## Xie, Xiaoping

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 Author ID: xie.xiaoping Published as: Xie, Xiaoping; Xie, XiaoPing; Xie, Xiao-ping; Xie, Xiao-Ping more...less
 Documents Indexed: 103 Publications since 1993 Co-Authors: 68 Co-Authors with 99 Joint Publications 2,887 Co-Co-Authors
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### Co-Authors

 2 single-authored 16 Li, Binjie 7 Du, Shaohong 7 Feng, Minfu 7 Wang, Tao 7 Yu, Guozhu 7 Zhou, Tianxiao 6 Hu, Bing 6 Wu, Yongke 6 Zhang, Shiquan 5 Chen, Gang 5 Luo, Hao 4 Chen, Yumei 4 He, Guoguang 3 Han, Yihui 3 Hu, Jinsong 3 Huang, Feiteng 3 Luo, Kun 3 Luo, Min 3 Xu, Jinchao 3 Xu, Xiaojing 3 Xu, Youcai 3 Yang, Chaochao 3 Zhu, Ping 2 Bai, Yanhong 2 Cao, Zhitong 2 Carstensen, Carsten 2 Chen, Hongping 2 Chen, Long 2 Fan, Wenwen 2 Guo, Yuanhui 2 Hu, Jiancheng 2 Wang, Yu 2 Zhang, Xu 2 Zheng, Xiaobo 1 Aihara, Kazuyuki 1 Cai, Rui 1 Cao, Rui 1 Chen, Huangxin 1 Chen, Sanping 1 Cheng, Leifeng 1 Cheng, Pan 1 Dai, Zhendong 1 Fang, Youtong 1 Han, Bo 1 Hu, Guanghui 1 Huang, Yunqing 1 Li, Hongliang 1 Li, Yang 1 Liang, Dongdong 1 Lu, Jinshu 1 Pi, Wei 1 Shatz, Sol M. 1 Sun, Shuyu 1 Wang, Desheng 1 Wang, Shaojie 1 Wang, Zhuchu 1 Weng, Xuchu 1 Wu, Xunwei 1 Xiong, Huaxing 1 Xu, Maoyuan 1 Xue, Guangri 1 Yang, Cheng 1 Yang, Yan 1 Yu, Zhengqin 1 Yuan, Hao 1 Zhang, Chensong 1 Zhang, Qihanyue 1 Zhang, Xiao 1 Zhao, Xiaohu
all top 5

### Serials

 15 Journal of Sichuan University. Natural Science Edition 9 Journal of Computational Mathematics 6 Journal of Scientific Computing 6 Science China. Mathematics 5 Journal of Computational and Applied Mathematics 5 Numerical Mathematics: Theory, Methods and Applications 4 Applied Mathematics and Computation 4 Numerical Methods for Partial Differential Equations 4 Communications in Numerical Methods in Engineering 4 Advances in Applied Mathematics and Mechanics 3 Computers & Mathematics with Applications 3 Computer Methods in Applied Mechanics and Engineering 3 Numerical Mathematics 3 Computational Methods in Applied Mathematics 3 East Asian Journal on Applied Mathematics 2 Physics Letters. A 2 International Journal for Numerical Methods in Engineering 2 SIAM Journal on Numerical Analysis 2 Applied Mathematics and Mechanics. (English Edition) 2 Discrete and Continuous Dynamical Systems. Series B 2 International Journal of Numerical Analysis and Modeling 2 Communications in Computational Physics 1 IMA Journal of Numerical Analysis 1 Numerische Mathematik 1 Journal of Hangzhou University. Natural Science Edition 1 Acta Physica Sinica 1 Science in China. Series A 1 Numerical Algorithms 1 Numerical Mathematics 1 Informatica (Ljubljana) 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Systems Science and Complexity 1 International Journal of Computational Methods 1 Advances in Mathematical Physics
all top 5

### Fields

 79 Numerical analysis (65-XX) 41 Mechanics of deformable solids (74-XX) 31 Partial differential equations (35-XX) 13 Fluid mechanics (76-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Computer science (68-XX) 4 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 3 Information and communication theory, circuits (94-XX) 2 Real functions (26-XX) 2 Systems theory; control (93-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

68 Publications have been cited 457 times in 307 Documents Cited by Year
Uniformly-stable finite element methods for Darcy-Stokes-Brinkman models. Zbl 1174.76013
Xie, Xiaoping; Xu, Jinchao; Xue, Guangri
2008
Robust globally divergence-free weak Galerkin methods for Stokes equations. Zbl 1389.76027
Chen, Gang; Feng, Minfu; Xie, Xiaoping
2016
Superconvergence and recovery type a posteriori error estimation for hybrid stress finite element method. Zbl 1388.74091
Bai, YanHong; Wu, YongKe; Xie, XiaoPing
2016
A robust WG finite element method for convection-diffusion-reaction equations. Zbl 1352.65336
Chen, Gang; Feng, Minfu; Xie, Xiaoping
2017
Analysis of a time-stepping scheme for time fractional diffusion problems with nonsmooth data. Zbl 1419.65066
Li, Binjie; Luo, Hao; Xie, Xiaoping
2019
A robust weak Galerkin finite element method for linear elasticity with strong symmetric stresses. Zbl 1360.74134
Chen, Gang; Xie, Xiaoping
2016
Optimization of stress modes by energy compatibility for 4-node hybrid quadrilaterals. Zbl 1047.74070
Xie, Xiaoping; Zhou, Tianxiao
2004
A two-level algorithm for the weak Galerkin discretization of diffusion problems. Zbl 1320.65177
Li, Binjie; Xie, Xiaoping
2015
Low order nonconforming rectangular finite element methods for Darcy-Stokes problems. Zbl 1212.65464
Zhang, Shiquan; Xie, Xiaoping; Chen, Yumei
2009
A posteriori error estimator for a weak Galerkin finite element solution of the Stokes problem. Zbl 1383.65134
Zheng, Xiaobo; Xie, Xiaoping
2017
A unified analysis for stress/strain hybrid methods of high performance. Zbl 1039.74052
Zhou, Tianxiao; Xie, Xiaoping
2002
Uniformly stable rectangular elements for fourth order elliptic singular perturbation problems. Zbl 1307.65170
Wang, Li; Wu, Yongke; Xie, Xiaoping
2013
A priori and a posteriori analysis for a locking-free low order quadrilateral hybrid finite element for Reissner-Mindlin plates. Zbl 1225.74081
Carstensen, Carsten; Xie, Xiaoping; Yu, Guozhu; Zhou, Tianxiao
2011
A time-spectral algorithm for fractional wave problems. Zbl 1407.65216
Li, Binjie; Luo, Hao; Xie, Xiaoping
2018
Uniform convergence and a posteriori error estimation for assumed stress hybrid finite element methods. Zbl 1230.74205
Yu, Guozhu; Xie, Xiaoping; Carstensen, Carsten
2011
Convergence analysis of a Petrov-Galerkin method for fractional wave problems with nonsmooth data. Zbl 1477.65161
Luo, Hao; Li, Binjie; Xie, Xiaoping
2019
Weak Galerkin finite element method for Biot’s consolidation problem. Zbl 1376.65128
Chen, Yumei; Chen, Gang; Xie, Xiaoping
2018
New mixed finite elements for plane elasticity and Stokes equations. Zbl 1235.74324
Xie, XiaoPing; Xu, JinChao
2011
Analysis of a family of HDG methods for second order elliptic problems. Zbl 1382.65412
Li, Binjie; Xie, Xiaoping
2016
A divergence-free weak Galerkin method for quasi-Newtonian Stokes flows. Zbl 1398.76131
Zheng, XiaoBo; Chen, Gang; Xie, XiaoPing
2017
Two conservative difference schemes for Rosenau-Kawahara equation. Zbl 1302.65191
Hu, Jinsong; Xu, Youcai; Hu, Bing; Xie, Xiaoping
2014
BPX preconditioner for nonstandard finite element methods for diffusion problems. Zbl 1337.65026
Li, Binjie; Xie, Xiaoping
2016
Zero energy-error mechanism of the combined hybrid method and improvement of Allman’s membrane element with drilling d.o.f.’s. Zbl 1118.74358
Zhou, Tian-Xiao; Xie, Xiao-Ping
2004
A modified nonconforming 5-node quadrilateral transition finite element. Zbl 1262.65153
Huang, Feiteng; Xie, Xiaoping
2010
An accurate hybrid macro-element with linear displacements. Zbl 1060.74066
Xie, Xiaoping
2005
Numerical analysis of two Galerkin discretizations with graded temporal grids for fractional evolution equations. Zbl 1456.65116
Li, Binjie; Wang, Tao; Xie, Xiaoping
2020
Residual-based a posteriori error estimates of nonconforming finite element method for elliptic problems with Dirac delta source terms. Zbl 1159.65089
Du, Shaohong; Xie, Xiaoping
2008
Accurate 4-node quadrilateral elements with a new version of energy-compatible stress mode. Zbl 1132.74046
Xie, Xiaoping; Zhou, Tianxiao
2008
Analysis of a time-stepping discontinuous Galerkin method for fractional diffusion-wave equations with nonsmooth data. Zbl 1435.65229
Li, Binjie; Wang, Tao; Xie, Xiaoping
2020
Mixed finite element analysis for dissipative SRLW equations with damping term. Zbl 1246.65183
Xu, Youcai; Hu, Bing; Xie, Xiaoping; Hu, Jinsong
2012
Robust globally divergence-free weak Galerkin finite element methods for unsteady natural convection problems. Zbl 1463.65296
Han, Yihui; Li, Hongliang; Xie, Xiaoping
2019
$$H$$(div) conforming finite element methods for the coupled Stokes and Darcy problem. Zbl 1322.76040
Chen, Yumei; Huang, Feiteng; Xie, Xiaoping
2011
Convergence of an adaptive mixed finite element method for convection-diffusion-reaction equations. Zbl 1338.65234
Du, ShaoHong; Xie, XiaoPing
2015
Semi-discrete and fully discrete hybrid stress finite element methods for elastodynamic problems. Zbl 1363.74080
Yu, Zhengqin; Xie, Xiaoping
2015
A combined hybrid finite element method for plate bending problems. Zbl 1052.74058
Zhou, Tianxiao; Xie, Xiaoping
2003
Convergence analysis of $$V$$-cycle multigrid methods for anisotropic elliptic equations. Zbl 1258.65093
Wu, Yongke; Chen, Long; Xie, Xiaoping; Xu, Jinchao
2012
Semi-discrete and fully discrete partial projection finite element methods for the vibrating Timoshenko beam. Zbl 0951.74062
Feng, Minfu; Xie, Xiaoping; Xiong, Huaxing
1999
Analysis of the L1 scheme for fractional wave equations with nonsmooth data. Zbl 07336193
Li, Binjie; Wang, Tao; Xie, Xiaoping
2021
Uniform convergence analysis of a higher order hybrid stress quadrilateral finite element method for linear elasticity problems. Zbl 1488.65605
Bai, Yanhong; Wu, Yongke; Xie, Xiaoping
2016
An interface-unfitted finite element method for elliptic interface optimal control problems. Zbl 1449.65328
Yang, Chaochao; Wang, Tao; Xie, Xiaoping
2019
Residual-based a posteriori error estimation for multipoint flux mixed finite element methods. Zbl 1380.65344
Du, Shaohong; Sun, Shuyu; Xie, Xiaoping
2016
On residual-based a posteriori error estimators for lowest-order Raviart-Thomas element approximation to convection-diffusion-reaction equations. Zbl 1324.65138
Du, Shaohong; Xie, Xiaoping
2014
From energy improvement to accuracy enhancement: Improvement of plate bending elements by the combined hybrid method. Zbl 1061.74053
Xie, Xiaoping
2004
A space-time finite element method for fractional wave problems. Zbl 1451.65149
Li, Binjie; Luo, Hao; Xie, Xiaoping
2020
Regularity of solutions to time fractional diffusion equations. Zbl 1428.35666
Li, Binjie; Xie, Xiaoping
2019
Analysis of a two-level algorithm for HDG methods for diffusion problems. Zbl 1388.65153
Li, Binjie; Xie, Xiaoping; Zhang, Shiquan
2016
A Nitsche-extended finite element method for distributed optimal control problems of elliptic interface equations. Zbl 1436.49006
Wang, Tao; Yang, Chaochao; Xie, Xiaoping
2020
Coarse-mesh-accuracy improvement of bilinear $$Q_4$$-plane element by the combined hybrid finite element method. Zbl 1145.74413
Xie, Xiaoping; Zhou, Tianxiao
2003
Energy-adjustable mechanism of the combined hybrid finite element method and improvement of Zienkiewicz’s plate-element. Zbl 1330.74112
Xie, Xiao-ping; Hu, Jian-cheng
2005
Learning-induced pattern classification in a chaotic neural network. Zbl 1255.35214
Li, Yang; Zhu, Ping; Xie, Xiaoping; He, Guoguang; Aihara, Kazuyuki
2012
Error reduction, convergence and optimality for adaptive mixed finite element methods for diffusion equations. Zbl 1274.65291
Du, Shaohong; Xie, Xiaoping
2012
Uniform analysis of a stabilized hybrid finite element method for Reissner-Mindlin plates. Zbl 1314.74060
Guo, Yuanhui; Yu, Guozhu; Xie, Xiaoping
2013
Hybrid stress finite volume method for linear elasticity problems. Zbl 1421.74106
Wu, Yongke; Xie, Xiaoping; Chen, Long
2013
Analysis of a temporal discretization for a semilinear fractional diffusion equation. Zbl 1454.65035
Li, Binjie; Wang, Tao; Xie, Xiaoping
2020
BPS preconditioners for a weak Galerkin finite element method for 2D diffusion problems with strongly discontinuous coefficients. Zbl 1428.65089
Li, Binjie; Xie, Xiaoping; Zhang, Shiquan
2018
A new smoothness result for Caputo-type fractional ordinary differential equations. Zbl 1428.34014
Li, Binjie; Xie, Xiaoping; Zhang, Shiquan
2019
Robust residual- and recovery-based a posteriori error estimators for a multipoint flux mixed finite element discretization of interface problems. Zbl 1418.65172
Du, Shaohong; Xie, Xiaoping; Cheng, Pan
2019
Adaptive tetrahedral mesh generation by constrained centroidal Voronoi-Delaunay tessellations for finite element methods. Zbl 1309.65144
Chen, Jie; Huang, Yunqing; Wang, Desheng; Xie, Xiaoping
2014
Parameter extension for combined hybrid finite element methods and application to plate bending problems. Zbl 1425.74287
Yu, Guozhu; Xie, Xiaoping; Zhang, Xu
2010
On choices of stress modes for lower order quadrilateral Reissner-Mindlin plate elements. Zbl 1098.74052
Hu, Guanghui; Xie, Xiaoping
2006
Robust globally divergence-free weak Galerkin finite element methods for natural convection problems. Zbl 07418048
Han, Yihui; Xie, Xiaoping
2019
An optimal embedded discontinuous Galerkin method for second-order elliptic problems. Zbl 1434.65288
Zhang, Xiao; Xie, Xiaoping; Zhang, Shiquan
2019
Sinusoidal modulation control method in a chaotic neural network. Zbl 07175088
Zhang, Qihanyue; Xie, Xiaoping; Zhu, Ping; Chen, Hongping; He, Guoguang
2014
Conservative Crank-Nicolson difference scheme for Rosenau-KdV equation. Zbl 1349.65302
Hu, Jinsong; Xie, Xiaoping; Hu, Bing; Xu, youcai
2015
Error reduction, convergence and optimality of an adaptive mixed finite element method. Zbl 1251.93059
Du, Shaohong; Xie, Xiaoping
2012
The space-time nonconforming finite element analysis for the vibration model of plane elasticity. Zbl 1265.74081
Cheng, Leifeng; Han, Bo; Xie, Xiaoping
2012
New convergence analysis for assumed stress hybrid quadrilateral finite element method. Zbl 1439.74440
Li, Binjie; Xie, Xiaoping; Zhang, Shiquan
2017
Simulation and optimization of nonlinear structures on low frequency vibration and noise of lightweight car body. Zbl 07446885
Xie, X. P.; Chai, T.; Sun, Q.
2021
Analysis of the L1 scheme for fractional wave equations with nonsmooth data. Zbl 07336193
Li, Binjie; Wang, Tao; Xie, Xiaoping
2021
Simulation and optimization of nonlinear structures on low frequency vibration and noise of lightweight car body. Zbl 07446885
Xie, X. P.; Chai, T.; Sun, Q.
2021
Numerical analysis of two Galerkin discretizations with graded temporal grids for fractional evolution equations. Zbl 1456.65116
Li, Binjie; Wang, Tao; Xie, Xiaoping
2020
Analysis of a time-stepping discontinuous Galerkin method for fractional diffusion-wave equations with nonsmooth data. Zbl 1435.65229
Li, Binjie; Wang, Tao; Xie, Xiaoping
2020
A space-time finite element method for fractional wave problems. Zbl 1451.65149
Li, Binjie; Luo, Hao; Xie, Xiaoping
2020
A Nitsche-extended finite element method for distributed optimal control problems of elliptic interface equations. Zbl 1436.49006
Wang, Tao; Yang, Chaochao; Xie, Xiaoping
2020
Analysis of a temporal discretization for a semilinear fractional diffusion equation. Zbl 1454.65035
Li, Binjie; Wang, Tao; Xie, Xiaoping
2020
Analysis of a time-stepping scheme for time fractional diffusion problems with nonsmooth data. Zbl 1419.65066
Li, Binjie; Luo, Hao; Xie, Xiaoping
2019
Convergence analysis of a Petrov-Galerkin method for fractional wave problems with nonsmooth data. Zbl 1477.65161
Luo, Hao; Li, Binjie; Xie, Xiaoping
2019
Robust globally divergence-free weak Galerkin finite element methods for unsteady natural convection problems. Zbl 1463.65296
Han, Yihui; Li, Hongliang; Xie, Xiaoping
2019
An interface-unfitted finite element method for elliptic interface optimal control problems. Zbl 1449.65328
Yang, Chaochao; Wang, Tao; Xie, Xiaoping
2019
Regularity of solutions to time fractional diffusion equations. Zbl 1428.35666
Li, Binjie; Xie, Xiaoping
2019
A new smoothness result for Caputo-type fractional ordinary differential equations. Zbl 1428.34014
Li, Binjie; Xie, Xiaoping; Zhang, Shiquan
2019
Robust residual- and recovery-based a posteriori error estimators for a multipoint flux mixed finite element discretization of interface problems. Zbl 1418.65172
Du, Shaohong; Xie, Xiaoping; Cheng, Pan
2019
Robust globally divergence-free weak Galerkin finite element methods for natural convection problems. Zbl 07418048
Han, Yihui; Xie, Xiaoping
2019
An optimal embedded discontinuous Galerkin method for second-order elliptic problems. Zbl 1434.65288
Zhang, Xiao; Xie, Xiaoping; Zhang, Shiquan
2019
A time-spectral algorithm for fractional wave problems. Zbl 1407.65216
Li, Binjie; Luo, Hao; Xie, Xiaoping
2018
Weak Galerkin finite element method for Biot’s consolidation problem. Zbl 1376.65128
Chen, Yumei; Chen, Gang; Xie, Xiaoping
2018
BPS preconditioners for a weak Galerkin finite element method for 2D diffusion problems with strongly discontinuous coefficients. Zbl 1428.65089
Li, Binjie; Xie, Xiaoping; Zhang, Shiquan
2018
A robust WG finite element method for convection-diffusion-reaction equations. Zbl 1352.65336
Chen, Gang; Feng, Minfu; Xie, Xiaoping
2017
A posteriori error estimator for a weak Galerkin finite element solution of the Stokes problem. Zbl 1383.65134
Zheng, Xiaobo; Xie, Xiaoping
2017
A divergence-free weak Galerkin method for quasi-Newtonian Stokes flows. Zbl 1398.76131
Zheng, XiaoBo; Chen, Gang; Xie, XiaoPing
2017
New convergence analysis for assumed stress hybrid quadrilateral finite element method. Zbl 1439.74440
Li, Binjie; Xie, Xiaoping; Zhang, Shiquan
2017
Robust globally divergence-free weak Galerkin methods for Stokes equations. Zbl 1389.76027
Chen, Gang; Feng, Minfu; Xie, Xiaoping
2016
Superconvergence and recovery type a posteriori error estimation for hybrid stress finite element method. Zbl 1388.74091
Bai, YanHong; Wu, YongKe; Xie, XiaoPing
2016
A robust weak Galerkin finite element method for linear elasticity with strong symmetric stresses. Zbl 1360.74134
Chen, Gang; Xie, Xiaoping
2016
Analysis of a family of HDG methods for second order elliptic problems. Zbl 1382.65412
Li, Binjie; Xie, Xiaoping
2016
BPX preconditioner for nonstandard finite element methods for diffusion problems. Zbl 1337.65026
Li, Binjie; Xie, Xiaoping
2016
Uniform convergence analysis of a higher order hybrid stress quadrilateral finite element method for linear elasticity problems. Zbl 1488.65605
Bai, Yanhong; Wu, Yongke; Xie, Xiaoping
2016
Residual-based a posteriori error estimation for multipoint flux mixed finite element methods. Zbl 1380.65344
Du, Shaohong; Sun, Shuyu; Xie, Xiaoping
2016
Analysis of a two-level algorithm for HDG methods for diffusion problems. Zbl 1388.65153
Li, Binjie; Xie, Xiaoping; Zhang, Shiquan
2016
A two-level algorithm for the weak Galerkin discretization of diffusion problems. Zbl 1320.65177
Li, Binjie; Xie, Xiaoping
2015
Convergence of an adaptive mixed finite element method for convection-diffusion-reaction equations. Zbl 1338.65234
Du, ShaoHong; Xie, XiaoPing
2015
Semi-discrete and fully discrete hybrid stress finite element methods for elastodynamic problems. Zbl 1363.74080
Yu, Zhengqin; Xie, Xiaoping
2015
Conservative Crank-Nicolson difference scheme for Rosenau-KdV equation. Zbl 1349.65302
Hu, Jinsong; Xie, Xiaoping; Hu, Bing; Xu, youcai
2015
Two conservative difference schemes for Rosenau-Kawahara equation. Zbl 1302.65191
Hu, Jinsong; Xu, Youcai; Hu, Bing; Xie, Xiaoping
2014
On residual-based a posteriori error estimators for lowest-order Raviart-Thomas element approximation to convection-diffusion-reaction equations. Zbl 1324.65138
Du, Shaohong; Xie, Xiaoping
2014
Adaptive tetrahedral mesh generation by constrained centroidal Voronoi-Delaunay tessellations for finite element methods. Zbl 1309.65144
Chen, Jie; Huang, Yunqing; Wang, Desheng; Xie, Xiaoping
2014
Sinusoidal modulation control method in a chaotic neural network. Zbl 07175088
Zhang, Qihanyue; Xie, Xiaoping; Zhu, Ping; Chen, Hongping; He, Guoguang
2014
Uniformly stable rectangular elements for fourth order elliptic singular perturbation problems. Zbl 1307.65170
Wang, Li; Wu, Yongke; Xie, Xiaoping
2013
Uniform analysis of a stabilized hybrid finite element method for Reissner-Mindlin plates. Zbl 1314.74060
Guo, Yuanhui; Yu, Guozhu; Xie, Xiaoping
2013
Hybrid stress finite volume method for linear elasticity problems. Zbl 1421.74106
Wu, Yongke; Xie, Xiaoping; Chen, Long
2013
Mixed finite element analysis for dissipative SRLW equations with damping term. Zbl 1246.65183
Xu, Youcai; Hu, Bing; Xie, Xiaoping; Hu, Jinsong
2012
Convergence analysis of $$V$$-cycle multigrid methods for anisotropic elliptic equations. Zbl 1258.65093
Wu, Yongke; Chen, Long; Xie, Xiaoping; Xu, Jinchao
2012
Learning-induced pattern classification in a chaotic neural network. Zbl 1255.35214
Li, Yang; Zhu, Ping; Xie, Xiaoping; He, Guoguang; Aihara, Kazuyuki
2012
Error reduction, convergence and optimality for adaptive mixed finite element methods for diffusion equations. Zbl 1274.65291
Du, Shaohong; Xie, Xiaoping
2012
Error reduction, convergence and optimality of an adaptive mixed finite element method. Zbl 1251.93059
Du, Shaohong; Xie, Xiaoping
2012
The space-time nonconforming finite element analysis for the vibration model of plane elasticity. Zbl 1265.74081
Cheng, Leifeng; Han, Bo; Xie, Xiaoping
2012
A priori and a posteriori analysis for a locking-free low order quadrilateral hybrid finite element for Reissner-Mindlin plates. Zbl 1225.74081
Carstensen, Carsten; Xie, Xiaoping; Yu, Guozhu; Zhou, Tianxiao
2011
Uniform convergence and a posteriori error estimation for assumed stress hybrid finite element methods. Zbl 1230.74205
Yu, Guozhu; Xie, Xiaoping; Carstensen, Carsten
2011
New mixed finite elements for plane elasticity and Stokes equations. Zbl 1235.74324
Xie, XiaoPing; Xu, JinChao
2011
$$H$$(div) conforming finite element methods for the coupled Stokes and Darcy problem. Zbl 1322.76040
Chen, Yumei; Huang, Feiteng; Xie, Xiaoping
2011
A modified nonconforming 5-node quadrilateral transition finite element. Zbl 1262.65153
Huang, Feiteng; Xie, Xiaoping
2010
Parameter extension for combined hybrid finite element methods and application to plate bending problems. Zbl 1425.74287
Yu, Guozhu; Xie, Xiaoping; Zhang, Xu
2010
Low order nonconforming rectangular finite element methods for Darcy-Stokes problems. Zbl 1212.65464
Zhang, Shiquan; Xie, Xiaoping; Chen, Yumei
2009
Uniformly-stable finite element methods for Darcy-Stokes-Brinkman models. Zbl 1174.76013
Xie, Xiaoping; Xu, Jinchao; Xue, Guangri
2008
Residual-based a posteriori error estimates of nonconforming finite element method for elliptic problems with Dirac delta source terms. Zbl 1159.65089
Du, Shaohong; Xie, Xiaoping
2008
Accurate 4-node quadrilateral elements with a new version of energy-compatible stress mode. Zbl 1132.74046
Xie, Xiaoping; Zhou, Tianxiao
2008
On choices of stress modes for lower order quadrilateral Reissner-Mindlin plate elements. Zbl 1098.74052
Hu, Guanghui; Xie, Xiaoping
2006
An accurate hybrid macro-element with linear displacements. Zbl 1060.74066
Xie, Xiaoping
2005
Energy-adjustable mechanism of the combined hybrid finite element method and improvement of Zienkiewicz’s plate-element. Zbl 1330.74112
Xie, Xiao-ping; Hu, Jian-cheng
2005
Optimization of stress modes by energy compatibility for 4-node hybrid quadrilaterals. Zbl 1047.74070
Xie, Xiaoping; Zhou, Tianxiao
2004
Zero energy-error mechanism of the combined hybrid method and improvement of Allman’s membrane element with drilling d.o.f.’s. Zbl 1118.74358
Zhou, Tian-Xiao; Xie, Xiao-Ping
2004
From energy improvement to accuracy enhancement: Improvement of plate bending elements by the combined hybrid method. Zbl 1061.74053
Xie, Xiaoping
2004
A combined hybrid finite element method for plate bending problems. Zbl 1052.74058
Zhou, Tianxiao; Xie, Xiaoping
2003
Coarse-mesh-accuracy improvement of bilinear $$Q_4$$-plane element by the combined hybrid finite element method. Zbl 1145.74413
Xie, Xiaoping; Zhou, Tianxiao
2003
A unified analysis for stress/strain hybrid methods of high performance. Zbl 1039.74052
Zhou, Tianxiao; Xie, Xiaoping
2002
Semi-discrete and fully discrete partial projection finite element methods for the vibrating Timoshenko beam. Zbl 0951.74062
Feng, Minfu; Xie, Xiaoping; Xiong, Huaxing
1999
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### Cited by 473 Authors

 39 Xie, Xiaoping 12 Li, Binjie 11 Feng, Minfu 9 Zhang, Shangyou 8 Chen, Ching-Shyang 8 Chen, Gang 8 Gatica, Gabriel N. 7 Chen, Shaochun 7 Du, Shaohong 7 Ye, Xiu 7 Yu, Guozhu 7 Zhao, Jikun 6 Chen, Long 6 Zhai, Qilong 6 Zhang, Tie 5 Carstensen, Carsten 5 Dehghan Takht Fooladi, Mehdi 5 Gharibi, Zeinab 5 Hu, Jun 5 Huang, Xuehai 5 Oyarzúa, Ricardo 5 Wang, Junping 5 Xu, Jinchao 5 Zhang, Ran 5 Zhang, Shiquan 5 Zhang, Yangwen 5 Zheng, Xiangcheng 5 Zhou, Tianxiao 4 Dangal, Thir 4 He, Xiaoming 4 Lin, Runchang 4 Luo, Hao 4 Meng, Zhaoliang 4 Mu, Lin 4 Neilan, Michael 4 Nie, Yufeng 4 Shi, Zhongci 4 Singler, John R. 4 Wang, Hong 4 Wang, Tao 4 Yang, Xiaofeng 4 Zhang, Bei 4 Zhang, Zhimin 3 Chen, Jinru 3 Chen, Yanping 3 Fu, Guosheng 3 Gunzburger, Max D. 3 Han, Yihui 3 He, Dongdong 3 Huang, Peiqi 3 Huang, Yunqing 3 Jia, Jinhong 3 Karageorghis, Andreas 3 Li, Fule 3 Lin, Tao 3 Liu, Gui-Rong 3 Luo, Zhongxuan 3 Nguyen-Thoi, Trung 3 Ruiz-Baier, Ricardo 3 Sayas, Francisco-Javier 3 Wang, Ruishu 3 Wang, Xiaoshen 3 Wu, Yongke 3 Xie, Hehu 3 Xu, Shipeng 3 Yang, Yan 3 Yotov, Ivan 3 Zhang, Baiju 3 Zhao, Jia 3 Zheng, Hui 3 Zheng, Xiaobo 3 Zhou, Xinchen 2 Abbaszadeh, Mostafa 2 Bai, Yanhong 2 Bösing, Paulo Rafael 2 Braack, Malte 2 Cai, Mingchao 2 Cao, Yanzhao 2 Chang, Wanru 2 Chen, Hongru 2 Chen, Huangxin 2 Chen, Yumei 2 Chen, Zhangxin 2 Dangskul, Supreedee 2 Dong, Lina 2 Dou, Fangfang 2 Fan, Xin 2 Gao, Yali 2 Guo, Yuling 2 Hong, Qingguo 2 Hu, Weiwei 2 Huang, Jianguo 2 Jia, Shanghui 2 John, Volker 2 Lam, Khin-Yong 2 Layton, William J. 2 Li, Dongfang 2 Li, Guanrong 2 Li, Shuguang 2 Liu, Xiaoyan ...and 373 more Authors
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### Cited in 70 Serials

 31 Journal of Computational and Applied Mathematics 30 Journal of Scientific Computing 18 Computer Methods in Applied Mechanics and Engineering 18 Applied Numerical Mathematics 16 Computers & Mathematics with Applications 15 Applied Mathematics and Computation 12 Numerische Mathematik 11 SIAM Journal on Numerical Analysis 11 Advances in Applied Mathematics and Mechanics 9 Communications in Computational Physics 9 Science China. Mathematics 8 Mathematics of Computation 8 Advances in Computational Mathematics 6 Numerical Methods for Partial Differential Equations 5 Communications in Numerical Methods in Engineering 5 Engineering Analysis with Boundary Elements 5 Mathematical Problems in Engineering 5 Computational Methods in Applied Mathematics 4 Journal of Computational Physics 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Journal of Mathematical Analysis and Applications 3 Mathematics and Computers in Simulation 3 Journal of Computational Mathematics 3 Computational Mechanics 3 International Journal of Computer Mathematics 3 Computational Geosciences 3 Discrete and Continuous Dynamical Systems. Series B 3 International Journal of Computational Methods 3 Numerical Mathematics: Theory, Methods and Applications 3 East Asian Journal on Applied Mathematics 2 Applicable Analysis 2 Acta Mathematicae Applicatae Sinica. English Series 2 Numerical Algorithms 2 Computational and Applied Mathematics 2 Nonlinear Dynamics 2 Journal of Applied Mathematics and Computing 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 BIT 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Numerical Functional Analysis and Optimization 1 Mathematica Numerica Sinica 1 Applied Mathematics and Mechanics. (English Edition) 1 Applied Mathematics Letters 1 Neural Networks 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Review 1 Continuum Mechanics and Thermodynamics 1 SIAM Journal on Scientific Computing 1 Numerical Linear Algebra with Applications 1 ETNA. Electronic Transactions on Numerical Analysis 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. A. Solids 1 European Journal of Mechanics. B. Fluids 1 Lobachevskii Journal of Mathematics 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Thai Journal of Mathematics 1 Frontiers of Mathematics in China 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 International Journal of Numerical Methods and Applications 1 ISRN Computational Mathematics 1 Evolution Equations and Control Theory 1 AIMS Mathematics 1 SMAI Journal of Computational Mathematics
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### Cited in 22 Fields

 275 Numerical analysis (65-XX) 115 Partial differential equations (35-XX) 92 Fluid mechanics (76-XX) 77 Mechanics of deformable solids (74-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Real functions (26-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Probability theory and stochastic processes (60-XX) 3 Potential theory (31-XX) 3 Ordinary differential equations (34-XX) 3 Systems theory; control (93-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX)