Edit Profile Sun, Shuyu Compute Distance To: Compute Author ID: sun.shuyu Published as: Sun, S.; Sun, Shuyu External Links: ORCID · dblp Documents Indexed: 103 Publications since 2002 all top 5 Co-Authors 1 single-authored 28 Kou, Jisheng 18 Wheeler, Mary Fanett 11 El-Amin, Mohamed Fathy 10 Salama, Amgad 7 Chen, Huangxin 5 Wang, Xiaoping 5 Wang, Xiuhua 5 Yang, Haijian 5 Yao, Jun 5 Zhu, Guangpu 4 Obeyesekere, Mandri N. 4 Qiao, Zhonghua 4 Wu, Yuanqing 4 Yang, Chao 3 Chen, Zhangxin 3 Fan, Xiaolin 3 Li, Aifen 3 Li, Yiteng 2 Chen, Jie 2 Chen, Jie 2 Ervin, Vincent J. 2 He, Zhengkang 2 Hou, Jiangyong 2 Jenkins, Eleanor W. 2 Li, Jichun 2 Negara, Ardiansyah 2 Patrick, Charles jun. 2 Patrick, Charles W. jun. 2 Rivière, Beatrice M. 2 Yotov, Ivan 2 Yu, Bo 2 Zhang, Tao 2 Zhong, Hua 1 Abbas, Ibrahim A. A. 1 Alam, Md. Mahmud 1 Bao, Kai 1 Calo, Victor Manuel 1 Chen, Jie 1 Chen, Menghuo 1 Chung, Tsz Shun Eric 1 Dawson, Clint N. 1 Dong, Hao 1 Dong, Ming 1 Du, Shaohong 1 Ebrahiem, N. A. 1 Eslinger, Owen 1 Ferdows, Mohammad 1 Gao, Xin 1 Girault, Vivette 1 Guo, Shimin 1 Huang, Yunqing 1 Kadoura, Ahmad 1 Kanayama, Hiroshi 1 Khan, Md. Shakhaoath 1 Kowitz, Christoph 1 Li, Jingfa 1 Li, Jun 1 Li, Yu 1 Lin, Jianzhong 1 Liu, Jiangguo 1 Liu, Yang 1 Louaked, Mohammed 1 Peng, Qiujin 1 Seloula, Nour El Houda 1 Shi, Yi 1 Tang, Tao 1 Trabelsi, Saber 1 Vignal, Philippe 1 Wang, Hong 1 Wang, Kaixin 1 Wang, Yi 1 Wei, Wei 1 Wu, Yushu 1 Xie, Xiaoping 1 Yang, Hongtao 1 Yang, Wei 1 Yao, Bowen 1 Yu, Bo 1 Zhang, Shuhua 1 Zhang, Tao all top 5 Serials 14 Computer Methods in Applied Mechanics and Engineering 13 Journal of Computational Physics 11 Journal of Computational and Applied Mathematics 6 SIAM Journal on Scientific Computing 6 Journal of Applied Mathematics 5 SIAM Journal on Numerical Analysis 4 Computers & Mathematics with Applications 4 Journal of Scientific Computing 3 Computers and Fluids 3 Computational Geosciences 2 Numerische Mathematik 2 Journal of Computational Mathematics 2 Applied Numerical Mathematics 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematical Modelling 2 International Journal of Numerical Analysis and Modeling 2 Communications in Computational Physics 2 International Journal of Numerical Analysis and Modeling. Series B 1 Journal of Fluid Mechanics 1 Mathematical Methods in the Applied Sciences 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Computation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Differential and Integral Equations 1 Archive of Applied Mechanics 1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Multiscale Modeling & Simulation all top 5 Fields 80 Fluid mechanics (76-XX) 65 Numerical analysis (65-XX) 15 Partial differential equations (35-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 4 General and overarching topics; collections (00-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Biology and other natural sciences (92-XX) 3 Probability theory and stochastic processes (60-XX) 3 Geophysics (86-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 77 Publications have been cited 974 times in 505 Documents Cited by ▼ Year ▼ Compatible algorithms for coupled flow and transport. Zbl 1067.76565Dawson, Clint; Sun, Shuyu; Wheeler, Mary F. 118 2004 Symmetric and nonsymmetric discontinuous Galerkin methods for reactive transport in porous media. Zbl 1086.76043Sun, Shuyu; Wheeler, Mary F. 78 2005 Coupled generalized nonlinear Stokes flow with flow through a porous medium. Zbl 1279.76032Ervin, V. J.; Jenkins, E. W.; Sun, Shuyu 60 2009 Discontinuous Galerkin methods for coupled flow and reactive transport problems. Zbl 1079.76584Sun, Shuyu; Wheeler, Mary F. 60 2005 A locally conservative finite element method based on piecewise constant enrichment of the continuous Galerkin method. Zbl 1198.65197Sun, Shuyu; Liu, Jiangguo 41 2009 A combined mixed finite element and discontinuous Galerkin method for miscible displacement problem in porous media. Zbl 1060.76072Sun, Shuyu; Rivière, Béatrice; Wheeler, Mary F. 41 2002 Coupling nonlinear Stokes and Darcy flow using mortar finite elements. Zbl 1276.76040Ervin, V. J.; Jenkins, E. W.; Sun, Shuyu 32 2011 \(L^{2}(H^{1})\) norm a posteriori error estimation for discontinuous Galerkin approximations of reactive transport problems. Zbl 1066.76037Sun, Shuyu; Wheeler, Mary F. 28 2005 A finite element method for the numerical solution of the coupled Cahn-Hilliard and Navier-Stokes system for moving contact line problems. Zbl 1284.65131Bao, Kai; Shi, Yi; Sun, Shuyu; Wang, Xiao-Ping 25 2012 Coupling discontinuous Galerkin and mixed finite element discretizations using mortar finite elements. Zbl 1165.65075Girault, Vivette; Sun, Shuyu; Wheeler, Mary F.; Yotov, Ivan 25 2008 Two-phase fluid simulation using a diffuse interface model with Peng-Robinson equation of state. Zbl 1305.76117Qiao, Zhonghua; Sun, Shuyu 23 2014 Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport. Zbl 1175.76096Sun, Shuyu; Wheeler, Mary F. 21 2006 Linearly decoupled energy-stable numerical methods for multicomponent two-phase compressible flow. Zbl 1404.65226Kou, Jisheng; Sun, Shuyu; Wang, Xiuhua 18 2018 A posteriori error estimation and dynamic adaptivity for symmetric discontinuous Galerkin approximations of reactive transport problems. Zbl 1091.76040Sun, Shuyu; Wheeler, Mary F. 18 2006 A deterministic model of growth factor-induced angiogenesis. Zbl 1334.92047Sun, Shuyu; Wheeler, Mary F.; Obeyesekere, Mandri; Patrick, Charles W. jun. 18 2005 Discontinuous Galerkin method for modeling flow and reactive transport in porous media. Zbl 1271.76176Wheeler, Mary F.; Sun, Shuyu; Eslinger, Owen; Rivière, Béatrice 18 2003 Superconvergence of mixed finite element approximations to 3-D Maxwell’s equations in metamaterials. Zbl 1230.78029Huang, Yunqing; Li, Jichun; Yang, Wei; Sun, Shuyu 17 2011 The superconvergence phenomenon and proof of the MAC scheme for the Stokes equations on non-uniform rectangular meshes. Zbl 1328.65210Li, Jichun; Sun, Shuyu 16 2015 A numerical method for a model of two-phase flow in a coupled free flow and porous media system. Zbl 1349.76187Chen, Jie; Sun, Shuyu; Wang, Xiao-Ping 16 2014 Projections of velocity data for the compatibility with transport. Zbl 1091.76041Sun, Shuyu; Wheeler, Mary F. 16 2006 Convergence of discontinuous Galerkin methods for incompressible two-phase flow in heterogeneous media. Zbl 1282.76124Kou, Jisheng; Sun, Shuyu 15 2013 A new treatment of capillarity to improve the stability of IMPES two-phase flow formulation. Zbl 1245.76147Kou, Jisheng; Sun, Shuyu 13 2010 Active-set reduced-space methods with nonlinear elimination for two-phase flow problems in porous media. Zbl 1383.76384Yang, Haijian; Yang, Chao; Sun, Shuyu 12 2016 Unconditionally stable methods for simulating multi-component two-phase interface models with Peng-Robinson equation of state and various boundary conditions. Zbl 1329.76178Kou, Jisheng; Sun, Shuyu 12 2016 Numerical methods for a multicomponent two-phase interface model with geometric mean influence parameters. Zbl 1326.76062Kou, Jisheng; Sun, Shuyu 12 2015 Nonlinearly preconditioned semismooth Newton methods for variational inequality solution of two-phase flow in porous media. Zbl 1378.76115Yang, Haijian; Sun, Shuyu; Yang, Chao 11 2017 Analysis of discontinuous Galerkin methods for multicomponent reactive transport problems. Zbl 1129.65068Sun, Shuyu; Wheeler, M. F. 11 2006 Nonlinear behaviors of capillary formation in a deterministic angiogenesis model. Zbl 1222.92018Sun, Shuyu; Wheeler, Mary F.; Obeyesekere, Mandri; Patrick, Charles jun. 11 2005 Thermodynamically consistent simulation of nonisothermal diffuse-interface two-phase flow with Peng-Robinson equation of state. Zbl 1415.76644Kou, Jisheng; Sun, Shuyu 10 2018 A componentwise convex splitting scheme for diffuse interface models with Van der Waals and Peng-Robinson equations of state. Zbl 1382.65391Fan, Xiaolin; Kou, Jisheng; Qiao, Zhonghua; Sun, Shuyu 9 2017 An adaptive finite element method for simulating surface tension with the gradient theory of fluid interfaces. Zbl 1291.76205Kou, Jisheng; Sun, Shuyu 9 2014 Analysis of a combined mixed finite element and discontinuous Galerkin method for incompressible two-phase flow in porous media. Zbl 1291.76204Kou, Jisheng; Sun, Shuyu 9 2014 Local problem-based a posteriori error estimators for discontinuous Galerkin approximations of reactive transport. Zbl 1117.76061Sun, Shuyu; Wheeler, Mary F. 9 2007 Multiscale angiogenesis modeling using mixed finite element methods. Zbl 1182.92012Sun, Shuyu; Wheeler, Mary F.; Obeyesekere, Mandri; Patrick, Charles jun. 9 2005 Upwind discontinuous Galerkin methods with mass conservation of both phases for incompressible two-phase flow in porous media. Zbl 1308.76169Kou, Jisheng; Sun, Shuyu 8 2014 On iterative IMPES formulation for two phase flow with capillarity in heterogeneous porous media. Zbl 1253.76124Kou, Jisheng; Sun, Shuyu 8 2010 Thermodynamically consistent modelling of two-phase flows with moving contact line and soluble surfactants. Zbl 1430.76475Zhu, Guangpu; Kou, Jisheng; Yao, Bowen; Wu, Yu-Shu; Yao, Jun; Sun, Shuyu 7 2019 Multi-scale diffuse interface modeling of multi-component two-phase flow with partial miscibility. Zbl 1349.76348Kou, Jisheng; Sun, Shuyu 7 2016 Energy stability analysis of some fully discrete numerical schemes for incompressible Navier-Stokes equations on staggered grids. Zbl 1398.65263Chen, Huangxin; Sun, Shuyu; Zhang, Tao 6 2018 Efficient energy-stable dynamic modeling of compositional grading. Zbl 1365.76228Kou, Jisheng; Sun, Shuyu 6 2017 Mixed finite element-based fully conservative methods for simulating wormhole propagation. Zbl 1423.76251Kou, Jisheng; Sun, Shuyu; Wu, Yuanqing 6 2016 Efficient numerical methods for simulating surface tension of multi-component mixtures with the gradient theory of fluid interfaces. Zbl 1423.76250Kou, Jisheng; Sun, Shuyu; Wang, Xiuhua 6 2015 An optimal-order \(L^2\)-error estimate for nonsymmetric discontinuous Galerkin methods for a parabolic equation in multiple space dimensions. Zbl 1227.65085Wang, Kaixin; Wang, Hong; Sun, Shuyu; Wheeler, Mary F. 6 2009 Continuum modeling of supply chain networks using discontinuous Galerkin methods. Zbl 1159.74317Sun, Shuyu; Dong, Ming 6 2008 Adaptive mixed-hybrid and penalty discontinuous Galerkin method for two-phase flow in heterogeneous media. Zbl 1382.76166Hou, Jiangyong; Chen, Jie; Sun, Shuyu; Chen, Zhangxin 5 2016 MHD mixed convective boundary layer flow of a nanofluid through a porous medium due to an exponentially stretching sheet. Zbl 1264.76118Ferdows, M.; Khan, Md. Shakhaoath; Alam, Md. Mahmud; Sun, Shuyu 4 2012 A novel energy factorization approach for the diffuse-interface model with Peng-Robinson equation of state. Zbl 1432.65169Kou, Jisheng; Sun, Shuyu; Wang, Xiuhua 3 2020 Efficient energy-stable schemes for the hydrodynamics coupled phase-field model. Zbl 07186556Zhu, Guangpu; Chen, Huangxin; Yao, Jun; Sun, Shuyu 3 2019 Numerical approximation of a phase-field surfactant model with fluid flow. Zbl 1448.76171Zhu, Guangpu; Kou, Jisheng; Sun, Shuyu; Yao, Jun; Li, Aifen 3 2019 A scalable fully implicit framework for reservoir simulation on parallel computers. Zbl 1439.76103Yang, Haijian; Sun, Shuyu; Li, Yiteng; Yang, Chao 3 2018 An energy stable evolution method for simulating two-phase equilibria of multi-component fluids at constant moles, volume and temperature. Zbl 1392.86012Kou, Jisheng; Sun, Shuyu; Wang, Xiuhua 3 2016 Direct calculation of permeability by high-accurate finite difference and numerical integration methods. Zbl 1373.76198Wang, Yi; Sun, Shuyu 3 2016 Speeding up the flash calculations in two-phase compositional flow simulations - the application of sparse grids. Zbl 1351.76227Wu, Yuanqing; Kowitz, Christoph; Sun, Shuyu; Salama, Amgad 3 2015 Optimal convergence of discontinuous Galerkin methods for continuum modeling of supply chain networks. Zbl 1361.35110Zhang, Shuhua; Sun, Shuyu; Yang, Hongtao 3 2014 Solving global problem by considering multitude of local problems: application to fluid flow in anisotropic porous media using the multipoint flux approximation. Zbl 1293.76096Salama, Amgad; Sun, Shuyu; Wheeler, Mary F. 3 2014 Multiscale time-splitting strategy for multiscale multiphysics processes of two-phase flow in fractured media. Zbl 1381.76341Kou, Jisheng; Sun, Shuyu; Yu, Bo 3 2011 Fully mass-conservative IMPES schemes for incompressible two-phase flow in porous media. Zbl 1441.76057Chen, Huangxin; Kou, Jisheng; Sun, Shuyu; Zhang, Tao 2 2019 Numerical comparison of robustness of some reduction methods in rough grids. Zbl 1308.76167Hou, Jiangyong; Sun, Shuyu; Chen, Zhangxin 2 2014 Adaptive moving grid methods for two-phase flow in porous media. Zbl 1293.76099Dong, Hao; Qiao, Zhonghua; Sun, Shuyu; Tang, Tao 2 2014 Matrix-oriented implementation for the numerical solution of the partial differential equations governing flows and transport in porous media. Zbl 1365.76314Sun, Shuyu; Salama, Amgad; El Amin, M. F. 2 2012 Simulation of \(CO_2\) plume in porous media: consideration of capillarity and buoyancy effects. Zbl 1242.76322Negara, Ardiansyah; El-Amin, Mohamed Fathy; Sun, Shuyu 2 2011 Radiative mixed convection over an isothermal cone embedded in a porous medium with variable permeability. Zbl 1213.76190El-Amin, M. F.; Ebrahiem, N. A.; Salama, Amgad; Sun, Shuyu 2 2011 Some new root-finding methods with eighth-order convergence. Zbl 1212.65196Kou, Jisheng; Wang, Xiuhua; Sun, Shuyu 2 2010 A fully mass-conservative iterative IMPEC method for multicomponent compressible flow in porous media. Zbl 1418.65167Chen, Huangxin; Fan, Xiaolin; Sun, Shuyu 1 2019 Homogenization of two-phase fluid flow in porous media via volume averaging. Zbl 1432.76252Chen, Jie; Sun, Shuyu; Wang, Xiaoping 1 2019 A semi-analytic porosity evolution scheme for simulating wormhole propagation with the Darcy-Brinkman-Forchheimer model. Zbl 1404.65175Kou, Jisheng; Sun, Shuyu; Wu, Yuanqing 1 2019 Thermodynamically consistent modeling and simulation of multi-component two-phase flow with partial miscibility. Zbl 1439.76079Kou, Jisheng; Sun, Shuyu 1 2018 A residual-based a posteriori error estimator for single-phase Darcy flow in fractured porous media. Zbl 1397.76062Chen, Huangxin; Sun, Shuyu 1 2017 Modeling crack propagation in polycrystalline microstructure using variational multiscale method. Zbl 1400.74096Sun, S.; Sundararaghavan, V. 1 2016 Residual-based a posteriori error estimation for multipoint flux mixed finite element methods. Zbl 1380.65344Du, Shaohong; Sun, Shuyu; Xie, Xiaoping 1 2016 Multiphase flow simulation with gravity effect in anisotropic porous media using multipoint flux approximation. Zbl 1390.76601Negara, Ardiansyah; Salama, Amgad; Sun, Shuyu 1 2015 Existence and multiplicity of positive solutions for singular Monge-Ampère system. Zbl 1373.34044Wang, F.; Sun, S. 1 2015 A pseudocompressibility method for the incompressible Brinkman-Forchheimer equations. Zbl 1340.35264Louaked, Mohammed; Seloula, Nour; Sun, Shuyu; Trabelsi, Saber 1 2015 Quasistatic analysis on configuration of two-phase flow in Y-shaped tubes. Zbl 1369.76058Zhong, Hua; Wang, Xiao-Ping; Salama, Amgad; Sun, Shuyu 1 2014 Numerical and dimensional investigation of two-phase countercurrent imbibition in porous media. Zbl 1343.76066El-Amin, M. F.; Salama, Amgad; Sun, Shuyu 1 2013 Effects of gravity and inlet/outlet location on a two-phase cocurrent imbibition in porous media. Zbl 1213.76191El-Amin, M. F.; Sun, Shuyu 1 2011 Numerical simulation of pollutant transport in fractured vuggy porous karstic aquifers. Zbl 1213.76194Fan, Xiaolin; Sun, Shuyu; Wei, Wei; Kou, Jisheng 1 2011 A novel energy factorization approach for the diffuse-interface model with Peng-Robinson equation of state. Zbl 1432.65169Kou, Jisheng; Sun, Shuyu; Wang, Xiuhua 3 2020 Thermodynamically consistent modelling of two-phase flows with moving contact line and soluble surfactants. Zbl 1430.76475Zhu, Guangpu; Kou, Jisheng; Yao, Bowen; Wu, Yu-Shu; Yao, Jun; Sun, Shuyu 7 2019 Efficient energy-stable schemes for the hydrodynamics coupled phase-field model. Zbl 07186556Zhu, Guangpu; Chen, Huangxin; Yao, Jun; Sun, Shuyu 3 2019 Numerical approximation of a phase-field surfactant model with fluid flow. Zbl 1448.76171Zhu, Guangpu; Kou, Jisheng; Sun, Shuyu; Yao, Jun; Li, Aifen 3 2019 Fully mass-conservative IMPES schemes for incompressible two-phase flow in porous media. Zbl 1441.76057Chen, Huangxin; Kou, Jisheng; Sun, Shuyu; Zhang, Tao 2 2019 A fully mass-conservative iterative IMPEC method for multicomponent compressible flow in porous media. Zbl 1418.65167Chen, Huangxin; Fan, Xiaolin; Sun, Shuyu 1 2019 Homogenization of two-phase fluid flow in porous media via volume averaging. Zbl 1432.76252Chen, Jie; Sun, Shuyu; Wang, Xiaoping 1 2019 A semi-analytic porosity evolution scheme for simulating wormhole propagation with the Darcy-Brinkman-Forchheimer model. Zbl 1404.65175Kou, Jisheng; Sun, Shuyu; Wu, Yuanqing 1 2019 Linearly decoupled energy-stable numerical methods for multicomponent two-phase compressible flow. Zbl 1404.65226Kou, Jisheng; Sun, Shuyu; Wang, Xiuhua 18 2018 Thermodynamically consistent simulation of nonisothermal diffuse-interface two-phase flow with Peng-Robinson equation of state. Zbl 1415.76644Kou, Jisheng; Sun, Shuyu 10 2018 Energy stability analysis of some fully discrete numerical schemes for incompressible Navier-Stokes equations on staggered grids. Zbl 1398.65263Chen, Huangxin; Sun, Shuyu; Zhang, Tao 6 2018 A scalable fully implicit framework for reservoir simulation on parallel computers. Zbl 1439.76103Yang, Haijian; Sun, Shuyu; Li, Yiteng; Yang, Chao 3 2018 Thermodynamically consistent modeling and simulation of multi-component two-phase flow with partial miscibility. Zbl 1439.76079Kou, Jisheng; Sun, Shuyu 1 2018 Nonlinearly preconditioned semismooth Newton methods for variational inequality solution of two-phase flow in porous media. Zbl 1378.76115Yang, Haijian; Sun, Shuyu; Yang, Chao 11 2017 A componentwise convex splitting scheme for diffuse interface models with Van der Waals and Peng-Robinson equations of state. Zbl 1382.65391Fan, Xiaolin; Kou, Jisheng; Qiao, Zhonghua; Sun, Shuyu 9 2017 Efficient energy-stable dynamic modeling of compositional grading. Zbl 1365.76228Kou, Jisheng; Sun, Shuyu 6 2017 A residual-based a posteriori error estimator for single-phase Darcy flow in fractured porous media. Zbl 1397.76062Chen, Huangxin; Sun, Shuyu 1 2017 Active-set reduced-space methods with nonlinear elimination for two-phase flow problems in porous media. Zbl 1383.76384Yang, Haijian; Yang, Chao; Sun, Shuyu 12 2016 Unconditionally stable methods for simulating multi-component two-phase interface models with Peng-Robinson equation of state and various boundary conditions. Zbl 1329.76178Kou, Jisheng; Sun, Shuyu 12 2016 Multi-scale diffuse interface modeling of multi-component two-phase flow with partial miscibility. Zbl 1349.76348Kou, Jisheng; Sun, Shuyu 7 2016 Mixed finite element-based fully conservative methods for simulating wormhole propagation. Zbl 1423.76251Kou, Jisheng; Sun, Shuyu; Wu, Yuanqing 6 2016 Adaptive mixed-hybrid and penalty discontinuous Galerkin method for two-phase flow in heterogeneous media. Zbl 1382.76166Hou, Jiangyong; Chen, Jie; Sun, Shuyu; Chen, Zhangxin 5 2016 An energy stable evolution method for simulating two-phase equilibria of multi-component fluids at constant moles, volume and temperature. Zbl 1392.86012Kou, Jisheng; Sun, Shuyu; Wang, Xiuhua 3 2016 Direct calculation of permeability by high-accurate finite difference and numerical integration methods. Zbl 1373.76198Wang, Yi; Sun, Shuyu 3 2016 Modeling crack propagation in polycrystalline microstructure using variational multiscale method. Zbl 1400.74096Sun, S.; Sundararaghavan, V. 1 2016 Residual-based a posteriori error estimation for multipoint flux mixed finite element methods. Zbl 1380.65344Du, Shaohong; Sun, Shuyu; Xie, Xiaoping 1 2016 The superconvergence phenomenon and proof of the MAC scheme for the Stokes equations on non-uniform rectangular meshes. Zbl 1328.65210Li, Jichun; Sun, Shuyu 16 2015 Numerical methods for a multicomponent two-phase interface model with geometric mean influence parameters. Zbl 1326.76062Kou, Jisheng; Sun, Shuyu 12 2015 Efficient numerical methods for simulating surface tension of multi-component mixtures with the gradient theory of fluid interfaces. Zbl 1423.76250Kou, Jisheng; Sun, Shuyu; Wang, Xiuhua 6 2015 Speeding up the flash calculations in two-phase compositional flow simulations - the application of sparse grids. Zbl 1351.76227Wu, Yuanqing; Kowitz, Christoph; Sun, Shuyu; Salama, Amgad 3 2015 Multiphase flow simulation with gravity effect in anisotropic porous media using multipoint flux approximation. Zbl 1390.76601Negara, Ardiansyah; Salama, Amgad; Sun, Shuyu 1 2015 Existence and multiplicity of positive solutions for singular Monge-Ampère system. Zbl 1373.34044Wang, F.; Sun, S. 1 2015 A pseudocompressibility method for the incompressible Brinkman-Forchheimer equations. Zbl 1340.35264Louaked, Mohammed; Seloula, Nour; Sun, Shuyu; Trabelsi, Saber 1 2015 Two-phase fluid simulation using a diffuse interface model with Peng-Robinson equation of state. Zbl 1305.76117Qiao, Zhonghua; Sun, Shuyu 23 2014 A numerical method for a model of two-phase flow in a coupled free flow and porous media system. Zbl 1349.76187Chen, Jie; Sun, Shuyu; Wang, Xiao-Ping 16 2014 An adaptive finite element method for simulating surface tension with the gradient theory of fluid interfaces. Zbl 1291.76205Kou, Jisheng; Sun, Shuyu 9 2014 Analysis of a combined mixed finite element and discontinuous Galerkin method for incompressible two-phase flow in porous media. Zbl 1291.76204Kou, Jisheng; Sun, Shuyu 9 2014 Upwind discontinuous Galerkin methods with mass conservation of both phases for incompressible two-phase flow in porous media. Zbl 1308.76169Kou, Jisheng; Sun, Shuyu 8 2014 Optimal convergence of discontinuous Galerkin methods for continuum modeling of supply chain networks. Zbl 1361.35110Zhang, Shuhua; Sun, Shuyu; Yang, Hongtao 3 2014 Solving global problem by considering multitude of local problems: application to fluid flow in anisotropic porous media using the multipoint flux approximation. Zbl 1293.76096Salama, Amgad; Sun, Shuyu; Wheeler, Mary F. 3 2014 Numerical comparison of robustness of some reduction methods in rough grids. Zbl 1308.76167Hou, Jiangyong; Sun, Shuyu; Chen, Zhangxin 2 2014 Adaptive moving grid methods for two-phase flow in porous media. Zbl 1293.76099Dong, Hao; Qiao, Zhonghua; Sun, Shuyu; Tang, Tao 2 2014 Quasistatic analysis on configuration of two-phase flow in Y-shaped tubes. Zbl 1369.76058Zhong, Hua; Wang, Xiao-Ping; Salama, Amgad; Sun, Shuyu 1 2014 Convergence of discontinuous Galerkin methods for incompressible two-phase flow in heterogeneous media. Zbl 1282.76124Kou, Jisheng; Sun, Shuyu 15 2013 Numerical and dimensional investigation of two-phase countercurrent imbibition in porous media. Zbl 1343.76066El-Amin, M. F.; Salama, Amgad; Sun, Shuyu 1 2013 A finite element method for the numerical solution of the coupled Cahn-Hilliard and Navier-Stokes system for moving contact line problems. Zbl 1284.65131Bao, Kai; Shi, Yi; Sun, Shuyu; Wang, Xiao-Ping 25 2012 MHD mixed convective boundary layer flow of a nanofluid through a porous medium due to an exponentially stretching sheet. Zbl 1264.76118Ferdows, M.; Khan, Md. Shakhaoath; Alam, Md. Mahmud; Sun, Shuyu 4 2012 Matrix-oriented implementation for the numerical solution of the partial differential equations governing flows and transport in porous media. Zbl 1365.76314Sun, Shuyu; Salama, Amgad; El Amin, M. F. 2 2012 Coupling nonlinear Stokes and Darcy flow using mortar finite elements. Zbl 1276.76040Ervin, V. J.; Jenkins, E. W.; Sun, Shuyu 32 2011 Superconvergence of mixed finite element approximations to 3-D Maxwell’s equations in metamaterials. Zbl 1230.78029Huang, Yunqing; Li, Jichun; Yang, Wei; Sun, Shuyu 17 2011 Multiscale time-splitting strategy for multiscale multiphysics processes of two-phase flow in fractured media. Zbl 1381.76341Kou, Jisheng; Sun, Shuyu; Yu, Bo 3 2011 Simulation of \(CO_2\) plume in porous media: consideration of capillarity and buoyancy effects. Zbl 1242.76322Negara, Ardiansyah; El-Amin, Mohamed Fathy; Sun, Shuyu 2 2011 Radiative mixed convection over an isothermal cone embedded in a porous medium with variable permeability. Zbl 1213.76190El-Amin, M. F.; Ebrahiem, N. A.; Salama, Amgad; Sun, Shuyu 2 2011 Effects of gravity and inlet/outlet location on a two-phase cocurrent imbibition in porous media. Zbl 1213.76191El-Amin, M. F.; Sun, Shuyu 1 2011 Numerical simulation of pollutant transport in fractured vuggy porous karstic aquifers. Zbl 1213.76194Fan, Xiaolin; Sun, Shuyu; Wei, Wei; Kou, Jisheng 1 2011 A new treatment of capillarity to improve the stability of IMPES two-phase flow formulation. Zbl 1245.76147Kou, Jisheng; Sun, Shuyu 13 2010 On iterative IMPES formulation for two phase flow with capillarity in heterogeneous porous media. Zbl 1253.76124Kou, Jisheng; Sun, Shuyu 8 2010 Some new root-finding methods with eighth-order convergence. Zbl 1212.65196Kou, Jisheng; Wang, Xiuhua; Sun, Shuyu 2 2010 Coupled generalized nonlinear Stokes flow with flow through a porous medium. Zbl 1279.76032Ervin, V. J.; Jenkins, E. W.; Sun, Shuyu 60 2009 A locally conservative finite element method based on piecewise constant enrichment of the continuous Galerkin method. Zbl 1198.65197Sun, Shuyu; Liu, Jiangguo 41 2009 An optimal-order \(L^2\)-error estimate for nonsymmetric discontinuous Galerkin methods for a parabolic equation in multiple space dimensions. Zbl 1227.65085Wang, Kaixin; Wang, Hong; Sun, Shuyu; Wheeler, Mary F. 6 2009 Coupling discontinuous Galerkin and mixed finite element discretizations using mortar finite elements. Zbl 1165.65075Girault, Vivette; Sun, Shuyu; Wheeler, Mary F.; Yotov, Ivan 25 2008 Continuum modeling of supply chain networks using discontinuous Galerkin methods. Zbl 1159.74317Sun, Shuyu; Dong, Ming 6 2008 Local problem-based a posteriori error estimators for discontinuous Galerkin approximations of reactive transport. Zbl 1117.76061Sun, Shuyu; Wheeler, Mary F. 9 2007 Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport. Zbl 1175.76096Sun, Shuyu; Wheeler, Mary F. 21 2006 A posteriori error estimation and dynamic adaptivity for symmetric discontinuous Galerkin approximations of reactive transport problems. Zbl 1091.76040Sun, Shuyu; Wheeler, Mary F. 18 2006 Projections of velocity data for the compatibility with transport. Zbl 1091.76041Sun, Shuyu; Wheeler, Mary F. 16 2006 Analysis of discontinuous Galerkin methods for multicomponent reactive transport problems. Zbl 1129.65068Sun, Shuyu; Wheeler, M. F. 11 2006 Symmetric and nonsymmetric discontinuous Galerkin methods for reactive transport in porous media. Zbl 1086.76043Sun, Shuyu; Wheeler, Mary F. 78 2005 Discontinuous Galerkin methods for coupled flow and reactive transport problems. Zbl 1079.76584Sun, Shuyu; Wheeler, Mary F. 60 2005 \(L^{2}(H^{1})\) norm a posteriori error estimation for discontinuous Galerkin approximations of reactive transport problems. Zbl 1066.76037Sun, Shuyu; Wheeler, Mary F. 28 2005 A deterministic model of growth factor-induced angiogenesis. Zbl 1334.92047Sun, Shuyu; Wheeler, Mary F.; Obeyesekere, Mandri; Patrick, Charles W. jun. 18 2005 Nonlinear behaviors of capillary formation in a deterministic angiogenesis model. Zbl 1222.92018Sun, Shuyu; Wheeler, Mary F.; Obeyesekere, Mandri; Patrick, Charles jun. 11 2005 Multiscale angiogenesis modeling using mixed finite element methods. Zbl 1182.92012Sun, Shuyu; Wheeler, Mary F.; Obeyesekere, Mandri; Patrick, Charles jun. 9 2005 Compatible algorithms for coupled flow and transport. Zbl 1067.76565Dawson, Clint; Sun, Shuyu; Wheeler, Mary F. 118 2004 Discontinuous Galerkin method for modeling flow and reactive transport in porous media. Zbl 1271.76176Wheeler, Mary F.; Sun, Shuyu; Eslinger, Owen; Rivière, Béatrice 18 2003 A combined mixed finite element and discontinuous Galerkin method for miscible displacement problem in porous media. Zbl 1060.76072Sun, Shuyu; Rivière, Béatrice; Wheeler, Mary F. 41 2002 all cited Publications top 5 cited Publications all top 5 Cited by 818 Authors 59 Sun, Shuyu 34 Wheeler, Mary Fanett 27 Kou, Jisheng 19 Rivière, Beatrice M. 14 He, Xiaoming 13 Gatica, Gabriel N. 11 Liu, Jiangguo 10 Chen, Zhangxin 10 Li, Jichun 10 Lin, Yanping 10 Rui, Hongxing 10 Yang, Jiming 9 Dawson, Clint N. 9 Ervin, Vincent J. 9 Guo, Hui 9 Huang, Yunqing 9 Lee, Sanghyun 8 Wang, Xiaoping 7 Chen, Huangxin 7 Chen, Yanping 7 Li, Jian 7 Li, Xiaoli 7 Qiao, Zhonghua 7 Ruiz-Baier, Ricardo 7 Yotov, Ivan 6 Antonietti, Paola Francesca 6 Dolejší, Vít 6 Epshteyn, Yekaterina 6 Gao, Yali 6 Girault, Vivette 6 Oyarzúa, Ricardo 6 Wang, Xiuhua 6 Yang, Haijian 6 Yao, Jun 5 Cai, Xiao-Chuan 5 Ginting, Victor 5 Lee, Hyesuk Kwon 5 Li, Xiao 5 Luo, Li 5 Mei, Liquan 5 Pencheva, Gergina V. 5 Scovazzi, Guglielmo 5 Zhang, Jiansong 5 Zhu, Guangpu 4 Al Mahbub, Md. Abdullah 4 Capasso, Vincenzo 4 Deng, Quanling 4 Dong, Ming 4 El-Amin, Mohamed Fathy 4 Feistauer, Miloslav 4 Ju, Lili 4 Kim, Mi-Young 4 Kumar, Sarvesh 4 Layton, William J. 4 Li, Buyang 4 Li, Rui 4 Liu, Ruijie 4 Qin, Yi 4 Rupp, Andreas 4 Salama, Amgad 4 Sayas, Francisco-Javier 4 Tavener, Simon J. 4 Wang, Xiaoming 4 Wick, Thomas 4 Wu, Chao 4 Zhang, Qian 4 Zhang, Zhimin 4 Zheng, Haibiao 3 Almeida, Regina C. 3 Ambartsumyan, Ilona 3 Arbogast, Todd 3 Bonilla, Luis Lopez 3 Carretero, Manuel 3 Choo, Jinhyun 3 Chung, Tsz Shun Eric 3 Dong, Suchuan 3 Fan, Xiaolin 3 Frank, Florian 3 Ghafouri, Hamid R. 3 Gunzburger, Max D. 3 Havle, Oto 3 He, Fenglan 3 Hou, Yanren 3 Jenkins, Eleanor W. 3 Kim, Mi Young 3 Kubacki, Michaela 3 Li, Aifen 3 Li, Jizhou 3 Li, Rui 3 Lin, Guang 3 Marini, Luisa Donatella 3 Mikelić, Andro 3 Miranville, Alain M. 3 Moraiti, Marina 3 Morale, Daniela 3 Mu, Lin 3 Nordbotten, Jan Martin 3 Ohm, Mi-Ray 3 Qiu, Changxin 3 Radu, Florin Adrian ...and 718 more Authors all top 5 Cited in 89 Serials 57 Computer Methods in Applied Mechanics and Engineering 57 Journal of Computational Physics 49 Journal of Scientific Computing 44 Journal of Computational and Applied Mathematics 26 Computers & Mathematics with Applications 23 Computational Geosciences 19 Applied Numerical Mathematics 17 Numerical Methods for Partial Differential Equations 16 SIAM Journal on Scientific Computing 13 Numerische Mathematik 13 SIAM Journal on Numerical Analysis 8 Mathematics of Computation 7 Applied Mathematical Modelling 6 Applied Mathematics and Computation 6 Mathematical Problems in Engineering 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Computers and Fluids 5 Numerical Algorithms 5 Advances in Computational Mathematics 5 Journal of Applied Mathematics 5 Journal of Theoretical Biology 4 Journal of Fluid Mechanics 4 Journal of Mathematical Analysis and Applications 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 International Journal of Numerical Methods for Heat & Fluid Flow 4 Multiscale Modeling & Simulation 4 Science China. Mathematics 3 Bulletin of Mathematical Biology 3 Mathematics and Computers in Simulation 3 Applications of Mathematics 3 Abstract and Applied Analysis 3 Archives of Computational Methods in Engineering 3 Journal of Systems Science and Complexity 2 Applicable Analysis 2 Journal of Mathematical Biology 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics Letters 2 Japan Journal of Industrial and Applied Mathematics 2 International Journal of Computer Mathematics 2 Journal of Numerical Mathematics 2 Journal of Applied Mathematics and Computing 2 GEM - International Journal on Geomathematics 1 Archive for Rational Mechanics and Analysis 1 International Journal for Numerical Methods in Fluids 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Engineering Mathematics 1 Mathematical Biosciences 1 Automatica 1 Calcolo 1 Journal of Differential Equations 1 Kybernetika 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Acta Applicandae Mathematicae 1 Journal of the Nigerian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematical and Computer Modelling 1 European Journal of Operational Research 1 SIAM Journal on Mathematical Analysis 1 Calculus of Variations and Partial Differential Equations 1 Communications in Numerical Methods in Engineering 1 Turkish Journal of Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Journal of Inequalities and Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 Far East Journal of Mathematical Sciences 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Computational Methods 1 Advances in Difference Equations 1 Journal of Statistical Mechanics: Theory and Experiment 1 Mathematical Biosciences and Engineering 1 Boundary Value Problems 1 Journal of Industrial and Management Optimization 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Journal of Biological Dynamics 1 Algorithms 1 Advances in Mathematical Physics 1 Journal of Geometric Mechanics 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 Axioms 1 International Journal of Partial Differential Equations 1 International Journal of Applied and Computational Mathematics 1 Results in Applied Mathematics all top 5 Cited in 25 Fields 380 Numerical analysis (65-XX) 308 Fluid mechanics (76-XX) 159 Partial differential equations (35-XX) 51 Mechanics of deformable solids (74-XX) 32 Biology and other natural sciences (92-XX) 21 Geophysics (86-XX) 18 Optics, electromagnetic theory (78-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Operations research, mathematical programming (90-XX) 5 Probability theory and stochastic processes (60-XX) 5 Systems theory; control (93-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mathematics education (97-XX) Citations by Year