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## Duan, Huoyuan

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 Author ID: duan.huoyuan Published as: Duan, Huo-Yuan; Duan, Huo-yuan; Duan, Huoyuan
 Documents Indexed: 57 Publications since 1998
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#### Co-Authors

 11 single-authored 20 Tan, Roger C. E. 11 Liang, Guoping 8 Lin, Ping 5 Yang, Suh-Yuh 3 Du, Zhijie 3 Gao, Shaoqin 3 You, Cheng-Shu 3 Zhang, Shangyou 2 Hsieh, Po-Wen 2 Lin, Qun 2 Ma, Junhua 2 Qiu, Fengjuan 2 Saikrishnan, P. 2 Zhang, Dali 2 Zheng, Weiying 1 Chen, Xing 1 Chua, Seng-Kee 1 Du, Shuaishuai 1 Jia, Feng 1 Jiang, Bo-Nan 1 Li, Sha 1 Li, Shaoyou 1 Liu, Wei 1 Liu, Wei 1 Liu, Wei 1 Liu, Wei 1 Ma, Changfeng 1 Wang, Lieheng 1 Xue, Yunhua 1 Zhang, Qiang
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#### Serials

 8 SIAM Journal on Numerical Analysis 7 Computer Methods in Applied Mechanics and Engineering 5 Mathematics of Computation 4 Journal of Computational Mathematics 3 Numerical Methods for Partial Differential Equations 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 Acta Mathematicae Applicatae Sinica 2 Acta Mathematicae Applicatae Sinica. English Series 2 Mathematica Applicata 2 Journal of Scientific Computing 2 Journal of Systems Science and Complexity 2 Acta Mathematica Scientia. Series B. (English Edition) 1 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Applied Mathematics and Computation 1 Indiana University Mathematics Journal 1 Numerical Mathematics 1 Journal of Mathematical Research & Exposition 1 Applied Numerical Mathematics 1 SIAM Journal on Scientific Computing 1 Applied Mathematics. Series B (English Edition) 1 Pure and Applied Mathematics 1 Chinese Journal of Numerical Mathematics and Applications 1 Acta Mathematica Scientia. Series A. (Chinese Edition)
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#### Fields

 46 Numerical analysis (65-XX) 28 Partial differential equations (35-XX) 16 Fluid mechanics (76-XX) 11 Mechanics of deformable solids (74-XX) 11 Optics, electromagnetic theory (78-XX) 4 Functional analysis (46-XX) 2 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH

35 Publications have been cited 150 times in 79 Documents Cited by Year
The local $$L^2$$ projected $$C^0$$ finite element method for Maxwell problem. Zbl 1207.65137
Duan, Huo-Yuan; Jia, Feng; Lin, Ping; Tan, Roger C. E.
2009
A delta-regularization finite element method for a double curl problem with divergence-free constraint. Zbl 1261.65116
Duan, Huoyuan; Li, Sha; Tan, Roger C. E.; Zheng, Weiying
2012
On the velocity-pressure-vorticity least-squares mixed finite element method for the 3D Stokes equations. Zbl 1058.65128
Duan, Huo-Yuan; Liang, Guo-Ping
2003
Nonconforming elements in least-squares mixed finite element methods. Zbl 1035.65124
Duan, Huo-Yuan; Liang, Guo-Ping
2004
Error estimates for a vectorial second-order elliptic eigenproblem by the local $$L^2$$ projected $$C^0$$ finite element method. Zbl 1281.65141
Duan, Huo-Yuan; Lin, Ping; Tan, Roger C. E.
2013
Analysis of a continuous finite element method for $$H(\mathrm{curl},\mathrm{div})$$-elliptic interface problem. Zbl 1268.65151
Duan, Huoyuan; Lin, Ping; Tan, Roger C. E.
2013
$$C ^{0}$$ elements for generalized indefinite Maxwell equations. Zbl 1250.78037
Duan, Huoyuan; Lin, Ping; Tan, Roger C. E.
2012
Analysis of some stabilized low-order mixed finite element methods for Reissner-Mindlin plates. Zbl 1041.74067
Duan, Huoyuan; Liang, Guoping
2001
Computation of Maxwell singular solution by nodal-continuous elements. Zbl 1349.78065
Duan, Huo-Yuan; Tan, Roger C. E.; Yang, Suh-Yuh; You, Cheng-Shu
2014
Analysis of a new stabilized finite element method for the reaction-convection-diffusion equations with a large reaction coefficient. Zbl 1352.65340
Duan, Huo-Yuan; Hsieh, Po-Wen; Tan, Roger C. E.; Yang, Suh-Yuh
2012
Mixed and nonconforming finite element approximations of Reissner-Mindlin plates. Zbl 1054.74051
Duan, Huo-Yuan; Liang, Guo-Ping
2003
Analysis of the small viscosity and large reaction coefficient in the computation of the generalized Stokes problem by a novel stabilized finite element method. Zbl 1296.76081
Duan, Huo-Yuan; Hsieh, Po-Wen; Tan, Roger C. E.; Yang, Suh-Yuh
2014
Negative norm least-squares methods for the incompressible magnetohydrodynamic equations. Zbl 1174.76020
Gao, Shaoqin; Duan, Huoyuan
2008
A least-squares finite element method for the magnetostatic problem in a multiply connected Lipschitz domain. Zbl 1153.78005
Duan, Huo-Yuan; Lin, Ping; Saikrishnan, P.; Tan, Roger C. E.
2007
A new stabilized finite element method for solving the advection-diffusion equations. Zbl 0995.65120
Duan, Huoyuan
2002
A finite element method for a curlcurl-graddiv eigenvalue interface problem. Zbl 1337.65144
Duan, Huoyuan; Lin, Ping; Tan, Roger C. E.
2016
A generalized BPX multigrid framework covering nonnested V-cycle methods. Zbl 1121.65126
Duan, Huo-Yuan; Gao, Shao-Qin; Tan, Roger C. E.; Zhang, Shangyou
2007
An adaptive FEM for a Maxwell interface problem. Zbl 1343.78019
Duan, Huoyuan; Qiu, Fengjuan; Tan, Roger C. E.; Zheng, Weiying
2016
A locking-free Reissner-Mindlin quadrilateral element. Zbl 1053.74042
Duan, Huoyuan; Liang, Guoping
2004
A mixed $$H^1$$-conforming finite element method for solving Maxwell’s equations with non-$$H^1$$ solution. Zbl 1383.78037
Duan, Huo-Yuan; Tan, Roger C. E.; Yang, Suh-Yuh; You, Cheng-Shu
2018
An SPD stabilized finite element method for the Stokes equations. Zbl 1329.76165
Duan, Huoyuan; Tan, Roger C. E.; Yang, Suh-Yuh; You, Cheng-Shu
2015
A finite element method for Reissner-Mindlin plates. Zbl 1302.74094
Duan, Huoyuan
2014
$$L^{2}$$-projected least-squares finite element methods for the Stokes equations. Zbl 1118.65119
Duan, Huo-yuan; Lin, Ping; Saikrishnan, P.; Tan, Roger C. E.
2006
Mixed finite elements of least-squares type for elasticity. Zbl 1091.74047
Duan, Huo-Yuan; Lin, Qun
2005
An improved Reissner-Mindlin triangular element. Zbl 1131.74336
Duan, Huo-Yuan; Liang, Guo-Ping
2002
A technique for inverse estimation emanating from stabilized finite element methods. Zbl 0936.76028
Duan, Huoyuan
1998
Analysis of a stabilized finite element method for Stokes equations of velocity boundary condition and of pressure boundary condition. Zbl 1444.76046
Du, Shuaishuai; Duan, Huoyuan
2018
On the Poincaré-Friedrichs inequality for piecewise $$H^{1}$$ functions in anisotropic discontinuous Galerkin finite element methods. Zbl 1208.26023
Duan, Huo-Yuan; Tan, Roger C. E.
2011
Weighted Poincaré inequalities on symmetric convex domains. Zbl 1191.46028
Chua, Seng-Kee; Duan, Huo-Yuan
2009
Analysis of a least-squares finite element method for the thin plate problem. Zbl 1159.74037
Duan, Huo-Yuan; Gao, Shao-Qin; Jiang, Bo-Nan; Tan, Roger C. E.
2009
A finite element method for singularly perturbed reaction-diffusion problems. Zbl 1033.65101
Duan, Huo-yuan; Zhang, Da-Li
2003
A new stabilized finite element method for solving the Stokes and Navier-Stokes equations. II: The nonlinear case. Zbl 1136.65338
Duan, Huoyuan; Liang, Guoping
2001
A new stabilized finite element method for solving the Stokes and Navier-Stokes equations. I: The linear case. Zbl 1017.76042
Duan, Huoyuan; Liang, Guoping
2001
Nonconforming stabilized finite element methods based on Riesz-representing operators. Zbl 0951.65124
Duan, Huoyuan
1999
Analysis of mixed finite elements stabilized by bubble functions. Zbl 0935.65121
Duan, Huoyuan
1998
A mixed $$H^1$$-conforming finite element method for solving Maxwell’s equations with non-$$H^1$$ solution. Zbl 1383.78037
Duan, Huo-Yuan; Tan, Roger C. E.; Yang, Suh-Yuh; You, Cheng-Shu
2018
Analysis of a stabilized finite element method for Stokes equations of velocity boundary condition and of pressure boundary condition. Zbl 1444.76046
Du, Shuaishuai; Duan, Huoyuan
2018
A finite element method for a curlcurl-graddiv eigenvalue interface problem. Zbl 1337.65144
Duan, Huoyuan; Lin, Ping; Tan, Roger C. E.
2016
An adaptive FEM for a Maxwell interface problem. Zbl 1343.78019
Duan, Huoyuan; Qiu, Fengjuan; Tan, Roger C. E.; Zheng, Weiying
2016
An SPD stabilized finite element method for the Stokes equations. Zbl 1329.76165
Duan, Huoyuan; Tan, Roger C. E.; Yang, Suh-Yuh; You, Cheng-Shu
2015
Computation of Maxwell singular solution by nodal-continuous elements. Zbl 1349.78065
Duan, Huo-Yuan; Tan, Roger C. E.; Yang, Suh-Yuh; You, Cheng-Shu
2014
Analysis of the small viscosity and large reaction coefficient in the computation of the generalized Stokes problem by a novel stabilized finite element method. Zbl 1296.76081
Duan, Huo-Yuan; Hsieh, Po-Wen; Tan, Roger C. E.; Yang, Suh-Yuh
2014
A finite element method for Reissner-Mindlin plates. Zbl 1302.74094
Duan, Huoyuan
2014
Error estimates for a vectorial second-order elliptic eigenproblem by the local $$L^2$$ projected $$C^0$$ finite element method. Zbl 1281.65141
Duan, Huo-Yuan; Lin, Ping; Tan, Roger C. E.
2013
Analysis of a continuous finite element method for $$H(\mathrm{curl},\mathrm{div})$$-elliptic interface problem. Zbl 1268.65151
Duan, Huoyuan; Lin, Ping; Tan, Roger C. E.
2013
A delta-regularization finite element method for a double curl problem with divergence-free constraint. Zbl 1261.65116
Duan, Huoyuan; Li, Sha; Tan, Roger C. E.; Zheng, Weiying
2012
$$C ^{0}$$ elements for generalized indefinite Maxwell equations. Zbl 1250.78037
Duan, Huoyuan; Lin, Ping; Tan, Roger C. E.
2012
Analysis of a new stabilized finite element method for the reaction-convection-diffusion equations with a large reaction coefficient. Zbl 1352.65340
Duan, Huo-Yuan; Hsieh, Po-Wen; Tan, Roger C. E.; Yang, Suh-Yuh
2012
On the Poincaré-Friedrichs inequality for piecewise $$H^{1}$$ functions in anisotropic discontinuous Galerkin finite element methods. Zbl 1208.26023
Duan, Huo-Yuan; Tan, Roger C. E.
2011
The local $$L^2$$ projected $$C^0$$ finite element method for Maxwell problem. Zbl 1207.65137
Duan, Huo-Yuan; Jia, Feng; Lin, Ping; Tan, Roger C. E.
2009
Weighted Poincaré inequalities on symmetric convex domains. Zbl 1191.46028
Chua, Seng-Kee; Duan, Huo-Yuan
2009
Analysis of a least-squares finite element method for the thin plate problem. Zbl 1159.74037
Duan, Huo-Yuan; Gao, Shao-Qin; Jiang, Bo-Nan; Tan, Roger C. E.
2009
Negative norm least-squares methods for the incompressible magnetohydrodynamic equations. Zbl 1174.76020
Gao, Shaoqin; Duan, Huoyuan
2008
A least-squares finite element method for the magnetostatic problem in a multiply connected Lipschitz domain. Zbl 1153.78005
Duan, Huo-Yuan; Lin, Ping; Saikrishnan, P.; Tan, Roger C. E.
2007
A generalized BPX multigrid framework covering nonnested V-cycle methods. Zbl 1121.65126
Duan, Huo-Yuan; Gao, Shao-Qin; Tan, Roger C. E.; Zhang, Shangyou
2007
$$L^{2}$$-projected least-squares finite element methods for the Stokes equations. Zbl 1118.65119
Duan, Huo-yuan; Lin, Ping; Saikrishnan, P.; Tan, Roger C. E.
2006
Mixed finite elements of least-squares type for elasticity. Zbl 1091.74047
Duan, Huo-Yuan; Lin, Qun
2005
Nonconforming elements in least-squares mixed finite element methods. Zbl 1035.65124
Duan, Huo-Yuan; Liang, Guo-Ping
2004
A locking-free Reissner-Mindlin quadrilateral element. Zbl 1053.74042
Duan, Huoyuan; Liang, Guoping
2004
On the velocity-pressure-vorticity least-squares mixed finite element method for the 3D Stokes equations. Zbl 1058.65128
Duan, Huo-Yuan; Liang, Guo-Ping
2003
Mixed and nonconforming finite element approximations of Reissner-Mindlin plates. Zbl 1054.74051
Duan, Huo-Yuan; Liang, Guo-Ping
2003
A finite element method for singularly perturbed reaction-diffusion problems. Zbl 1033.65101
Duan, Huo-yuan; Zhang, Da-Li
2003
A new stabilized finite element method for solving the advection-diffusion equations. Zbl 0995.65120
Duan, Huoyuan
2002
An improved Reissner-Mindlin triangular element. Zbl 1131.74336
Duan, Huo-Yuan; Liang, Guo-Ping
2002
Analysis of some stabilized low-order mixed finite element methods for Reissner-Mindlin plates. Zbl 1041.74067
Duan, Huoyuan; Liang, Guoping
2001
A new stabilized finite element method for solving the Stokes and Navier-Stokes equations. II: The nonlinear case. Zbl 1136.65338
Duan, Huoyuan; Liang, Guoping
2001
A new stabilized finite element method for solving the Stokes and Navier-Stokes equations. I: The linear case. Zbl 1017.76042
Duan, Huoyuan; Liang, Guoping
2001
Nonconforming stabilized finite element methods based on Riesz-representing operators. Zbl 0951.65124
Duan, Huoyuan
1999
A technique for inverse estimation emanating from stabilized finite element methods. Zbl 0936.76028
Duan, Huoyuan
1998
Analysis of mixed finite elements stabilized by bubble functions. Zbl 0935.65121
Duan, Huoyuan
1998
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#### Cited by 135 Authors

 24 Duan, Huoyuan 9 Tan, Roger C. E. 7 Yang, Suh-Yuh 4 Anaya, Verónica 4 Hsieh, Po-Wen 4 Mora, David 4 Ruiz-Baier, Ricardo 4 Xie, Xiaoping 3 Liang, Guoping 3 Lin, Ping 2 Badia, Santiago 2 Chen, Long 2 Codina, Ramon 2 Du, Zhijie 2 Ganji, Davood Domiri 2 Hatami, Mohammad 2 He, Yinnian 2 Li, Binjie 2 Ma, Junhua 2 Mohapatra, Subhashree 2 Qiu, Fengjuan 2 You, Cheng-Shu 2 Zhang, Dali 2 Zhang, Shangyou 2 Zhang, Yarong 1 Antonietti, Paola Francesca 1 Arbogast, Todd 1 Beirão da Veiga, Lourenço 1 Bompadre, Agustín 1 Bonito, Andrea 1 Bouharguane, Afaf 1 Brezzi, Franco 1 Cen, Song 1 Chen, Gang 1 Chen, Hongbin 1 Chen, Mei-Chun 1 Christiansen, Snorre Harald 1 Chua, Seng-Kee 1 de Wijn, Zoa 1 Du, Shuaishuai 1 Feng, Minfu 1 Ganesan, Sashikumaar 1 Gatica, Gabriel N. 1 Gopalakrishnan, Jayadeep 1 Guermond, Jean-Luc 1 Guo, Yuanhui 1 Gupta, Vikas 1 Ha, Heonkyu 1 Hansbo, Peter 1 Hao, Yongle 1 Hatami, Mojtaba 1 He, Xiaoming 1 Henning, Patrick 1 Hu, Jun 1 Hu, Jun 1 Hu, Kaibo 1 Huang, Pengzhan 1 Husain, Akhlaq 1 Jog, Chandrashekhar S. 1 Kadalbajoo, Mohan K. 1 Kang, Fengdai 1 Kang, Tong 1 Kim, Sangdong 1 Larson, Mats G. 1 Lee, Eunjung 1 Li, Buyang 1 Li, Chun-Ting 1 Li, Furong 1 Li, Jingzhi 1 Libal, Tomer 1 Lin, Qun 1 Lin, Tao 1 Lin, Yanping 1 Liu, Wei 1 Liu, Wei 1 Liu, Wei 1 Luddens, Francky 1 Mahmood, Bewar A. 1 Marini, Luisa Donatella 1 Moleiro, F. 1 Mota Soares, Carlos A. 1 Mota Soares, Cristóvão M. 1 Nandy, Arup Kumar 1 Niu, Chunyan 1 Ohlberger, Mario 1 Ortiz, Michael 1 Oyarzúa, Ricardo 1 Paraskevopoulos, Elias A. 1 Pennesi, Giorgio 1 Perotti, Luigi E. 1 Petrolito, J. 1 Planas, Ramon 1 Polyzos, Demosthenes 1 Rashidi, Mohammad Mehdi 1 Reales, Carlos 1 Reddy, Junuthula Narasimha 1 Rostamian, Malihe 1 Russo, Alessandro 1 Seloula, Nour El Houda 1 Shahrezaee, Alimardan ...and 35 more Authors
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#### Cited in 35 Serials

 11 Computer Methods in Applied Mechanics and Engineering 7 SIAM Journal on Numerical Analysis 6 Journal of Computational and Applied Mathematics 5 Numerische Mathematik 5 Journal of Scientific Computing 4 Computers & Mathematics with Applications 3 Mathematics of Computation 3 Applied Mathematics and Computation 2 Journal of Computational Physics 2 Mathematical Methods in the Applied Sciences 2 Numerical Functional Analysis and Optimization 2 Acta Mathematicae Applicatae Sinica. English Series 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Mathematical Analysis and Applications 1 International Journal for Numerical Methods in Engineering 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 Science in China. Series A 1 Applications of Mathematics 1 International Journal of Computer Mathematics 1 SIAM Journal on Scientific Computing 1 Communications in Numerical Methods in Engineering 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Archives of Computational Methods in Engineering 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Boundary Value Problems 1 Science China. Mathematics 1 Journal of Mathematics and Computer Science. JMCS 1 International Journal of Structural Stability and Dynamics 1 SMAI Journal of Computational Mathematics
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#### Cited in 17 Fields

 63 Numerical analysis (65-XX) 29 Partial differential equations (35-XX) 20 Fluid mechanics (76-XX) 17 Mechanics of deformable solids (74-XX) 17 Optics, electromagnetic theory (78-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX)