Ye, Xiu

Compute Distance To:
 Author ID: ye.xiu Published as: Ye, Xiu; Ye, X. Homepage: https://sites.google.com/a/ualr.edu/xiu-ye2/home External Links: MGP
 Documents Indexed: 132 Publications since 1992 1 Contribution as Editor Co-Authors: 46 Co-Authors with 117 Joint Publications 1,882 Co-Co-Authors
all top 5

Co-Authors

 13 single-authored 42 Zhang, Shangyou 39 Mu, Lin 39 Wang, Junping 10 Wang, Yanqiu 7 Cai, Zhiqiang 6 Zhu, Peng 5 Wang, Xiaoshen 4 Hall, Charles Allan 4 Hu, Xiaozhe 4 Liu, Jiangguo 3 Cui, Ming 3 Douglas, Jim jun. 3 Zhang, Ran 3 Zhao, Shan 2 Chen, Long 2 Chou, So-Hsiang 2 Jari, Rabeea 2 Layton, William J. 2 Li, Hengguang 2 Lin, Runchang 2 Santos, Juan Enrique 2 Sheen, Dongwoo 2 Wang, Ruishu 2 Zhai, Qilong 2 Zhang, Zhimin 1 Adler, James H. 1 Gao, Fuzheng 1 He, Xiaoming 1 Lazarov, Raytcho D. 1 Li, Jian 1 Li, Jichun 1 Lin, Guang 1 Lin, Tao 1 Lin, Yanping 1 Pankavich, Stephen 1 Parashkevov, Rossen R. 1 Russell, Thomas F. 1 Van Vleck, Erik S. 1 Wang, Chunmei 1 Wang, Zhu 1 Wei, Guowei 1 Wilson, John David 1 Xu, Chaoyong 1 Zhang, Huilong 1 Zhang, Shun 1 Zhu, Yunrong
all top 5

Serials

 23 Journal of Computational and Applied Mathematics 12 International Journal of Numerical Analysis and Modeling 11 Numerical Methods for Partial Differential Equations 10 SIAM Journal on Numerical Analysis 7 Computers & Mathematics with Applications 6 Journal of Computational Physics 6 Applied Mathematics and Computation 5 Journal of Scientific Computing 5 Advances in Computational Mathematics 4 Applied Numerical Mathematics 4 SIAM Journal on Scientific Computing 3 Applied Mathematics Letters 3 Numerical Algorithms 3 East Asian Journal on Applied Mathematics 2 Calcolo 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications in Computational Physics 2 Communications on Applied Mathematics and Computation 2 Electronic Research Archive 2 Results in Applied Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 International Journal for Numerical Methods in Engineering 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Mathematica Numerica Sinica 1 Journal of Computational Mathematics 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Numerical Linear Algebra with Applications 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Journal of Numerical Mathematics 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Applied Mathematics and Mechanics 1 Journal of Applied Analysis and Computation
all top 5

Fields

 116 Numerical analysis (65-XX) 79 Partial differential equations (35-XX) 55 Fluid mechanics (76-XX) 9 Mechanics of deformable solids (74-XX) 2 Potential theory (31-XX) 1 General and overarching topics; collections (00-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX)

Citations contained in zbMATH Open

114 Publications have been cited 2,780 times in 1,000 Documents Cited by Year
A weak Galerkin finite element method for second-order elliptic problems. Zbl 1261.65121
Wang, Junping; Ye, Xiu
2013
A weak Galerkin mixed finite element method for second order elliptic problems. Zbl 1308.65202
Wang, Junping; Ye, Xiu
2014
A weak Galerkin finite element method for the Stokes equations. Zbl 1382.76178
Wang, Junping; Ye, Xiu
2016
Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes. Zbl 1314.65151
Mu, Lin; Wang, Junping; Ye, Xiu
2014
Weak Galerkin finite element methods on polytopal meshes. Zbl 1332.65172
Mu, Lin; Wang, Junping; Ye, Xiu
2015
A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
2015
Weak Galerkin methods for second order elliptic interface problems. Zbl 1349.65472
Mu, Lin; Wang, Junping; Wei, Guowei; Ye, Xiu; Zhao, Shan
2013
Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems. Zbl 0941.65115
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Ye, Xiu
1999
A weak Galerkin finite element method with polynomial reduction. Zbl 1315.65099
Mu, Lin; Wang, Junping; Ye, Xiu
2015
A computational study of the weak Galerkin method for second-order elliptic equations. Zbl 1271.65140
Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu
2013
Discontinuous Galerkin finite element methods for interface problems: a priori and a posteriori error estimations. Zbl 1232.65142
Cai, Zhiqiang; Ye, Xiu; Zhang, Shun
2011
On the relationship between finite volume and finite element methods applied to the Stokes equations. Zbl 1017.76057
Ye, Xiu
2001
A new weak Galerkin finite element method for elliptic interface problems. Zbl 1380.65383
Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan
2016
A new weak Galerkin finite element method for the Helmholtz equation. Zbl 1323.65116
Mu, Lin; Wang, Junping; Ye, Xiu
2015
A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier-Stokes equations. Zbl 0947.76047
Cai, Zhiqiang; Douglas, Jim jun.; Ye, Xiu
1999
A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods. Zbl 1351.76072
Mu, Lin; Wang, Junping; Ye, Xiu
2014
A $$C^0$$-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
2014
A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems. Zbl 1307.65153
Chen, Long; Wang, Junping; Ye, Xiu
2014
A modified weak Galerkin finite element method for the Stokes equations. Zbl 1310.65148
Mu, Lin; Wang, Xiaoshen; Ye, Xiu
2015
A weak Galerkin mixed finite element method for biharmonic equations. Zbl 1283.65109
Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu
2013
Unified analysis of finite volume methods for second order elliptic problems. Zbl 1155.65099
Chou, So-Hsiang; Ye, Xiu
2007
A weak Galerkin finite element method for singularly perturbed convection-diffusion-reaction problems. Zbl 1448.65239
Lin, Runchang; Ye, Xiu; Zhang, Shangyou; Zhu, Peng
2018
New finite element methods in computational fluid dynamics by $$H(\mathrm{div})$$ elements. Zbl 1138.76049
Wang, Junping; Ye, Xiu
2007
A discontinuous finite volume method for the Stokes problems. Zbl 1112.65125
Ye, Xiu
2006
A new discontinuous finite volume method for elliptic problems. Zbl 1079.65116
Ye, Xiu
2004
Superconvergence of finite element approximations for the Stokes problem by projection methods. Zbl 1002.65118
Wang, Junping; Ye, Xiu
2001
Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity. Zbl 1349.76234
Lin, Guang; Liu, Jiangguo; Mu, Lin; Ye, Xiu
2014
A numerical study on the weak Galerkin method for the Helmholtz equation. Zbl 1388.65156
Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan
2014
Superconvergence of nonconforming finite element method for the Stokes equations. Zbl 1003.65121
Ye, Xiu
2002
Unified analysis of finite volume methods for the Stokes equations. Zbl 1305.76061
Cui, Ming; Ye, Xiu
2010
Nonconforming quadrilateral finite elements: a correction. Zbl 1012.65124
Cai, Z.; Douglas, J. jun.; Santos, J. E.; Sheen, D.; Ye, X.
2000
A robust numerical method for Stokes equations based on divergence-free $$H$$(div) finite element methods. Zbl 1407.76074
Wang, Junping; Wang, Yanqiu; Ye, Xiu
2009
A stabilizer-free weak Galerkin finite element method on polytopal meshes. Zbl 1434.65285
Ye, Xiu; Zhang, Shangyou
2020
Superconvergence of finite volume methods for the second-order elliptic problem. Zbl 1173.65354
Chou, So-Hsiang; Ye, Xiu
2007
Two-level discretizations of the stream function form of the Navier-Stokes equations. Zbl 0972.76059
Layton, W.; Ye, X.
1999
A weak Galerkin finite element method for the Navier-Stokes equations. Zbl 1422.65389
Hu, Xiaozhe; Mu, Lin; Ye, Xiu
2019
An adaptive discontinuous finite volume method for elliptic problems. Zbl 1227.65101
Liu, Jiangguo; Mu, Lin; Ye, Xiu
2011
A mixed nonconforming finite element for linear elasticity. Zbl 1076.74053
Cai, Zhiqiang; Ye, Xiu
2005
A conforming discontinuous Galerkin finite element method. II. Zbl 1465.65151
Ye, Xiu; Zhang, Shangyou
2020
Unified a posteriori error estimator for finite element methods for the Stokes equations. Zbl 1452.76059
Wang, Junping; Wang, Yanqiu; Ye, Xiu
2013
Weak Galerkin method for the Biot’s consolidation model. Zbl 1409.76063
Hu, Xiaozhe; Mu, Lin; Ye, Xiu
2018
A conforming discontinuous Galerkin finite element method. Zbl 1465.65150
Ye, Xiu; Zhang, Shangyou
2020
A posteriori error estimate for stabilized finite element methods for the Stokes equations. Zbl 1431.76093
Wang, Junping; Wang, Yanqiu; Ye, Xiu
2012
Convergence of the discontinuous finite volume method for elliptic problems with minimal regularity. Zbl 1257.65061
Liu, Jiangguo; Mu, Lin; Ye, Xiu; Jari, Rabeea
2012
Superconvergence of finite volume methods for the Stokes equations. Zbl 1170.76037
Cui, Ming; Ye, Xiu
2009
A posterior error estimate for finite volume methods of the second order elliptic problem. Zbl 1227.65104
Ye, Xiu
2011
A rectangular element for the Reissner-Mindlin plate. Zbl 0959.74076
Ye, Xiu
2000
Stabilized discontinuous finite element approximations for Stokes equations. Zbl 1101.76035
Lazarov, Raytcho; Ye, Xiu
2007
A hybridized formulation for the weak Galerkin mixed finite element method. Zbl 1338.76063
Mu, Lin; Wang, Junping; Ye, Xiu
2016
Construction of null bases for the divergence operator associated with incompressible Navier-Stokes equations. Zbl 0765.76063
Hall, Charles A.; Ye, Xiu
1992
A weak Galerkin finite element scheme with boundary continuity for second-order elliptic problems. Zbl 1397.65297
Zhai, Qilong; Ye, Xiu; Wang, Ruishu; Zhang, Ran
2017
Interior penalty discontinuous Galerkin method on very general polygonal and polyhedral meshes. Zbl 1291.65347
Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu
2014
A discrete divergence-free basis for finite element methods. Zbl 0903.76055
Ye, Xiu; Hall, Charles A.
1997
Finite element methods for the Navier-Stokes equations by $$H$$(div) elements. Zbl 1174.76012
Wang, Junping; Wang, Xiaoshen; Ye, Xiu
2008
A least-squares-based weak Galerkin finite element method for second order elliptic equations. Zbl 1404.65233
Mu, Lin; Wang, Junping; Ye, Xiu
2017
Two-grid discretizations with backtracking of the stream function form of the Navier-Stokes equations. Zbl 0924.76048
Ye, X.
1999
An auxiliary space multigrid preconditioner for the weak Galerkin method. Zbl 1443.65319
Chen, Long; Wang, Junping; Wang, Yanqiu; Ye, Xiu
2015
A unified a posteriori error estimator for finite volume methods for the Stokes equations. Zbl 1453.65392
Wang, Junping; Wang, Yanqiu; Ye, Xiu
2018
A discrete divergence free weak Galerkin finite element method for the Stokes equations. Zbl 1378.76051
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
2018
Analysis and convergence of finite volume method using discontinuous bilinear functions. Zbl 1133.65091
Ye, Xiu
2008
A stabilizer free weak Galerkin method for the biharmonic equation on polytopal meshes. Zbl 1452.65362
Ye, Xiu; Zhang, Shangyou
2020
Least-squares finite element approximations for the Reissner-Mindlin plate. Zbl 0982.74062
Chai, Zhiqiang; Ye, Xiu; Zhang, Huilong
1999
Basics of weak Galerkin finite element methods. Zbl 1374.65196
Wang, Junping; Ye, Xiu; Zhang, Ran
2016
A posteriori error estimates for finite volume method based on bilinear trial functions for the elliptic equation. Zbl 1290.65101
Lin, Tao; Ye, Xiu
2013
Stabilizer-free weak Galerkin methods for monotone quasilinear elliptic PDEs. Zbl 1451.65207
Ye, Xiu; Zhang, Shangyou; Zhu, Yunrong
2020
A new $$P_1$$ weak Galerkin method for the biharmonic equation. Zbl 1427.65342
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin
2020
A simple finite element method for the Stokes equations. Zbl 1380.76043
Mu, Lin; Ye, Xiu
2017
A stabilizer-free, pressure-robust, and superconvergence weak Galerkin finite element method for the Stokes equations on polytopal mesh. Zbl 1486.65259
Mu, Lin; Ye, Xiu; Zhang, Shangyou
2021
A simple finite element method for linear hyperbolic problems. Zbl 1376.65129
Mu, Lin; Ye, Xiu
2018
A least-squares finite element approximation for the compressible Stokes equations. Zbl 0965.76039
Cai, Zhiqiang; Ye, Xiu
2000
Superconvergence analysis for the Navier-Stokes equations. Zbl 1034.76034
Wang, Xiaoshen; Ye, Xiu
2002
Effective implementation of the weak Galerkin finite element methods for the biharmonic equation. Zbl 1397.65283
Mu, Lin; Wang, Junping; Ye, Xiu
2017
An a posteriori error estimator for the weak Galerkin least-squares finite-element method. Zbl 1422.65364
Adler, James H.; Hu, Xiaozhe; Mu, Lin; Ye, Xiu
2019
Domain decomposition for a mixed finite element method in three dimensions. Zbl 1057.65095
Cai, Z.; Parashkevov, R. R.; Russell, T. F.; Wilson, J. D.; Ye, X.
2003
A discontinuous Galerkin method for the Reissner-Mindlin plate in the primitive variables. Zbl 1044.74045
Ye, Xiu; Xu, Chaoyong
2004
A finite volume method for solving Navier-Stokes problems. Zbl 1270.76042
Mu, Lin; Ye, Xiu
2011
A posteriori error estimation for an interior penalty type method employing $$H(\text{div})$$ elements for the Stokes equations. Zbl 1261.76017
Wang, Junping; Wang, Yanqiu; Ye, Xiu
2011
A simple finite element method for non-divergence form elliptic equations. Zbl 1416.65459
Mu, Lin; Ye, Xiu
2017
Discrete maximum principle for the $$P_{1}$$-$$P_{0}$$ weak Galerkin finite element approximations. Zbl 1395.65146
Wang, Junping; Ye, Xiu; Zhai, Qilong; Zhang, Ran
2018
Interior energy error estimates for the weak Galerkin finite element method. Zbl 1447.65154
Li, Hengguang; Mu, Lin; Ye, Xiu
2018
The construction of a null basis for a discrete divergence operator. Zbl 0831.76048
Ye, Xiu; Hall, Charles A.
1995
A weak Galerkin least-squares finite element method for div-curl systems. Zbl 1398.65306
Li, Jichun; Ye, Xiu; Zhang, Shangyou
2018
Development of a $${P}_2$$ element with optimal $${L}^2$$ convergence for biharmonic equation. Zbl 1418.65181
Mu, Lin; Ye, Xiu; Zhang, Shangyou
2019
Discontinuous stable elements for the incompressible flow. Zbl 1040.76039
Ye, Xiu
2004
A weak Galerkin method for the Reissner-Mindlin plate in primary form. Zbl 1398.65273
Mu, Lin; Wang, Junping; Ye, Xiu
2018
A weak Galerkin generalized multiscale finite element method. Zbl 1337.65156
Mu, Lin; Wang, Junping; Ye, Xiu
2016
A simple finite element method of the Cauchy problem for Poisson equation. Zbl 1380.65372
Hu, Xiaozhe; Mu, Lin; Ye, Xiu
2017
A posteriori error estimates for the weak Galerkin finite element methods on polytopal meshes. Zbl 1473.65268
Li, Hengguang; Mu, Lin; Ye, Xiu
2019
Nonconforming two-level discretization of stream function form of the Navier-Stokes equations. Zbl 0906.76035
Layton, W.; Ye, X.
1998
Stabilized finite element approximations for the Reissner-Mindlin plate. Zbl 1050.74050
Ye, Xiu
2000
Domain decomposition for a least-square finite element method for second order elliptic problem. Zbl 0942.65136
Ye, X.
1998
A superconvergent finite element scheme for the Reissner-Mindlin plate by projection methods. Zbl 1085.74047
Wang, Junping; Ye, Xiu
2004
$$L_2$$ error estimation for DGFEM for elliptic problems with low regularity. Zbl 1252.65184
Liu, Jiangguo; Mu, Lin; Ye, Xiu
2012
Superconvergence of $$H(div)$$ finite element approximations for the Stokes problem by $$L^2$$-projection methods. Zbl 1282.76122
Jari, Rabeea; Mu, Lin; Ye, Xiu
2013
A least-square mixed method for Stokes equations. Zbl 0879.65069
Shi, P.; Ye, X.
1997
Superconvergence by $$L^2$$-projections for stabilized finite element methods for the Stokes equations. Zbl 07485193
Li, Jian; Wang, Junping; Ye, Xiu
2009
A conforming discontinuous Galerkin finite element method. III. Zbl 1484.65308
Ye, Xiu; Zhang, Shangyou
2020
A stabilizer free weak Galerkin finite element method on polytopal mesh. II. Zbl 1475.65205
Ye, Xiu; Zhang, Shangyou
2021
A stabilizer free weak Galerkin finite element method on polytopal mesh. III. Zbl 1475.65172
Ye, Xiu; Zhang, Shangyou
2021
The construction of an optimal weakly divergence-free macroelement. Zbl 0780.76046
Ye, Xiu; Hall, Charles A.
1993
Achieving superconvergence by one-dimensional discontinuous finite elements: weak Galerkin method. Zbl 1485.65124
Ye, Xiu; Zhang, Shangyou
2022
A stabilizer-free, pressure-robust, and superconvergence weak Galerkin finite element method for the Stokes equations on polytopal mesh. Zbl 1486.65259
Mu, Lin; Ye, Xiu; Zhang, Shangyou
2021
A stabilizer free weak Galerkin finite element method on polytopal mesh. II. Zbl 1475.65205
Ye, Xiu; Zhang, Shangyou
2021
A stabilizer free weak Galerkin finite element method on polytopal mesh. III. Zbl 1475.65172
Ye, Xiu; Zhang, Shangyou
2021
A stabilizer-free pressure-robust finite element method for the Stokes equations. Zbl 1473.65323
Ye, Xiu; Zhang, Shangyou
2021
A stabilizer free WG method for the Stokes equations with order two superconvergence on polytopal mesh. Zbl 1490.65292
Ye, Xiu; Zhang, Shangyou
2021
A $$P_{k + 2}$$ polynomial lifting operator on polygons and polyhedrons. Zbl 1468.65208
Ye, Xiu; Zhang, Shangyou
2021
De Rham complexes for weak Galerkin finite element spaces. Zbl 1476.65310
Wang, Chunmei; Wang, Junping; Ye, Xiu; Zhang, Shangyou
2021
A numerical scheme with divergence free $$H$$-$$\operatorname{div}$$ triangular finite element for the Stokes equations. Zbl 1476.65312
Ye, Xiu; Zhang, Shangyou
2021
Low regularity error analysis for weak Galerkin finite element methods for second order elliptic problems. Zbl 1488.65668
Ye, Xiu; Zhang, Shangyou
2021
Development of pressure-robust discontinuous Galerkin finite element methods for the Stokes problem. Zbl 1490.65284
Mu, Lin; Ye, Xiu; Zhang, Shangyou
2021
A stabilizer-free weak Galerkin finite element method on polytopal meshes. Zbl 1434.65285
Ye, Xiu; Zhang, Shangyou
2020
A conforming discontinuous Galerkin finite element method. II. Zbl 1465.65151
Ye, Xiu; Zhang, Shangyou
2020
A conforming discontinuous Galerkin finite element method. Zbl 1465.65150
Ye, Xiu; Zhang, Shangyou
2020
A stabilizer free weak Galerkin method for the biharmonic equation on polytopal meshes. Zbl 1452.65362
Ye, Xiu; Zhang, Shangyou
2020
Stabilizer-free weak Galerkin methods for monotone quasilinear elliptic PDEs. Zbl 1451.65207
Ye, Xiu; Zhang, Shangyou; Zhu, Yunrong
2020
A new $$P_1$$ weak Galerkin method for the biharmonic equation. Zbl 1427.65342
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin
2020
A conforming discontinuous Galerkin finite element method. III. Zbl 1484.65308
Ye, Xiu; Zhang, Shangyou
2020
A locking-free weak Galerkin finite element method for Reissner-Mindlin plate on polygonal meshes. Zbl 1447.65167
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin
2020
Numerical investigation on weak Galerkin finite elements. Zbl 1488.65656
Wang, Junping; Ye, Xiu; Zhang, Shangyou
2020
A weak Galerkin finite element method for the Navier-Stokes equations. Zbl 1422.65389
Hu, Xiaozhe; Mu, Lin; Ye, Xiu
2019
An a posteriori error estimator for the weak Galerkin least-squares finite-element method. Zbl 1422.65364
Adler, James H.; Hu, Xiaozhe; Mu, Lin; Ye, Xiu
2019
Development of a $${P}_2$$ element with optimal $${L}^2$$ convergence for biharmonic equation. Zbl 1418.65181
Mu, Lin; Ye, Xiu; Zhang, Shangyou
2019
A posteriori error estimates for the weak Galerkin finite element methods on polytopal meshes. Zbl 1473.65268
Li, Hengguang; Mu, Lin; Ye, Xiu
2019
A locking free Reissner-Mindlin element with weak Galerkin rotations. Zbl 1407.65301
Wang, Ruishu; Mu, Lin; Ye, Xiu
2019
A weak Galerkin finite element method for singularly perturbed convection-diffusion-reaction problems. Zbl 1448.65239
Lin, Runchang; Ye, Xiu; Zhang, Shangyou; Zhu, Peng
2018
Weak Galerkin method for the Biot’s consolidation model. Zbl 1409.76063
Hu, Xiaozhe; Mu, Lin; Ye, Xiu
2018
A unified a posteriori error estimator for finite volume methods for the Stokes equations. Zbl 1453.65392
Wang, Junping; Wang, Yanqiu; Ye, Xiu
2018
A discrete divergence free weak Galerkin finite element method for the Stokes equations. Zbl 1378.76051
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
2018
A simple finite element method for linear hyperbolic problems. Zbl 1376.65129
Mu, Lin; Ye, Xiu
2018
Discrete maximum principle for the $$P_{1}$$-$$P_{0}$$ weak Galerkin finite element approximations. Zbl 1395.65146
Wang, Junping; Ye, Xiu; Zhai, Qilong; Zhang, Ran
2018
Interior energy error estimates for the weak Galerkin finite element method. Zbl 1447.65154
Li, Hengguang; Mu, Lin; Ye, Xiu
2018
A weak Galerkin least-squares finite element method for div-curl systems. Zbl 1398.65306
Li, Jichun; Ye, Xiu; Zhang, Shangyou
2018
A weak Galerkin method for the Reissner-Mindlin plate in primary form. Zbl 1398.65273
Mu, Lin; Wang, Junping; Ye, Xiu
2018
A weak Galerkin finite element scheme with boundary continuity for second-order elliptic problems. Zbl 1397.65297
Zhai, Qilong; Ye, Xiu; Wang, Ruishu; Zhang, Ran
2017
A least-squares-based weak Galerkin finite element method for second order elliptic equations. Zbl 1404.65233
Mu, Lin; Wang, Junping; Ye, Xiu
2017
A simple finite element method for the Stokes equations. Zbl 1380.76043
Mu, Lin; Ye, Xiu
2017
Effective implementation of the weak Galerkin finite element methods for the biharmonic equation. Zbl 1397.65283
Mu, Lin; Wang, Junping; Ye, Xiu
2017
A simple finite element method for non-divergence form elliptic equations. Zbl 1416.65459
Mu, Lin; Ye, Xiu
2017
A simple finite element method of the Cauchy problem for Poisson equation. Zbl 1380.65372
Hu, Xiaozhe; Mu, Lin; Ye, Xiu
2017
A weak Galerkin finite element method for the Stokes equations. Zbl 1382.76178
Wang, Junping; Ye, Xiu
2016
A new weak Galerkin finite element method for elliptic interface problems. Zbl 1380.65383
Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan
2016
A hybridized formulation for the weak Galerkin mixed finite element method. Zbl 1338.76063
Mu, Lin; Wang, Junping; Ye, Xiu
2016
Basics of weak Galerkin finite element methods. Zbl 1374.65196
Wang, Junping; Ye, Xiu; Zhang, Ran
2016
A weak Galerkin generalized multiscale finite element method. Zbl 1337.65156
Mu, Lin; Wang, Junping; Ye, Xiu
2016
Weak Galerkin finite element methods on polytopal meshes. Zbl 1332.65172
Mu, Lin; Wang, Junping; Ye, Xiu
2015
A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
2015
A weak Galerkin finite element method with polynomial reduction. Zbl 1315.65099
Mu, Lin; Wang, Junping; Ye, Xiu
2015
A new weak Galerkin finite element method for the Helmholtz equation. Zbl 1323.65116
Mu, Lin; Wang, Junping; Ye, Xiu
2015
A modified weak Galerkin finite element method for the Stokes equations. Zbl 1310.65148
Mu, Lin; Wang, Xiaoshen; Ye, Xiu
2015
An auxiliary space multigrid preconditioner for the weak Galerkin method. Zbl 1443.65319
Chen, Long; Wang, Junping; Wang, Yanqiu; Ye, Xiu
2015
A weak Galerkin mixed finite element method for second order elliptic problems. Zbl 1308.65202
Wang, Junping; Ye, Xiu
2014
Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes. Zbl 1314.65151
Mu, Lin; Wang, Junping; Ye, Xiu
2014
A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods. Zbl 1351.76072
Mu, Lin; Wang, Junping; Ye, Xiu
2014
A $$C^0$$-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
2014
A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems. Zbl 1307.65153
Chen, Long; Wang, Junping; Ye, Xiu
2014
Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity. Zbl 1349.76234
Lin, Guang; Liu, Jiangguo; Mu, Lin; Ye, Xiu
2014
A numerical study on the weak Galerkin method for the Helmholtz equation. Zbl 1388.65156
Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan
2014
Interior penalty discontinuous Galerkin method on very general polygonal and polyhedral meshes. Zbl 1291.65347
Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu
2014
A weak Galerkin finite element method for second-order elliptic problems. Zbl 1261.65121
Wang, Junping; Ye, Xiu
2013
Weak Galerkin methods for second order elliptic interface problems. Zbl 1349.65472
Mu, Lin; Wang, Junping; Wei, Guowei; Ye, Xiu; Zhao, Shan
2013
A computational study of the weak Galerkin method for second-order elliptic equations. Zbl 1271.65140
Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu
2013
A weak Galerkin mixed finite element method for biharmonic equations. Zbl 1283.65109
Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu
2013
Unified a posteriori error estimator for finite element methods for the Stokes equations. Zbl 1452.76059
Wang, Junping; Wang, Yanqiu; Ye, Xiu
2013
A posteriori error estimates for finite volume method based on bilinear trial functions for the elliptic equation. Zbl 1290.65101
Lin, Tao; Ye, Xiu
2013
Superconvergence of $$H(div)$$ finite element approximations for the Stokes problem by $$L^2$$-projection methods. Zbl 1282.76122
Jari, Rabeea; Mu, Lin; Ye, Xiu
2013
A posteriori error estimate for stabilized finite element methods for the Stokes equations. Zbl 1431.76093
Wang, Junping; Wang, Yanqiu; Ye, Xiu
2012
Convergence of the discontinuous finite volume method for elliptic problems with minimal regularity. Zbl 1257.65061
Liu, Jiangguo; Mu, Lin; Ye, Xiu; Jari, Rabeea
2012
$$L_2$$ error estimation for DGFEM for elliptic problems with low regularity. Zbl 1252.65184
Liu, Jiangguo; Mu, Lin; Ye, Xiu
2012
Discontinuous Galerkin finite element methods for interface problems: a priori and a posteriori error estimations. Zbl 1232.65142
Cai, Zhiqiang; Ye, Xiu; Zhang, Shun
2011
An adaptive discontinuous finite volume method for elliptic problems. Zbl 1227.65101
Liu, Jiangguo; Mu, Lin; Ye, Xiu
2011
A posterior error estimate for finite volume methods of the second order elliptic problem. Zbl 1227.65104
Ye, Xiu
2011
A finite volume method for solving Navier-Stokes problems. Zbl 1270.76042
Mu, Lin; Ye, Xiu
2011
A posteriori error estimation for an interior penalty type method employing $$H(\text{div})$$ elements for the Stokes equations. Zbl 1261.76017
Wang, Junping; Wang, Yanqiu; Ye, Xiu
2011
Unified analysis of finite volume methods for the Stokes equations. Zbl 1305.76061
Cui, Ming; Ye, Xiu
2010
A new finite volume method for the Stokes problems. Zbl 07485206
Wang, Junping; Wang, Yanqiu; Ye, Xiu
2010
A robust numerical method for Stokes equations based on divergence-free $$H$$(div) finite element methods. Zbl 1407.76074
Wang, Junping; Wang, Yanqiu; Ye, Xiu
2009
Superconvergence of finite volume methods for the Stokes equations. Zbl 1170.76037
Cui, Ming; Ye, Xiu
2009
Superconvergence by $$L^2$$-projections for stabilized finite element methods for the Stokes equations. Zbl 07485193
Li, Jian; Wang, Junping; Ye, Xiu
2009
Finite element methods for the Navier-Stokes equations by $$H$$(div) elements. Zbl 1174.76012
Wang, Junping; Wang, Xiaoshen; Ye, Xiu
2008
Analysis and convergence of finite volume method using discontinuous bilinear functions. Zbl 1133.65091
Ye, Xiu
2008
Unified analysis of finite volume methods for second order elliptic problems. Zbl 1155.65099
Chou, So-Hsiang; Ye, Xiu
2007
New finite element methods in computational fluid dynamics by $$H(\mathrm{div})$$ elements. Zbl 1138.76049
Wang, Junping; Ye, Xiu
2007
Superconvergence of finite volume methods for the second-order elliptic problem. Zbl 1173.65354
Chou, So-Hsiang; Ye, Xiu
2007
Stabilized discontinuous finite element approximations for Stokes equations. Zbl 1101.76035
Lazarov, Raytcho; Ye, Xiu
2007
A discontinuous finite volume method for the Stokes problems. Zbl 1112.65125
Ye, Xiu
2006
A mixed nonconforming finite element for linear elasticity. Zbl 1076.74053
Cai, Zhiqiang; Ye, Xiu
2005
A new discontinuous finite volume method for elliptic problems. Zbl 1079.65116
Ye, Xiu
2004
A discontinuous Galerkin method for the Reissner-Mindlin plate in the primitive variables. Zbl 1044.74045
Ye, Xiu; Xu, Chaoyong
2004
Discontinuous stable elements for the incompressible flow. Zbl 1040.76039
Ye, Xiu
2004
A superconvergent finite element scheme for the Reissner-Mindlin plate by projection methods. Zbl 1085.74047
Wang, Junping; Ye, Xiu
2004
Domain decomposition for a mixed finite element method in three dimensions. Zbl 1057.65095
Cai, Z.; Parashkevov, R. R.; Russell, T. F.; Wilson, J. D.; Ye, X.
2003
Superconvergence of nonconforming finite element method for the Stokes equations. Zbl 1003.65121
Ye, Xiu
2002
Superconvergence analysis for the Navier-Stokes equations. Zbl 1034.76034
Wang, Xiaoshen; Ye, Xiu
2002
On the relationship between finite volume and finite element methods applied to the Stokes equations. Zbl 1017.76057
Ye, Xiu
2001
Superconvergence of finite element approximations for the Stokes problem by projection methods. Zbl 1002.65118
Wang, Junping; Ye, Xiu
2001
Nonconforming quadrilateral finite elements: a correction. Zbl 1012.65124
Cai, Z.; Douglas, J. jun.; Santos, J. E.; Sheen, D.; Ye, X.
2000
A rectangular element for the Reissner-Mindlin plate. Zbl 0959.74076
Ye, Xiu
2000
A least-squares finite element approximation for the compressible Stokes equations. Zbl 0965.76039
Cai, Zhiqiang; Ye, Xiu
2000
Stabilized finite element approximations for the Reissner-Mindlin plate. Zbl 1050.74050
Ye, Xiu
2000
...and 14 more Documents
all top 5

Cited by 1,072 Authors

 83 Ye, Xiu 57 Zhang, Shangyou 50 Mu, Lin 42 Wang, Junping 28 Li, Jian 26 Shi, Dongyang 24 Wang, Chunmei 23 Zhai, Qilong 22 Wang, Xiaoshen 21 Chen, Zhangxin 21 Zhang, Ran 19 Feng, Minfu 19 Zhang, Tie 18 He, Yinnian 18 Liu, Jiangguo 18 Zhang, Zhimin 17 Huang, Yunqing 14 Di Pietro, Daniele Antonio 14 Sheen, Dongwoo 14 Yang, Min 13 Ern, Alexandre 13 Gao, Fuzheng 13 Li, Jichun 13 Xie, Xiaoping 13 Zhu, Peng 12 Chen, Long 12 Kumar, Sarvesh 12 Wang, Ruishu 12 Wang, Yanqiu 10 Guan, Hongbo 10 Ruiz-Baier, Ricardo 10 Zhang, Shun 10 Zou, Qingsong 9 Li, Yonghai 9 Luo, Zhendong 9 Santos, Juan Enrique 9 Wang, Xiuli 9 Zhao, Lina 9 Zhao, Xin 8 Cai, Zhiqiang 8 Cao, Waixiang 8 Dehghan Takht Fooladi, Mehdi 8 Hu, Jun 8 Huang, Pengzhan 8 Hussain, Saqib 8 Lin, Tao 8 Luo, Zhongxuan 8 Meng, Zhaoliang 8 Park, Eun-Jae 8 Shi, Zhongci 8 Song, Lunji 8 Zhang, Kai 8 Zhao, Shan 7 Al-Taweel, Ahmed 7 Chen, Chuanjun 7 Deka, Bhupen 7 Feng, Xinlong 7 Mao, Shipeng 7 Tavener, Simon J. 7 Wang, Gang 7 Xu, Jinchao 6 Beirão da Veiga, Lourenço 6 Bi, Chunjia 6 Cangiani, Andrea 6 Carstensen, Carsten 6 Chen, Shaochun 6 Chen, Yanping 6 Cui, Jintao 6 Droniou, Jérôme 6 Gharibi, Zeinab 6 Hu, Xiaozhe 6 Jari, Rabeea 6 Lin, Yanping 6 Liu, Kaifang 6 Sandilya, Ruchi 6 Wang, Cheng 6 Xie, Hehu 6 Yuan, Guangwei 6 Zou, Yongkui 5 Chai, Shimin 5 Chen, Gang 5 Chen, Wenbin 5 Chen, Yanli 5 Chung, Tsz Shun Eric 5 Cockburn, Bernardo 5 Cui, Ming 5 Georgoulis, Emmanuil H. 5 Han, Danfu 5 He, Cuiyu 5 Huang, Jianguo 5 Huang, Xuehai 5 Jing, Feifei 5 Lai, Mingjun 5 Li, Minghao 5 Li, Zhilin 5 Liu, Huipo 5 Liu, Yujie 5 Manzini, Gianmarco 5 Nie, Yufeng 5 Ren, Jincheng ...and 972 more Authors
all top 5

Cited in 120 Serials

 131 Journal of Computational and Applied Mathematics 78 Journal of Scientific Computing 70 Computers & Mathematics with Applications 50 Applied Numerical Mathematics 49 Applied Mathematics and Computation 45 Computer Methods in Applied Mechanics and Engineering 42 Numerical Methods for Partial Differential Equations 36 Journal of Computational Physics 35 SIAM Journal on Numerical Analysis 29 Advances in Computational Mathematics 23 Mathematics of Computation 20 Numerische Mathematik 18 Advances in Applied Mathematics and Mechanics 16 Communications in Computational Physics 15 SIAM Journal on Scientific Computing 15 Computational and Applied Mathematics 15 International Journal of Numerical Analysis and Modeling 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Science China. Mathematics 11 Calcolo 11 Applied Mathematics Letters 11 Discrete and Continuous Dynamical Systems. Series B 10 Mathematical Problems in Engineering 9 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 9 International Journal of Computer Mathematics 9 Computational Methods in Applied Mathematics 8 Numerical Algorithms 8 Electronic Research Archive 7 Mathematical Methods in the Applied Sciences 7 Engineering Analysis with Boundary Elements 6 Mathematics and Computers in Simulation 6 Applications of Mathematics 6 International Journal of Computational Methods 5 Journal of Mathematical Analysis and Applications 5 Applied Mathematics and Mechanics. (English Edition) 5 Journal of Computational Mathematics 5 Computational Geosciences 5 East Asian Journal on Applied Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Numerical Mathematics 4 Communications on Applied Mathematics and Computation 4 Results in Applied Mathematics 3 BIT 3 International Journal for Numerical Methods in Engineering 3 Numerical Functional Analysis and Optimization 3 Acta Mathematicae Applicatae Sinica. English Series 3 Science in China. Series A 3 Applied Mathematics. Series B (English Edition) 3 Abstract and Applied Analysis 3 Journal of Applied Mathematics 3 Journal of Applied Mathematics and Computing 3 Advances in Difference Equations 3 Frontiers of Mathematics in China 3 Advances in Numerical Analysis 3 Journal of Applied Analysis and Computation 3 AIMS Mathematics 2 Applicable Analysis 2 Computers and Fluids 2 International Journal of Control 2 Computing 2 Computational Mechanics 2 Applied Mathematical Modelling 2 Journal of Inequalities and Applications 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 International Journal of Engineering Science 1 International Journal for Numerical Methods in Fluids 1 Journal of Fluid Mechanics 1 Wave Motion 1 Chaos, Solitons and Fractals 1 Journal of the Korean Mathematical Society 1 Mathematica Numerica Sinica 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Computer Aided Geometric Design 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Integral Equations and Applications 1 Machine Learning 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Review 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 The Journal of Analysis 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Taiwanese Journal of Mathematics 1 Discrete Dynamics in Nature and Society 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Engineering Computations 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 The ANZIAM Journal 1 Foundations of Computational Mathematics 1 Journal of Systems Science and Complexity 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series ...and 20 more Serials
all top 5

Cited in 32 Fields

 930 Numerical analysis (65-XX) 491 Partial differential equations (35-XX) 336 Fluid mechanics (76-XX) 117 Mechanics of deformable solids (74-XX) 30 Optics, electromagnetic theory (78-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 11 Biology and other natural sciences (92-XX) 10 Potential theory (31-XX) 9 Integral equations (45-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Computer science (68-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Geophysics (86-XX) 7 Systems theory; control (93-XX) 5 Probability theory and stochastic processes (60-XX) 4 Real functions (26-XX) 4 Functional analysis (46-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Operations research, mathematical programming (90-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX)