Edit Profile (opens in new tab) Yuan, Guangwei Co-Author Distance Author ID: yuan.guangwei Published as: Yuan, Guangwei; Yuan, Guang-wei; Yuan, Guang-Wei; Yuan, Guang Wei; Yuan, GuangWei more...less Documents Indexed: 181 Publications since 1990 Co-Authors: 77 Co-Authors with 161 Joint Publications 2,988 Co-Co-Authors all top 5 Co-Authors 11 single-authored 52 Sheng, Zhiqiang 25 Shen, Longjun 21 Zhou, Yulin 14 Yue, Jingyan 13 Shen, Zhijun 12 Hang, Xudeng 9 Cui, Xia 8 Guo, Boling 8 Li, Yonghai 8 Wang, Shuai 8 Zhu, Shaohong 7 Yao, Yanzhong 7 Yu, Yunlong 6 Yan, Wei 6 Zhou, Huifang 5 Zhao, Fei 4 Chen, Xingding 4 Pan, Kejia 4 Wu, Xiaoxin 4 Zhang, Qi 3 Cao, Fujun 3 Chang, Lina 3 Gao, Yanni 3 Jia, Dongxu 3 Lai, Xiang 3 Lv, Junliang 3 Sun, Weiwei 3 Yang, Hongtao 3 Yang, Xuehua 2 Chen, Wen 2 Du, Qiang 2 Espinosa, Horacio D. 2 Han, Yongqian 2 Hong, Zhenying 2 Lan, Bin 2 Li, Jin 2 Liu, Zuhan 2 Wang, Jiangfu 2 Xu, Jinjing 2 Yang, Tianjie 2 Yu, Boyang 2 Yue, Xiaoqiang 2 Zhang, Haixiang 2 Zhang, Yanmei 2 Zhu, Liyong 1 Ahmadabadi, Majid Nili 1 Arrieta, V. 1 Brar, N. S. 1 Chen, Yanli 1 Dai, Zihuan 1 Dwivedi, Sunil K. 1 Fu, Xuedong 1 Gao, Hongjun 1 Gao, Yulong 1 Gao, Zhiming 1 Gong, Yujie 1 Haller, George 1 He, Limin 1 Jiang, Lishang 1 Jin, Shi 1 Kong, Wang 1 Li, Ang 1 Lin, Lei 1 Liu, Menghuan 1 Liu, T. I. 1 Liu, Xingping 1 Liu, Xuezhe 1 Mo, Zeyao 1 Ren, Jian 1 Ren, Zhengyong 1 Shi, Xueting 1 Shu, Shi 1 Song, Jie 1 Wu, Dan 1 Wu, Jiming 1 Xu, Yueping 1 Xu, Yufeng 1 Yang, Rong 1 Yang, Xu 1 Yi, Fahuai 1 Yin, Li 1 Yu, Yao 1 Yuan, Dongfang 1 Zavattieri, Pablo D. 1 Zeng, Qinghong 1 Zhao, Qiang 1 Zuo, Fengli 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 6 Applied Mathematics and Computation 5 Computers & Mathematics with Applications 5 Journal of Computational and Applied Mathematics 5 Advances in Mathematics 5 Applied Numerical Mathematics 5 Numerical Methods for Partial Differential Equations 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 International Journal of Numerical Analysis and Modeling 3 Advances in Applied Mathematics and Mechanics 2 International Journal for Numerical Methods in Fluids 2 International Journal of Solids and Structures 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 Applicable Analysis 1 Biological Cybernetics 1 IMA Journal of Applied Mathematics 1 Journal of the Franklin Institute 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 Physica D 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 1 Journal of Linear and Topological Algebra all top 5 Fields 148 Numerical analysis (65-XX) 112 Partial differential equations (35-XX) 27 Fluid mechanics (76-XX) 10 Statistical mechanics, structure of matter (82-XX) 7 Mechanics of deformable solids (74-XX) 5 Integral equations (45-XX) 5 Biology and other natural sciences (92-XX) 3 Operator theory (47-XX) 3 Classical thermodynamics, heat transfer (80-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 119 Publications have been cited 1,001 times in 440 Documents Cited by ▼ Year ▼ Lagrangian coherent structures and mixing in two-dimensional turbulence. Zbl 0970.76043Haller, G.; Yuan, G. 127 2000 Monotone finite volume schemes for diffusion equations on polygonal meshes. Zbl 1147.65069Yuan, Guangwei; Sheng, Zhiqiang 103 2008 The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes. Zbl 1218.65120Sheng, Zhiqiang; Yuan, Guangwei 60 2011 A nine point scheme for the approximation of diffusion operators on distorted quadrilateral meshes. Zbl 1167.65049Sheng, Zhiqiang; Yuan, Guangwei 48 2008 Monotone finite volume schemes of nonequilibrium radiation diffusion equations on distorted meshes. Zbl 1195.65115Sheng, Zhiqiang; Yue, Jingyan; Yuan, Guangwei 44 2009 An improved monotone finite volume scheme for diffusion equation on polygonal meshes. Zbl 1242.65219Sheng, Zhiqiang; Yuan, Guangwei 31 2012 Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation. Zbl 1121.65096Sheng, Zhiqiang; Yuan, Guangwei; Hang, Xudeng 31 2007 Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes. Zbl 1187.65119Wu, Jiming; Dai, Zihuan; Gao, Zhiming; Yuan, Guangwei 31 2010 Global smooth solution for the Klein-Gordon-Zakharov equations. Zbl 0845.35107Guo, Boling; Yuan, Guangwei 28 1995 A robust HLLC-type Riemann solver for strong shock. Zbl 1351.76043Shen, Zhijun; Yan, Wei; Yuan, Guangwei 22 2016 A new nonlinear finite volume scheme preserving positivity for diffusion equations. Zbl 1349.65582Sheng, Zhiqiang; Yuan, Guangwei 21 2016 The unconditional stability of parallel difference schemes with second order convergence for nonlinear parabolic system. Zbl 1142.65408Yuan, Guangwei; Sheng, Zhiqiang; Hang, Xudeng 20 2007 Boundary knot method for Poisson equations. Zbl 1182.74250Chen, W.; Shen, L. J.; Shen, Z. J.; Yuan, G. W. 20 2005 A monotone finite volume scheme for advection-diffusion equations on distorted meshes. Zbl 1253.76069Wang, Shuai; Yuan, Guangwei; Li, Yonghai; Sheng, Zhiqiang 18 2012 Analysis of accuracy of a finite volume scheme for diffusion equations on distorted meshes. Zbl 1119.65084Yuan, Guangwei; Sheng, Zhiqiang 17 2007 Discrete maximum principle based on repair technique for diamond type scheme of diffusion problems. Zbl 1412.65183Wang, Shuai; Yuan, Guangwei; Li, Yonghai; Sheng, Zhiqiang 17 2012 An explicit-implicit predictor-corrector domain decomposition method for time dependent multi-dimensional convection diffusion equations. Zbl 1212.65369Zhu, Liyong; Yuan, Guangwei; Du, Qiang 17 2009 Existence and uniqueness of the \(C^ \alpha\) solution for the thermistor problem with mixed boundary value. Zbl 0808.35064Yuan, Guangwei; Liu, Zuhan 16 1994 Enforcing positivity with conservation for nine-point scheme of nonlinear diffusion equations. Zbl 1253.65134Yao, Yanzhong; Yuan, Guangwei 16 2012 Existence of solution of a finite volume scheme preserving maximum principle for diffusion equations. Zbl 1384.65078Yuan, Guangwei; Yu, Yunlong 15 2018 Construction of nonlinear weighted method for finite volume schemes preserving maximum principle. Zbl 1453.65391Sheng, Zhiqiang; Yuan, Guangwei 15 2018 Regularity of solutions of the thermistor problem. Zbl 0843.35046Yuan, Guangwei 15 1994 Picard-Newton iterative method with time step control for multimaterial non-equilibrium radiation diffusion problem. Zbl 1373.76205Yue, Jingyan; Yuan, Guangwei 15 2011 A stability analysis of hybrid schemes to cure shock instability. Zbl 1373.76144Shen, Zhijun; Yan, Wei; Yuan, Guangwei 15 2014 Cell-centered finite volume methods with flexible stencils for diffusion equations on general nonconforming meshes. Zbl 1227.76042Chang, Lina; Yuan, Guangwei 15 2009 Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional parabolic systems. Zbl 0942.65097Yuan, Guangwei; Shen, Longjun; Zhou, Yulin 14 1999 Alternating group explicit method for the dispersive equation. Zbl 0960.65085Zhu, Shaohong; Yuan, Guangwei; Shen, Longjun 12 2000 Acceleration methods of nonlinear iteration for nonlinear parabolic equations. Zbl 1111.65080Yuan, Guangwei; Hang, Xudeng 11 2006 A cell-centered nonlinear finite volume scheme preserving fully positivity for diffusion equation. Zbl 1371.65114Sheng, Zhiqiang; Yuan, Guangwei 11 2016 A finite volume element scheme with a monotonicity correction for anisotropic diffusion problems on general quadrilateral meshes. Zbl 07504690Gao, Yanni; Yuan, Guangwei; Wang, Shuai; Hang, Xudeng 10 2020 Monotone finite volume scheme for three dimensional diffusion equation on tetrahedral meshes. Zbl 1388.65081Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei 10 2017 Analysis and construction of cell-centered finite volume scheme for diffusion equations on distorted meshes. Zbl 1229.76065Zhao, Qiang; Yuan, Guangwei 10 2009 A robust and contact resolving Riemann solver on unstructured mesh, part I, Euler method. Zbl 1349.76386Shen, Zhijun; Yan, Wei; Yuan, Guangwei 9 2014 The finite volume scheme preserving maximum principle for two-dimensional time-fractional Fokker-Planck equations on distorted meshes. Zbl 07111520Yang, Xuehua; Zhang, Haixiang; Zhang, Qi; Yuan, Guangwei; Sheng, Zhiqiang 9 2019 Convergence and stability of explicit/implicit schemes for parabolic equations with discontinuous coefficients. Zbl 1075.65116Zhu, Shaohong; Yuan, Guangwei; Sun, Weiwei 9 2004 A conservative domain decomposition procedure for nonlinear diffusion problems on arbitrary quadrilateral grids. Zbl 1230.65100Yuan, Guangwei; Yao, Yanzhong; Yin, Li 9 2011 General solutions and fundamental solutions of varied orders to the vibrational thin, the Berger, and the Winkler plates. Zbl 1182.74059Chen, Wen; Shen, Z. J.; Shen, L. J.; Yuan, G. W. 9 2005 A robust and contact resolving Riemann solver on unstructured mesh, part II, ALE method. Zbl 1349.76387Shen, Zhijun; Yan, Wei; Yuan, Guangwei 8 2014 A pyramid scheme for three-dimensional diffusion equations on polyhedral meshes. Zbl 1380.65336Wang, Shuai; Hang, Xudeng; Yuan, Guangwei 8 2017 An efficient explicit/implicit domain decomposition method for convection-diffusion equations. Zbl 1196.65160Zhu, Liyong; Yuan, Guangwei; Du, Qiang 8 2010 Domain decomposition algorithm based on the group explicit formula for the heat equation. Zbl 1079.65099Yuan, G.; Zhu, S.; Shen, L. 8 2005 A positivity-preserving pyramid scheme for anisotropic diffusion problems on general hexahedral meshes with nonplanar cell faces. Zbl 1415.76483Wang, Shuai; Hang, Xudeng; Yuan, Guangwei 8 2018 A positivity-preserving finite volume scheme for diffusion equations on polyhedral meshes. Zbl 1340.76055Wang, Shuai; Hang, Xudeng; Yuan, Guangwei 7 2015 Parallel difference schemes with interface extrapolation terms for quasi-linear parabolic systems. Zbl 1130.65094Yuan, Guang-Wei; Hang, Xu-Deng; Sheng, Zhi-Qiang 7 2007 Nonlinear scheme with high accuracy for nonlinear coupled parabolic-hyperbolic system. Zbl 1218.65082Cui, Xia; Yue, Jing-Yan; Yuan, Guang-Wei 7 2011 A finite volume scheme for diffusion equations on distorted quadrilateral meshes. Zbl 1375.82100Sheng, Zhiqiang; Yuan, Guangwei 7 2008 Numerical analysis and iteration acceleration of a fully implicit scheme for nonlinear diffusion problem with second-order time evolution. Zbl 1339.65107Cui, Xia; Yuan, Guang-wei; Yue, Jing-yan 7 2016 A finite volume scheme preserving maximum principle for the system of radiation diffusion equations with three-temperature. Zbl 1426.65137Yu, Yunlong; Chen, Xingding; Yuan, Guangwei 7 2019 Stability and convergence of the explicit-implicit conservative domain decomposition procedure for parabolic problems. Zbl 1067.65091Yuan, Guangwei; Shen, Longjun 7 2004 Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems. Zbl 1023.65096Yuan, Guangwei; Shen, Longjun; Zhou, Yulin 7 2001 An improvement of the two-point flux approximation scheme on polygonal meshes. Zbl 1452.65305Chang, Lina; Sheng, Zhiqiang; Yuan, Guangwei 6 2019 A conservative parallel difference method for 2-dimension diffusion equation. Zbl 1381.65066Jia, Dongxu; Sheng, Zhiqiang; Yuan, Guangwei 6 2018 Nonnegativity-preserving repair techniques for the finite element solutions of degenerate nonlinear parabolic problems. Zbl 1438.65239Lv, Junliang; Yuan, Guangwei; Yue, Jingyan 6 2018 Cauchy problem for the Ginzburg-Landau equation for the superconductivity model. Zbl 0894.35024Guo, Boling; Yuan, Guangwei 6 1997 An extremum-preserving iterative procedure for the imperfect interface problem. Zbl 1473.65304Jia, Dongxu; Sheng, Zhiqiang; Yuan, Guangwei 5 2019 A cell-centered Lagrangian scheme in two-dimensional cylindrical geometry. Zbl 1152.76458Shen, ZhiJun; Yuan, GuangWei; Yue, JingYan; Liu, XueZhe 5 2008 Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes. Zbl 1442.65210Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei 5 2019 A finite volume scheme for three-dimensional diffusion equations. Zbl 1388.65080Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei 5 2015 A conservative parallel iteration scheme for nonlinear diffusion equations on unstructured meshes. Zbl 1388.65083Yu, Yunlong; Yao, Yanzhong; Yuan, Guangwei; Chen, Xingding 5 2016 General difference schemes with intrinsic parallelism for nonlinear parabolic systems. Zbl 0885.65097Zhou, Yulin; Yuan, Guangwei 5 1997 A numerical investigation of penetration in multilayered material/structure systems. Zbl 0939.74576Espinosa, H. D.; Dwivedi, S.; Zavattieri, P. D.; Yuan, G. 5 1998 A new interpolation for auxiliary unknowns of the monotone finite volume scheme for 3D diffusion equations. Zbl 1473.65151Zhao, Fei; Lai, Xiang; Yuan, Guangwei; Sheng, Zhiqiang 4 2020 A nonlinear finite volume scheme preserving maximum principle for diffusion equations. Zbl 1473.65265Xu, Jinjing; Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei 4 2021 A nonlinear convex combination in the construction of finite volume scheme satisfying maximum principle. Zbl 1442.65328Sheng, Zhiqiang; Yuan, Guangwei; Yue, Jingyan 4 2020 A monotone finite volume scheme for diffusion equations on general non-conforming meshes. Zbl 1426.65160Zhang, Qi; Sheng, Zhiqiang; Yuan, Guangwei 4 2017 On the suitable weak solutions to the Boussinesq equations in a bounded domain. Zbl 0862.35088Guo, Boling; Yuan, Guangwei 4 1996 Finite difference method of first boundary problem for quasilinear parabolic systems. IV: Convergence of iteration. Zbl 0883.65070Zhou, Yulin; Shen, Longjun; Yuan, Guangwei 4 1997 Stability condition for difference schemes for parabolic systems. Zbl 0970.65098Sun, Weiwei; Yuan, Guangwei 4 2000 Asymptotic-preserving discrete schemes for non-equilibrium radiation diffusion problem in spherical and cylindrical symmetrical geometries. Zbl 1488.65334Cui, Xia; Shen, Zhi-Jun; Yuan, Guang-Wei 3 2018 Positivity preserving finite volume scheme for the Nagumo-type equations on distorted meshes. Zbl 1427.65213Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei 3 2018 Local existence of bounded solutions to the degenerate Stefan problem with Joule’s heating. Zbl 0846.35072Yuan, Guangwei 3 1996 A finite volume method preserving maximum principle for the diffusion equations with imperfect interface. Zbl 1451.65124Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei 3 2020 Monotone finite volume schemes for diffusion equation with imperfect interface on distorted meshes. Zbl 1397.65229Cao, Fujun; Sheng, Zhiqiang; Yuan, Guangwei 3 2018 Iterative algorithms for impressed cathodic protection systems. Zbl 1100.74650Sun, W.; Yuan, Guangwei; Ren, Y. 3 2000 Difference schemes with intrinsic parallelism for dispersive equation. Zbl 1057.65057Zhu, Shaohong; Yuan, Guangwei 3 2003 Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients. Zbl 1435.65139Wu, Dan; Yue, Jingyan; Yuan, Guangwei; Lv, Junliang 3 2019 Iterative acceleration methods with second-order time accuracy for nonlinear diffusion equations. Zbl 1436.65117Zhao, Fei; Cui, Xia; Yuan, Guangwei 3 2020 The computational method for nonlinear parabolic equation. Zbl 1488.65308Yuan, Guangwei; Yue, Jingyan; Sheng, Zhiqiang; Shen, Longjun 3 2013 Asymptotic analysis of discrete schemes for non-equilibrium radiation diffusion. Zbl 1349.65368Cui, Xia; Yuan, Guang-wei; Shen, Zhi-jun 2 2016 A conservative gradient discretization method for parabolic equations. Zbl 1488.65362Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei 2 2021 Calculating the vertex unknowns of nine point scheme on quadrilateral meshes for diffusion equation. Zbl 1161.65070Yuan, GuangWei; Sheng, ZhiQiang 2 2008 A domain decomposition method for a two-scale transport equation with energy flux conserved at the interface. Zbl 1146.65086Jin, Shi; Yang, Xu; Yuan, Guangwei 2 2008 Monotonicity correction for second order element finite volume methods of anisotropic diffusion problems. Zbl 07524764Yang, Hongtao; Yu, Boyang; Li, Yonghai; Yuan, Guangwei 2 2022 Finite difference method of first boundary problem for quasilinear parabolic systems. III: Stability. Zbl 0857.65089Zhou, Yulin; Shen, Longjun; Yuan, Guangwei 2 1996 Some practical difference schemes with intrinsic parallelism for nonlinear parabolic systems. Zbl 0934.65092Zhou, Yulin; Shen, Longjun; Yuan, Guangwei 2 1997 Enhanced ballistic performance of confined multi-layered ceramic targets against long rod penetrators through interface defeat. Zbl 1090.74501Espinosa, H. D.; Brar, N. S.; Yuan, G.; Xu, Y.; Arrieta, V. 2 2000 Convergence of \(P_ N\) approximation for the neutron transport equation with reflective boundary condition. Zbl 1045.82504Yuan, Guang-wei 2 2000 Initial boundary value problems for Boussinesq equations with \(L^p\) data. Zbl 1062.35502Guo, Boling; Yuan, Guangwei 2 1996 Two nonlinear positivity-preserving finite volume schemes for three-dimensional heat conduction equations on general polyhedral meshes. Zbl 1474.65315Liu, Menghuan; Shu, Shi; Yuan, Guangwei; Yue, Xiaoqiang 2 2021 The finite volume scheme preserving maximum principle for diffusion equations with discontinuous coefficient. Zbl 1437.65168Yu, Yao; Yuan, Guangwei; Sheng, Zhiqiang; Li, Yonghai 2 2020 Adaptive bilinear element finite volume methods for second-order elliptic problems on nonmatching grids. Zbl 1327.65205Chen, Yanli; Li, Yonghai; Sheng, Zhiqiang; Yuan, Guangwei 2 2015 Parallel difference schemes for heat conduction equations. Zbl 1047.65075Yuan, Guangwei; Zuo, Fengli 2 2003 The uniqueness and stability for difference solutions with nonuniform meshes for nonlinear parabolic systems. Zbl 1495.65156Yuan, Guang Wei 2 2000 Analysis of the nonlinear scheme preserving the maximum principle for the anisotropic diffusion equation on distorted meshes. Zbl 1500.65093Sheng, Zhiqiang; Yuan, Guangwei 2 2022 Diffusion schemes satisfying extremum principle on nonorthogonal meshes. Zbl 1513.65451Yuan, Guangwei 2 2021 Extremum-preserving correction of the nine-point scheme for diffusion equation on distorted meshes. Zbl 1513.65450Kong, Wang; Hong, Zhenying; Yuan, Guangwei; Sheng, Zhiqiang 2 2023 A conservative enforcing positivity-preserving algorithm for diffusion scheme on general meshes. Zbl 1362.65090Cao, Fu Jun; Yao, Yan Zhong; Yu, Yun Long; Yuan, Guang Wei 1 2016 A parallel finite volume scheme preserving positivity for diffusion equation on distorted meshes. Zbl 1383.65100Sheng, Zhiqiang; Yue, Jingyan; Yuan, Guangwei 1 2017 Parallel iterative difference schemes based on prediction techniques for \(S_n\) transport method. Zbl 1190.82039Yuan, Guangwei; Hang, Xudeng 1 2007 Existence of a weak solution for the phase change problem with Joule’s heating. Zbl 0832.35079Yuan, Guangwei 1 1994 Extremum-preserving correction of the nine-point scheme for diffusion equation on distorted meshes. Zbl 1513.65450Kong, Wang; Hong, Zhenying; Yuan, Guangwei; Sheng, Zhiqiang 2 2023 Monotonicity correction for second order element finite volume methods of anisotropic diffusion problems. Zbl 07524764Yang, Hongtao; Yu, Boyang; Li, Yonghai; Yuan, Guangwei 2 2022 Analysis of the nonlinear scheme preserving the maximum principle for the anisotropic diffusion equation on distorted meshes. Zbl 1500.65093Sheng, Zhiqiang; Yuan, Guangwei 2 2022 Extrapolation cascadic multigrid method for cell-centered FV discretization of diffusion equations with strongly discontinuous and anisotropic coefficients. Zbl 1486.65281Pan, Kejia; Wu, Xiaoxin; Yu, Yunlong; Sheng, Zhiqiang; Yuan, Guangwei 1 2022 A new finite volume scheme with gradient transfer method for solving diffusion problems on the distorted hexahedral meshes. Zbl 1484.65287Pan, Kejia; Li, Jin; Wu, Xiaoxin; Yuan, Guangwei; Yue, Xiaoqiang 1 2022 A finite volume scheme preserving the invariant region property for the coupled system of FitzHugh-Nagumo equations on distorted meshes. Zbl 07546676Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei 1 2022 The corrected finite volume element methods for diffusion equations satisfying discrete extremum principle. Zbl 1505.65286Li, Ang; Yang, Hongtao; Li, Yonghai; Yuan, Guangwei 1 2022 A nonlinear finite volume scheme preserving maximum principle for diffusion equations. Zbl 1473.65265Xu, Jinjing; Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei 4 2021 A conservative gradient discretization method for parabolic equations. Zbl 1488.65362Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei 2 2021 Two nonlinear positivity-preserving finite volume schemes for three-dimensional heat conduction equations on general polyhedral meshes. Zbl 1474.65315Liu, Menghuan; Shu, Shi; Yuan, Guangwei; Yue, Xiaoqiang 2 2021 Diffusion schemes satisfying extremum principle on nonorthogonal meshes. Zbl 1513.65451Yuan, Guangwei 2 2021 A cell-centered ALE method with HLLC-2D Riemann solver in 2D cylindrical geometry. Zbl 1499.76075Ren, Jian; Shen, Zhijun; Yan, Wei; Yuan, Guangwei 1 2021 Analysis on a numerical scheme with second-order time accuracy for nonlinear diffusion equations. Zbl 1499.65383Cui, Xia; Yuan, Guangwei; Zhao, Fei 1 2021 Positivity and extremum preserving of nine point schemes for diffusion equations. Zbl 1488.65307Yuan, Guangwei 1 2021 A finite volume element scheme with a monotonicity correction for anisotropic diffusion problems on general quadrilateral meshes. Zbl 07504690Gao, Yanni; Yuan, Guangwei; Wang, Shuai; Hang, Xudeng 10 2020 A new interpolation for auxiliary unknowns of the monotone finite volume scheme for 3D diffusion equations. Zbl 1473.65151Zhao, Fei; Lai, Xiang; Yuan, Guangwei; Sheng, Zhiqiang 4 2020 A nonlinear convex combination in the construction of finite volume scheme satisfying maximum principle. Zbl 1442.65328Sheng, Zhiqiang; Yuan, Guangwei; Yue, Jingyan 4 2020 A finite volume method preserving maximum principle for the diffusion equations with imperfect interface. Zbl 1451.65124Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei 3 2020 Iterative acceleration methods with second-order time accuracy for nonlinear diffusion equations. Zbl 1436.65117Zhao, Fei; Cui, Xia; Yuan, Guangwei 3 2020 The finite volume scheme preserving maximum principle for diffusion equations with discontinuous coefficient. Zbl 1437.65168Yu, Yao; Yuan, Guangwei; Sheng, Zhiqiang; Li, Yonghai 2 2020 Nonlinear iteration acceleration solution for equilibrium radiation diffusion equation. Zbl 1443.65152Zhang, Yanmei; Cui, Xia; Yuan, Guangwei 1 2020 The finite volume scheme preserving maximum principle for two-dimensional time-fractional Fokker-Planck equations on distorted meshes. Zbl 07111520Yang, Xuehua; Zhang, Haixiang; Zhang, Qi; Yuan, Guangwei; Sheng, Zhiqiang 9 2019 A finite volume scheme preserving maximum principle for the system of radiation diffusion equations with three-temperature. Zbl 1426.65137Yu, Yunlong; Chen, Xingding; Yuan, Guangwei 7 2019 An improvement of the two-point flux approximation scheme on polygonal meshes. Zbl 1452.65305Chang, Lina; Sheng, Zhiqiang; Yuan, Guangwei 6 2019 An extremum-preserving iterative procedure for the imperfect interface problem. Zbl 1473.65304Jia, Dongxu; Sheng, Zhiqiang; Yuan, Guangwei 5 2019 Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes. Zbl 1442.65210Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei 5 2019 Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients. Zbl 1435.65139Wu, Dan; Yue, Jingyan; Yuan, Guangwei; Lv, Junliang 3 2019 Existence of solutions of a positive finite volume scheme for unsteady advection-diffusion equations. Zbl 1449.65221Zhang, Yanmei; Lan, Bin; Sheng, Zhiqiang; Yuan, Guangwei 1 2019 Existence of solution of a finite volume scheme preserving maximum principle for diffusion equations. Zbl 1384.65078Yuan, Guangwei; Yu, Yunlong 15 2018 Construction of nonlinear weighted method for finite volume schemes preserving maximum principle. Zbl 1453.65391Sheng, Zhiqiang; Yuan, Guangwei 15 2018 A positivity-preserving pyramid scheme for anisotropic diffusion problems on general hexahedral meshes with nonplanar cell faces. Zbl 1415.76483Wang, Shuai; Hang, Xudeng; Yuan, Guangwei 8 2018 A conservative parallel difference method for 2-dimension diffusion equation. Zbl 1381.65066Jia, Dongxu; Sheng, Zhiqiang; Yuan, Guangwei 6 2018 Nonnegativity-preserving repair techniques for the finite element solutions of degenerate nonlinear parabolic problems. Zbl 1438.65239Lv, Junliang; Yuan, Guangwei; Yue, Jingyan 6 2018 Asymptotic-preserving discrete schemes for non-equilibrium radiation diffusion problem in spherical and cylindrical symmetrical geometries. Zbl 1488.65334Cui, Xia; Shen, Zhi-Jun; Yuan, Guang-Wei 3 2018 Positivity preserving finite volume scheme for the Nagumo-type equations on distorted meshes. Zbl 1427.65213Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei 3 2018 Monotone finite volume schemes for diffusion equation with imperfect interface on distorted meshes. Zbl 1397.65229Cao, Fujun; Sheng, Zhiqiang; Yuan, Guangwei 3 2018 Monotone finite volume scheme for three dimensional diffusion equation on tetrahedral meshes. Zbl 1388.65081Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei 10 2017 A pyramid scheme for three-dimensional diffusion equations on polyhedral meshes. Zbl 1380.65336Wang, Shuai; Hang, Xudeng; Yuan, Guangwei 8 2017 A monotone finite volume scheme for diffusion equations on general non-conforming meshes. Zbl 1426.65160Zhang, Qi; Sheng, Zhiqiang; Yuan, Guangwei 4 2017 A parallel finite volume scheme preserving positivity for diffusion equation on distorted meshes. Zbl 1383.65100Sheng, Zhiqiang; Yue, Jingyan; Yuan, Guangwei 1 2017 A robust HLLC-type Riemann solver for strong shock. Zbl 1351.76043Shen, Zhijun; Yan, Wei; Yuan, Guangwei 22 2016 A new nonlinear finite volume scheme preserving positivity for diffusion equations. Zbl 1349.65582Sheng, Zhiqiang; Yuan, Guangwei 21 2016 A cell-centered nonlinear finite volume scheme preserving fully positivity for diffusion equation. Zbl 1371.65114Sheng, Zhiqiang; Yuan, Guangwei 11 2016 Numerical analysis and iteration acceleration of a fully implicit scheme for nonlinear diffusion problem with second-order time evolution. Zbl 1339.65107Cui, Xia; Yuan, Guang-wei; Yue, Jing-yan 7 2016 A conservative parallel iteration scheme for nonlinear diffusion equations on unstructured meshes. Zbl 1388.65083Yu, Yunlong; Yao, Yanzhong; Yuan, Guangwei; Chen, Xingding 5 2016 Asymptotic analysis of discrete schemes for non-equilibrium radiation diffusion. Zbl 1349.65368Cui, Xia; Yuan, Guang-wei; Shen, Zhi-jun 2 2016 A conservative enforcing positivity-preserving algorithm for diffusion scheme on general meshes. Zbl 1362.65090Cao, 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 1340.76055Wang, Shuai; Hang, Xudeng; Yuan, Guangwei 7 2015 A finite volume scheme for three-dimensional diffusion equations. Zbl 1388.65080Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei 5 2015 Adaptive bilinear element finite volume methods for second-order elliptic problems on nonmatching grids. Zbl 1327.65205Chen, 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 1388.65144Chen, Xingding; Yuan, Guangwei 1 2015 A stability analysis of hybrid schemes to cure shock instability. Zbl 1373.76144Shen, Zhijun; Yan, Wei; Yuan, Guangwei 15 2014 A robust and contact resolving Riemann solver on unstructured mesh, part I, Euler method. Zbl 1349.76386Shen, Zhijun; Yan, Wei; Yuan, Guangwei 9 2014 A robust and contact resolving Riemann solver on unstructured mesh, part II, ALE method. Zbl 1349.76387Shen, Zhijun; Yan, Wei; Yuan, Guangwei 8 2014 The computational method for nonlinear parabolic equation. Zbl 1488.65308Yuan, Guangwei; Yue, Jingyan; Sheng, Zhiqiang; Shen, Longjun 3 2013 An improved monotone finite volume scheme for diffusion equation on polygonal meshes. Zbl 1242.65219Sheng, Zhiqiang; Yuan, Guangwei 31 2012 A monotone finite volume scheme for advection-diffusion equations on distorted meshes. Zbl 1253.76069Wang, Shuai; Yuan, Guangwei; Li, Yonghai; Sheng, Zhiqiang 18 2012 Discrete maximum principle based on repair technique for diamond type scheme of diffusion problems. Zbl 1412.65183Wang, Shuai; Yuan, Guangwei; Li, Yonghai; Sheng, Zhiqiang 17 2012 Enforcing positivity with conservation for nine-point scheme of nonlinear diffusion equations. Zbl 1253.65134Yao, Yanzhong; Yuan, Guangwei 16 2012 The finite volume scheme preserving the positivity for diffusion equation. Zbl 1488.65358Yuan, Guangwei; Sheng, Zhiqiang; Yue, Jingyan 1 2012 The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes. Zbl 1218.65120Sheng, Zhiqiang; Yuan, Guangwei 60 2011 Picard-Newton iterative method with time step control for multimaterial non-equilibrium radiation diffusion problem. Zbl 1373.76205Yue, Jingyan; Yuan, Guangwei 15 2011 A conservative domain decomposition procedure for nonlinear diffusion problems on arbitrary quadrilateral grids. Zbl 1230.65100Yuan, Guangwei; Yao, Yanzhong; Yin, Li 9 2011 Nonlinear scheme with high accuracy for nonlinear coupled parabolic-hyperbolic system. Zbl 1218.65082Cui, Xia; Yue, Jing-Yan; Yuan, Guang-Wei 7 2011 An efficient nonlinear iteration scheme for nonlinear parabolic-hyperbolic system. Zbl 1243.65104Cui, Xia; Yuan, Guang-Wei; Yue, Jing-Yan 1 2011 Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes. Zbl 1187.65119Wu, Jiming; Dai, Zihuan; Gao, Zhiming; Yuan, Guangwei 31 2010 An efficient explicit/implicit domain decomposition method for convection-diffusion equations. Zbl 1196.65160Zhu, Liyong; Yuan, Guangwei; Du, Qiang 8 2010 Monotone finite volume schemes of nonequilibrium radiation diffusion equations on distorted meshes. Zbl 1195.65115Sheng, Zhiqiang; Yue, Jingyan; Yuan, Guangwei 44 2009 An explicit-implicit predictor-corrector domain decomposition method for time dependent multi-dimensional convection diffusion equations. Zbl 1212.65369Zhu, Liyong; Yuan, Guangwei; Du, Qiang 17 2009 Cell-centered finite volume methods with flexible stencils for diffusion equations on general nonconforming meshes. Zbl 1227.76042Chang, Lina; Yuan, Guangwei 15 2009 Analysis and construction of cell-centered finite volume scheme for diffusion equations on distorted meshes. Zbl 1229.76065Zhao, Qiang; Yuan, Guangwei 10 2009 Monotone finite volume schemes for diffusion equations on polygonal meshes. Zbl 1147.65069Yuan, Guangwei; Sheng, Zhiqiang 103 2008 A nine point scheme for the approximation of diffusion operators on distorted quadrilateral meshes. Zbl 1167.65049Sheng, Zhiqiang; Yuan, Guangwei 48 2008 A finite volume scheme for diffusion equations on distorted quadrilateral meshes. Zbl 1375.82100Sheng, Zhiqiang; Yuan, Guangwei 7 2008 A cell-centered Lagrangian scheme in two-dimensional cylindrical geometry. Zbl 1152.76458Shen, ZhiJun; Yuan, GuangWei; Yue, JingYan; Liu, XueZhe 5 2008 Calculating the vertex unknowns of nine point scheme on quadrilateral meshes for diffusion equation. Zbl 1161.65070Yuan, GuangWei; Sheng, ZhiQiang 2 2008 A domain decomposition method for a two-scale transport equation with energy flux conserved at the interface. Zbl 1146.65086Jin, Shi; Yang, Xu; Yuan, Guangwei 2 2008 Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation. Zbl 1121.65096Sheng, Zhiqiang; Yuan, Guangwei; Hang, Xudeng 31 2007 The unconditional stability of parallel difference schemes with second order convergence for nonlinear parabolic system. Zbl 1142.65408Yuan, Guangwei; Sheng, Zhiqiang; Hang, Xudeng 20 2007 Analysis of accuracy of a finite volume scheme for diffusion equations on distorted meshes. Zbl 1119.65084Yuan, Guangwei; Sheng, Zhiqiang 17 2007 Parallel difference schemes with interface extrapolation terms for quasi-linear parabolic systems. Zbl 1130.65094Yuan, Guang-Wei; Hang, Xu-Deng; Sheng, Zhi-Qiang 7 2007 Parallel iterative difference schemes based on prediction techniques for \(S_n\) transport method. Zbl 1190.82039Yuan, Guangwei; Hang, Xudeng 1 2007 Acceleration methods of nonlinear iteration for nonlinear parabolic equations. Zbl 1111.65080Yuan, Guangwei; Hang, Xudeng 11 2006 Boundary knot method for Poisson equations. Zbl 1182.74250Chen, W.; Shen, L. J.; Shen, Z. J.; Yuan, G. W. 20 2005 General solutions and fundamental solutions of varied orders to the vibrational thin, the Berger, and the Winkler plates. Zbl 1182.74059Chen, Wen; Shen, Z. J.; Shen, L. J.; Yuan, G. W. 9 2005 Domain decomposition algorithm based on the group explicit formula for the heat equation. Zbl 1079.65099Yuan, G.; Zhu, S.; Shen, L. 8 2005 Convergence of inner iterations scheme of the discrete ordinate method in spherical geometry. Zbl 1078.65127Shen, Zhijun; Yuan, Guangwei; Shen, Longjun 1 2005 Convergence and stability of explicit/implicit schemes for parabolic equations with discontinuous coefficients. Zbl 1075.65116Zhu, Shaohong; Yuan, Guangwei; Sun, Weiwei 9 2004 Stability and convergence of the explicit-implicit conservative domain decomposition procedure for parabolic problems. Zbl 1067.65091Yuan, Guangwei; Shen, Longjun 7 2004 Unconditional stable difference methods with intrinsic parallelism for semilinear parabolic systems of divergence type. Zbl 1054.65100Zhou, Yulin; Shen, Longjun; Yuan, Guangwei 1 2004 Difference schemes with intrinsic parallelism for dispersive equation. Zbl 1057.65057Zhu, Shaohong; Yuan, Guangwei 3 2003 Parallel difference schemes for heat conduction equations. Zbl 1047.65075Yuan, Guangwei; Zuo, Fengli 2 2003 Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems. Zbl 1023.65096Yuan, Guangwei; Shen, Longjun; Zhou, Yulin 7 2001 Lagrangian coherent structures and mixing in two-dimensional turbulence. Zbl 0970.76043Haller, G.; Yuan, G. 127 2000 Alternating group explicit method for the dispersive equation. Zbl 0960.65085Zhu, Shaohong; Yuan, Guangwei; Shen, Longjun 12 2000 Stability condition for difference schemes for parabolic systems. Zbl 0970.65098Sun, Weiwei; Yuan, Guangwei 4 2000 Iterative algorithms for impressed cathodic protection systems. Zbl 1100.74650Sun, W.; Yuan, Guangwei; Ren, Y. 3 2000 Enhanced ballistic performance of confined multi-layered ceramic targets against long rod penetrators through interface defeat. Zbl 1090.74501Espinosa, H. D.; Brar, N. S.; Yuan, G.; Xu, Y.; Arrieta, V. 2 2000 Convergence of \(P_ N\) approximation for the neutron transport equation with reflective boundary condition. Zbl 1045.82504Yuan, Guang-wei 2 2000 The uniqueness and stability for difference solutions with nonuniform meshes for nonlinear parabolic systems. Zbl 1495.65156Yuan, Guang Wei 2 2000 ...and 19 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 623 Authors 78 Yuan, Guangwei 37 Sheng, Zhiqiang 21 Wu, Jiming 13 Gao, Zhiming 12 Cui, Xia 11 Shen, Zhijun 11 Yang, Xiaozhong 11 Zhou, Zhongguo 8 Liang, Dong 8 Vassilevski, Yuri V. 8 Wu, Lifei 7 Hang, Xudeng 7 Pan, Kejia 7 Su, Shuai 7 Sun, Weiwei 7 Wang, Yihong 7 Zhou, Huifang 7 Zhu, Shaohong 6 Hermeline, François 6 Li, Yonghai 6 Pušić, Milenko 6 Shen, Longjun 6 Shu, Shi 6 Wang, Shuai 6 Yang, Xuehua 6 Yao, Yanzhong 6 Yu, Yunlong 6 Yue, Jingyan 5 Dimkić, Milan 5 Dotlić, Milan 5 Huang, Weizhang 5 Lyra, Paulo Roberto Maciel 5 Pokorni, Boris 5 Quenjel, EL Houssaine 5 Shi, Dongyang 5 Vidovic, Dragan 5 Wang, Wenqia 5 Wu, Xiaoxin 5 Yue, Xiaoqiang 5 Zhang, Haixiang 5 Zhang, Qi 5 Zhao, Fei 4 Chang, Lina 4 Dong, Qiannan 4 Fan, Jishan 4 Gao, Huadong 4 Guo, Geyang 4 Hu, Lijun 4 Li, Lin 4 Ni, Guoxi 4 Peng, Gang 4 Tang, Min 4 Xie, Wenjia 4 Xue, Guanyu 4 Yang, Huaijun 3 Carvalho, Darlan K. E. 3 Contreras, Fernando R. L. 3 Deng, Xi 3 Dong, Cheng 3 Feng, Hui 3 Feng, Xinlong 3 Flemisch, Bernd 3 Gao, Yanni 3 He, Xiaoming 3 Labourasse, Emmanuel 3 Li, Buyang 3 Li, Xiao 3 Lipnikov, Konstantin N. 3 Liu, Bo 3 Liu, Menghuan 3 Lötstedt, Per 3 Lv, Junliang 3 Maire, Pierre-Henri 3 Meinecke, Lina 3 Miao, Shuai 3 Nikitin, Kirill D. 3 Pan, Hao 3 Pan, Yueyue 3 Qiu, Wenlin 3 Schneider, Martin 3 Svyatsky, Daniil 3 Terekhov, Kirill M. 3 Tian, Zhengyu 3 Wang, Yan 3 Wu, Dan 3 Xiao, Feng 3 Xie, Hui 3 Xu, Da 3 Xu, Qiuyan 3 Xu, Xiangsheng 3 Xu, Xiaowen 3 Xu, Xuejun 3 Yan, Wei 3 Yin, Li 3 Yong, Heng 3 Zhai, Chuanlei 3 Zhang, Luming 3 Zhang, Qingjie 3 Zhang, Ye 3 Zhou, Yulin ...and 523 more Authors all top 5 Cited in 93 Serials 77 Journal of Computational Physics 31 Computers & Mathematics with Applications 31 Applied Mathematics and Computation 27 Communications in Computational Physics 19 Journal of Computational and Applied Mathematics 15 Journal of Scientific Computing 14 Applied Numerical Mathematics 12 International Journal of Computer Mathematics 11 Numerical Methods for Partial Differential Equations 9 Computers and Fluids 9 Computational and Applied Mathematics 8 Applied Mathematics Letters 8 Advances in Applied Mathematics and Mechanics 7 Mathematics and Computers in Simulation 7 Advances in Difference Equations 6 Computer Methods in Applied Mechanics and Engineering 5 Numerische Mathematik 5 Science in China. 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