1426.65137
Yu, Yunlong; Chen, Xingding; Yuan, Guangwei
16
2019
The finite volume scheme preserving maximum principle for two-dimensional time-fractional Fokker-Planck equations on distorted meshes. Zbl 1524.35731
Yang, Xuehua; Zhang, Haixiang; Zhang, Qi; Yuan, Guangwei; Sheng, Zhiqiang
15
2019
An improvement of the two-point flux approximation scheme on polygonal meshes. Zbl 1452.65305
Chang, Lina; Sheng, Zhiqiang; Yuan, Guangwei
12
2019
Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes. Zbl 1442.65210
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
8
2019
Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients. Zbl 1435.65139
Wu, Dan; Yue, Jingyan; Yuan, Guangwei; Lv, Junliang
8
2019
A new positive finite volume scheme for two-dimensional convection-diffusion equation. Zbl 07805127
Lan, Bin; Sheng, Zhiqiang; Yuan, Guangwei
6
2019
An extremum-preserving iterative procedure for the imperfect interface problem. Zbl 1473.65304
Jia, Dongxu; Sheng, Zhiqiang; Yuan, Guangwei
6
2019
Existence of solutions of a positive finite volume scheme for unsteady advection-diffusion equations. Zbl 1449.65221
Zhang, Yanmei; Lan, Bin; Sheng, Zhiqiang; Yuan, Guangwei
1
2019
Construction of nonlinear weighted method for finite volume schemes preserving maximum principle. Zbl 1453.65391
Sheng, Zhiqiang; Yuan, Guangwei
23
2018
Existence of solution of a finite volume scheme preserving maximum principle for diffusion equations. Zbl 1384.65078
Yuan, Guangwei; Yu, Yunlong
22
2018
A positivity-preserving pyramid scheme for anisotropic diffusion problems on general hexahedral meshes with nonplanar cell faces. Zbl 1415.76483
Wang, Shuai; Hang, Xudeng; Yuan, Guangwei
11
2018
A conservative parallel difference method for 2-dimension diffusion equation. Zbl 1381.65066
Jia, Dongxu; Sheng, Zhiqiang; Yuan, Guangwei
9
2018
Nonnegativity-preserving repair techniques for the finite element solutions of degenerate nonlinear parabolic problems. Zbl 1438.65239
Lv, Junliang; Yuan, Guangwei; Yue, Jingyan
7
2018
Positivity preserving finite volume scheme for the Nagumo-type equations on distorted meshes. Zbl 1427.65213
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
5
2018
Asymptotic-preserving discrete schemes for non-equilibrium radiation diffusion problem in spherical and cylindrical symmetrical geometries. Zbl 1488.65334
Cui, Xia; Shen, Zhi-Jun; Yuan, Guang-Wei
5
2018
Monotone finite volume schemes for diffusion equation with imperfect interface on distorted meshes. Zbl 1397.65229
Cao, Fujun; Sheng, Zhiqiang; Yuan, Guangwei
5
2018
A monotone finite volume scheme with second order accuracy for convection-diffusion equations on deformed meshes. Zbl 1475.65170
Lan, Bin; Sheng, Zhiqiang; Yuan, Guangwei
3
2018
On positivity preservation in nonlinear finite volume method for multi-term fractional subdiffusion equation on polygonal meshes. Zbl 1398.65259
Yang, Xuehua; Zhang, Qi; Yuan, Guangwei; Sheng, Zhiqiang
1
2018
Monotone finite volume scheme for three dimensional diffusion equation on tetrahedral meshes. Zbl 1388.65081
Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei
14
2017
A pyramid scheme for three-dimensional diffusion equations on polyhedral meshes. Zbl 1380.65336
Wang, Shuai; Hang, Xudeng; Yuan, Guangwei
14
2017
A monotone finite volume scheme for diffusion equations on general non-conforming meshes. Zbl 1426.65160
Zhang, Qi; Sheng, Zhiqiang; Yuan, Guangwei
4
2017
A parallel finite volume scheme preserving positivity for diffusion equation on distorted meshes. Zbl 1383.65100
Sheng, Zhiqiang; Yue, Jingyan; Yuan, Guangwei
2
2017
A new nonlinear finite volume scheme preserving positivity for diffusion equations. Zbl 1349.65582
Sheng, Zhiqiang; Yuan, Guangwei
34
2016
A robust HLLC-type Riemann solver for strong shock. Zbl 1351.76043
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
28
2016
A cell-centered nonlinear finite volume scheme preserving fully positivity for diffusion equation. Zbl 1371.65114
Sheng, Zhiqiang; Yuan, Guangwei
19
2016
Numerical analysis and iteration acceleration of a fully implicit scheme for nonlinear diffusion problem with second-order time evolution. Zbl 1339.65107
Cui, Xia; Yuan, Guang-wei; Yue, Jing-yan
9
2016
A conservative parallel iteration scheme for nonlinear diffusion equations on unstructured meshes. Zbl 1388.65083
Yu, Yunlong; Yao, Yanzhong; Yuan, Guangwei; Chen, Xingding
6
2016
Asymptotic analysis of discrete schemes for non-equilibrium radiation diffusion. Zbl 1349.65368
Cui, Xia; Yuan, Guang-wei; Shen, Zhi-jun
3
2016
A conservative enforcing positivity-preserving algorithm for diffusion scheme on general meshes. Zbl 1362.65090
Cao, Fu Jun; Yao, Yan Zhong; Yu, Yun Long; Yuan, Guang Wei
1
2016
A positivity-preserving finite volume scheme for diffusion equations on polyhedral meshes. Zbl 1340.76055
Wang, Shuai; Hang, Xudeng; Yuan, Guangwei
8
2015
A finite volume scheme for three-dimensional diffusion equations. Zbl 1388.65080
Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei
8
2015
Adaptive bilinear element finite volume methods for second-order elliptic problems on nonmatching grids. Zbl 1327.65205
Chen, Yanli; Li, Yonghai; Sheng, Zhiqiang; Yuan, Guangwei
2
2015
A constrained finite element method based on domain decomposition satisfying the discrete maximum principle for diffusion problems. Zbl 1388.65144
Chen, Xingding; Yuan, Guangwei
1
2015
A stability analysis of hybrid schemes to cure shock instability. Zbl 1373.76144
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
17
2014
A robust and contact resolving Riemann solver on unstructured mesh, part I, Euler method. Zbl 1349.76386
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
11
2014
A robust and contact resolving Riemann solver on unstructured mesh, part II, ALE method. Zbl 1349.76387
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
9
2014
The computational method for nonlinear parabolic equation. Zbl 1488.65308
Yuan, Guangwei; Yue, Jingyan; Sheng, Zhiqiang; Shen, Longjun
10
2013
An improved monotone finite volume scheme for diffusion equation on polygonal meshes. Zbl 1242.65219
Sheng, Zhiqiang; Yuan, Guangwei
43
2012
A monotone finite volume scheme for advection-diffusion equations on distorted meshes. Zbl 1253.76069
Wang, Shuai; Yuan, Guangwei; Li, Yonghai; Sheng, Zhiqiang
28
2012
Discrete maximum principle based on repair technique for diamond type scheme of diffusion problems. Zbl 1412.65183
Wang, Shuai; Yuan, Guangwei; Li, Yonghai; Sheng, Zhiqiang
21
2012
Enforcing positivity with conservation for nine-point scheme of nonlinear diffusion equations. Zbl 1253.65134
Yao, Yanzhong; Yuan, Guangwei
19
2012
The finite volume scheme preserving the positivity for diffusion equation. Zbl 1488.65358
Yuan, Guangwei; Sheng, Zhiqiang; Yue, Jingyan
1
2012
The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes. Zbl 1218.65120
Sheng, Zhiqiang; Yuan, Guangwei
75
2011
Picard-Newton iterative method with time step control for multimaterial non-equilibrium radiation diffusion problem. Zbl 1373.76205
Yue, Jingyan; Yuan, Guangwei
22
2011
A conservative domain decomposition procedure for nonlinear diffusion problems on arbitrary quadrilateral grids. Zbl 1230.65100
Yuan, Guangwei; Yao, Yanzhong; Yin, Li
12
2011
Nonlinear scheme with high accuracy for nonlinear coupled parabolic-hyperbolic system. Zbl 1218.65082
Cui, Xia; Yue, Jing-Yan; Yuan, Guang-Wei
10
2011
An efficient nonlinear iteration scheme for nonlinear parabolic-hyperbolic system. Zbl 1243.65104
Cui, Xia; Yuan, Guang-Wei; Yue, Jing-Yan
1
2011
Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes. Zbl 1187.65119
Wu, Jiming; Dai, Zihuan; Gao, Zhiming; Yuan, Guangwei
35
2010
An efficient explicit/implicit domain decomposition method for convection-diffusion equations. Zbl 1196.65160
Zhu, Liyong; Yuan, Guangwei; Du, Qiang
8
2010
Monotone finite volume schemes of nonequilibrium radiation diffusion equations on distorted meshes. Zbl 1195.65115
Sheng, Zhiqiang; Yue, Jingyan; Yuan, Guangwei
59
2009
An explicit-implicit predictor-corrector domain decomposition method for time dependent multi-dimensional convection diffusion equations. Zbl 1212.65369
Zhu, Liyong; Yuan, Guangwei; Du, Qiang
19
2009
Cell-centered finite volume methods with flexible stencils for diffusion equations on general nonconforming meshes. Zbl 1227.76042
Chang, Lina; Yuan, Guangwei
17
2009
Analysis and construction of cell-centered finite volume scheme for diffusion equations on distorted meshes. Zbl 1229.76065
Zhao, Qiang; Yuan, Guangwei
12
2009
Monotone finite volume schemes for diffusion equations on polygonal meshes. Zbl 1147.65069
Yuan, Guangwei; Sheng, Zhiqiang
137
2008
A nine point scheme for the approximation of diffusion operators on distorted quadrilateral meshes. Zbl 1167.65049
Sheng, Zhiqiang; Yuan, Guangwei
63
2008
A finite volume scheme for diffusion equations on distorted quadrilateral meshes. Zbl 1375.82100
Sheng, Zhiqiang; Yuan, Guangwei
8
2008
A cell-centered Lagrangian scheme in two-dimensional cylindrical geometry. Zbl 1152.76458
Shen, ZhiJun; Yuan, GuangWei; Yue, JingYan; Liu, XueZhe
6
2008
A domain decomposition method for a two-scale transport equation with energy flux conserved at the interface. Zbl 1146.65086
Jin, Shi; Yang, Xu; Yuan, Guangwei
2
2008
Calculating the vertex unknowns of nine point scheme on quadrilateral meshes for diffusion equation. Zbl 1161.65070
Yuan, GuangWei; Sheng, ZhiQiang
2
2008
Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation. Zbl 1121.65096
Sheng, Zhiqiang; Yuan, Guangwei; Hang, Xudeng
36
2007
The unconditional stability of parallel difference schemes with second order convergence for nonlinear parabolic system. Zbl 1142.65408
Yuan, Guangwei; Sheng, Zhiqiang; Hang, Xudeng
20
2007
Analysis of accuracy of a finite volume scheme for diffusion equations on distorted meshes. Zbl 1119.65084
Yuan, Guangwei; Sheng, Zhiqiang
18
2007
Parallel difference schemes with interface extrapolation terms for quasi-linear parabolic systems. Zbl 1130.65094
Yuan, Guang-Wei; Hang, Xu-Deng; Sheng, Zhi-Qiang
8
2007
Parallel iterative difference schemes based on prediction techniques for \(S_n\) transport method. Zbl 1190.82039
Yuan, Guangwei; Hang, Xudeng
1
2007
Acceleration methods of nonlinear iteration for nonlinear parabolic equations. Zbl 1111.65080
Yuan, Guangwei; Hang, Xudeng
15
2006
Boundary knot method for Poisson equations. Zbl 1182.74250
Chen, W.; Shen, L. J.; Shen, Z. J.; Yuan, G. W.
21
2005
General solutions and fundamental solutions of varied orders to the vibrational thin, the Berger, and the Winkler plates. Zbl 1182.74059
Chen, Wen; Shen, Z. J.; Shen, L. J.; Yuan, G. W.
9
2005
...and 31 more Documents
all top 5

Cited by 822 Authors

90 Yuan, Guangwei
46 Sheng, Zhiqiang
24 Wu, Jiming
17 Gao, Zhiming
16 Yang, Xuehua
14 Cui, Xia
14 Zhou, Zhongguo
12 Yang, Xiaozhong
12 Zhang, Haixiang
11 Li, Yonghai
11 Shen, Zhijun
9 Gáspár, Csaba
9 Liang, Dong
9 Pan, Kejia
9 Su, Shuai
9 Vassilevski, Yuri V.
9 Wu, Lifei
9 Zhou, Huifang
9 Zhu, Shaohong
8 Chen, Wen
8 Hang, Xudeng
8 Shen, Longjun
8 Shi, Dongyang
8 Yao, Yanzhong
7 Hermeline, François
7 Lyra, Paulo Roberto Maciel
7 Peng, Gang
7 Shu, Shi
7 Sun, Weiwei
7 Wang, Yihong
7 Wu, Xiaoxin
7 Xu, Qiuyan
7 Yu, Yunlong
7 Yue, Jingyan
7 Zhao, Fei
6 Blanc, Xavier
6 Labourasse, Emmanuel
6 Liu, Zhiyong
6 Lv, Junliang
6 Miao, Shuai
6 Pušić, Milenko
6 Wang, Shuai
5 Dehghan Takht Fooladi, Mehdi
5 Dimkić, Milan
5 Dotlić, Milan
5 Feng, Xinlong
5 Hu, Lijun
5 Huang, Weizhang
5 Li, Lin
5 Pokorni, Boris
5 Quenjel, EL Houssaine
5 Tang, Min
5 Vidovic, Dragan
5 Wang, Wenqia
5 Wu, Dan
5 Xie, Wenjia
5 Yang, Jiye
5 Yue, Xiaoqiang
5 Zhang, Zhimin
4 Chang, Lina
4 Contreras, Fernando R. L.
4 de Carvalho, Darlan Karlo Elisiário
4 Dong, Qiannan
4 Fan, Jishan
4 Fu, Zhuojia
4 Gao, Huadong
4 Gao, Yanni
4 Guo, Geyang
4 Lan, Bin
4 Maire, Pierre-Henri
4 Ni, Guoxi
4 Pan, Hao
4 Salehi, Rezvan
4 Terekhov, Kirill M.
4 Tian, Zhengyu
4 Wang, Yan
4 Xie, Hui
4 Xu, Da
4 Xu, Xuejun
4 Xue, Guanyu
4 Yang, Hongtao
4 Yang, Huaijun
4 Yong, Heng
4 Zhai, Chuanlei
4 Zhang, Luming
4 Zhang, Qi
4 Zhang, Ye
4 Zhang, Zhiyue
4 Zhou, Ziyi
3 Carvalho, Darlan K. E.
3 Chen, Xingding
3 Deng, Xi
3 Dong, Cheng
3 Feng, Hui
3 Flemisch, Bernd
3 Gao, Yulong
3 Jia, Dongxu
3 Li, Buyang
3 Lipnikov, Konstantin N.
3 Liu, Bo
...and 722 more Authors
all top 5

Cited in 107 Serials

90 Journal of Computational Physics
43 Computers & Mathematics with Applications
35 Applied Mathematics and Computation
33 Communications in Computational Physics
28 Journal of Computational and Applied Mathematics
23 Numerical Methods for Partial Differential Equations
21 Journal of Scientific Computing
17 Engineering Analysis with Boundary Elements
16 Applied Numerical Mathematics
15 Computational and Applied Mathematics
14 International Journal of Computer Mathematics
10 Computers and Fluids
10 Mathematical Methods in the Applied Sciences
10 Applied Mathematics Letters
10 Communications in Nonlinear Science and Numerical Simulation
10 Advances in Applied Mathematics and Mechanics
8 Mathematics and Computers in Simulation
8 Advances in Difference Equations
7 International Journal for Numerical Methods in Engineering
6 Computer Methods in Applied Mechanics and Engineering
6 Computer Physics Communications
6 International Journal for Numerical Methods in Fluids
6 Advances in Computational Mathematics
6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
5 Numerische Mathematik
5 Science in China. Series A
5 Applied Mathematical Modelling
5 SIAM Journal on Scientific Computing
5 Computational Geosciences
4 Journal of Computational Mathematics
4 International Journal of Numerical Analysis and Modeling
3 Applicable Analysis
3 Journal of Mathematical Analysis and Applications
3 Physica A
3 BIT
3 Journal of Differential Equations
3 Applied Mathematics and Mechanics. (English Edition)
3 Acta Mathematicae Applicatae Sinica. English Series
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Mathematical Problems in Engineering
3 Nonlinear Dynamics
3 Journal of Applied Mathematics and Computing
3 East Asian Journal on Applied Mathematics
3 Results in Applied Mathematics
2 Transport Theory and Statistical Physics
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Computational Mechanics
2 Numerical Algorithms
2 SIAM Journal on Mathematical Analysis
2 Archive of Applied Mechanics
2 Abstract and Applied Analysis
2 Lobachevskii Journal of Mathematics
2 Computational Methods in Applied Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Science China. Mathematics
2 AMM. Applied Mathematics and Mechanics. (English Edition)
2 Journal of Computational and Theoretical Transport
2 Communications in Analysis and Mechanics
1 Journal of Engineering Mathematics
1 Journal of Mathematical Biology
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Applied Mathematics and Optimization
1 Calcolo
1 SIAM Journal on Numerical Analysis
1 Mathematica Numerica Sinica
1 Acta Mathematicae Applicatae Sinica
1 Stochastic Analysis and Applications
1 International Journal of Parallel Programming
1 Linear Algebra and its Applications
1 SIAM Review
1 Vestnik St. Petersburg University. Mathematics
1 Calculus of Variations and Partial Differential Equations
1 Filomat
1 NoDEA. Nonlinear Differential Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 International Journal of Computational Fluid Dynamics
1 Discrete Dynamics in Nature and Society
1 European Journal of Mechanics. B. Fluids
1 Acta Mathematica Sinica. English Series
1 Nonlinear Analysis. Real World Applications
1 Foundations of Computational Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 Advanced Nonlinear Studies
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Analysis in Theory and Applications
1 Inverse Problems in Science and Engineering
1 Networks and Heterogeneous Media
1 International Journal of Computing Science and Mathematics
1 Advances in Mathematical Physics
1 Journal of Geometric Mechanics
1 International Journal for Numerical Methods in Biomedical Engineering
1 ISRN Applied Mathematics
1 ISRN Computational Mathematics
1 Forum of Mathematics, Sigma
1 Journal of Mathematics
1 Journal of Function Spaces
1 International Journal of Partial Differential Equations
...and 7 more Serials

Citations by Year