## Wang, Junping

Compute Distance To:
 Author ID: wang.junping Published as: Wang, Junping; Wang, J. Homepage: https://www.nsf.gov/staff/staff_bio.jsp?lan=jwang&org=NSF External Links: MGP · ResearchGate
 Documents Indexed: 115 Publications since 1984 Co-Authors: 49 Co-Authors with 96 Joint Publications 1,972 Co-Co-Authors
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### Co-Authors

 8 single-authored 39 Ye, Xiu 19 Mu, Lin 16 Ewing, Richard Edward 11 Wang, Chunmei 10 Wang, Yanqiu 6 Lin, Yanping 6 Zhang, Ran 6 Zhang, Shangyou 4 Douglas, Jim jun. 4 Vassilevski, Panayot Spirov 3 Badea, Lori 3 Lin, Qun 3 Liu, Yujie 3 Luh, Peter B. 3 Zhai, Qilong 3 Zhang, Shuhua 3 Zhao, Shan 2 Bramble, James H. 2 Chen, Long 2 Mathew, Tarek P. A. 2 Pasciak, Joseph E. 2 Tai, Xuecheng 2 Wang, Ruishu 2 Weekes, Suzanne L. 2 Wu, Sizhuo 2 Xu, Jinchao 2 Yang, Yongjun 1 Chen, Benito M. 1 Chen, Hongsen 1 Daw, N. A. 1 Duran, R. 1 Fairweather, Graeme 1 Heimsund, Bjørn-Ove 1 Husson, S. M. 1 Jenkins, Eleanor W. 1 Kafafy, R. 1 Krotscheck, Eckhard 1 Lazarov, Raytcho D. 1 Leme, P. J. Paes 1 Li, Dan 1 Li, Qiaoluan Helen 1 Lin, Tao 1 Liu, Michael M. 1 Liu, Mingjun 1 Luan, Mingyi 1 Nochetto, Ricardo Horacio 1 Qi, Wenya 1 Roberts, Jean Elizabeth 1 Schatz, Alfred H. 1 Seshaiyer, Padmanabhan 1 Shen, Jian 1 Sun, Tong 1 Underwood, Robert G. 1 Wang, Xiaoshen 1 Wei, Guowei 1 Wilson, A. B. 1 Wo, Shaochang 1 Xia, Zhijie 1 Yang, Xiaozhong 1 Yao, Kui 1 Yao, Songbai 1 Zhang, Shujie 1 Zou, Qingsong
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### Serials

 17 SIAM Journal on Numerical Analysis 10 Mathematics of Computation 10 Journal of Computational and Applied Mathematics 9 International Journal of Numerical Analysis and Modeling 6 Journal of Scientific Computing 5 Journal of Computational Physics 5 SIAM Journal on Scientific Computing 4 Computers & Mathematics with Applications 4 Numerische Mathematik 3 Applied Numerical Mathematics 3 Numerical Methods for Partial Differential Equations 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Numerical Linear Algebra with Applications 2 Journal of Hefei University of Technology. Natural Science 1 IMA Journal of Numerical Analysis 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. B 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Journal of Optimization Theory and Applications 1 Mathematica Numerica Sinica 1 Journal of Computational Mathematics 1 Journal of Systems Science and Mathematical Sciences 1 Mathematical and Computer Modelling 1 Acta Mathematica Universitatis Comenianae. New Series 1 Numerical Algorithms 1 Computational and Applied Mathematics 1 Fractals 1 Advances in Computational Mathematics 1 European Journal of Control 1 Journal of Mathematical Study 1 Combustion Theory and Modelling 1 Nonlinear Analysis. Real World Applications 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Communications in Computational Physics 1 Scientia Sinica. Mathematica 1 Electronic Research Archive 1 Results in Applied Mathematics
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### Fields

 98 Numerical analysis (65-XX) 79 Partial differential equations (35-XX) 31 Fluid mechanics (76-XX) 5 Mechanics of deformable solids (74-XX) 5 Operations research, mathematical programming (90-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Integral equations (45-XX) 1 Measure and integration (28-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

102 Publications have been cited 2,877 times in 1,303 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
An absolutely stabilized finite element method for the Stokes problem. Zbl 0669.76051
Douglas, Jim jun.; Wang, Junping
1989
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
Weak Galerkin methods for second order elliptic interface problems. Zbl 1349.65472
Mu, Lin; Wang, Junping; Wei, Guowei; Ye, Xiu; Zhao, Shan
2013
A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
2015
Convergence estimates for multigrid algorithms without regularity assumptions. Zbl 0727.65101
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao
1991
Convergence estimates for product iterative methods with applications to domain decomposition. Zbl 0754.65085
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao
1991
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
Superconvergence of the velocity along the Gauss lines in mixed finite element methods. Zbl 0733.65065
Ewing, R. E.; Lazarov, R. D.; Wang, J.
1991
An efficient numerical scheme for the biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes. Zbl 1361.35058
Wang, Chunmei; Wang, Junping
2014
A new weak Galerkin finite element method for the Helmholtz equation. Zbl 1323.65116
Mu, Lin; Wang, Junping; 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
A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods. Zbl 1351.76072
Mu, Lin; Wang, Junping; Ye, Xiu
2014
Three-dimensional immersed finite element methods for electric field simulation in composite materials. Zbl 1122.78018
Kafafy, R.; Lin, T.; Lin, Y.; Wang, J.
2005
Weak Galerkin finite element methods for parabolic equations. Zbl 1307.65133
Li, Qiaoluan H.; Wang, Junping
2013
A new weak Galerkin finite element method for elliptic interface problems. Zbl 1380.65383
Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan
2016
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 $$C^0$$-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
2014
New finite element methods in computational fluid dynamics by $$H(\mathrm{div})$$ elements. Zbl 1138.76049
Wang, Junping; Ye, Xiu
2007
Superconvergence of finite element approximations for the Stokes problem by projection methods. Zbl 1002.65118
Wang, Junping; Ye, Xiu
2001
A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods. Zbl 0813.65122
Douglas, J. jun.; Leme, P. J. Paes; Roberts, J. E.; Wang, Junping
1993
Superconvergence of mixed finite element approximations over quadrilaterals. Zbl 0926.65107
Ewing, Richard E.; Liu, Michael M.; Wang, Junping
1998
A locking-free weak Galerkin finite element method for elasticity problems in the primal formulation. Zbl 1338.74104
Wang, Chunmei; Wang, Junping; Wang, Ruishu; Zhang, Ran
2016
A numerical study on the weak Galerkin method for the Helmholtz equation. Zbl 1388.65156
Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan
2014
Some new error estimates for Ritz-Galerkin methods with minimal regularity assumptions. Zbl 0856.65129
Schatz, Alfred H.; Wang, Junping
1996
A primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form. Zbl 1380.65390
Wang, Chunmei; Wang, Junping
2018
Superconvergence analysis for finite element solutions by the least-squares surface fitting on irregular meshes for smooth problems. Zbl 0987.65108
Wang, Junping
2000
Sharp L$$^{2}$$-error estimates and superconvergence of mixed finite element methods for non-Fickian flows in porous media. Zbl 1044.76032
Ewing, Richard E.; Lin, Yanping; Sun, Tong; Wang, Junping; Zhang, Shuhua
2002
Analysis of the Schwarz algorithm for mixed finite elements methods. Zbl 0765.65104
Ewing, R. E.; Wang, J.
1992
Surrogate gradient algorithm for Lagrangian relaxation. Zbl 0949.90065
Zhao, X.; Luh, Peter B.; Wang, J.
1999
Multilevel iterative methods for mixed finite element discretizations of elliptic problems. Zbl 0797.65086
Vassilevski, Panayot S.; Wang, Junping
1992
Domain decomposition operator splittings for the solution of parabolic equations. Zbl 0914.65099
Mathew, T. P.; Polyakov, P. L.; Russo, G.; Wang, J.
1998
Superconvergence for the gradient of finite element approximations by L$$^{2}$$ projections. Zbl 1047.65095
Heimsund, Bjørn-Ove; Tai, Xue-Cheng; Wang, Junping
2002
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
Convergence rate analysis of a multiplicative Schwarz method for variational inequalities. Zbl 1052.65058
Badea, Lori; Tai, Xue-Cheng; Wang, Junping
2003
Mixed finite element methods over quadrilaterals. Zbl 0813.65120
Wang, Junping; Mathew, Tarek
1994
Sharp maximum norm error estimates for finite element approximations of the Stokes problem in 2-D. Zbl 0699.76038
Durán, R.; Nochetto, R. H.; Wang, Junping
1988
Asymptotic expansions and $$L^{\infty}$$-error estimates for mixed finite element methods for second order elliptic problems. Zbl 0676.65109
Wang, Junping
1989
Maximum principles for $$P_1$$-conforming finite element approximations of quasi-linear second order elliptic equations. Zbl 1250.65144
Wang, Junping; Zhang, Ran
2012
An additive Schwarz method for variational inequalities. Zbl 0954.65051
2000
Superconvergence of mixed finite element methods on rectangular domains. Zbl 0714.65084
Douglas, Jim jun.; Wang, Junping
1989
An application of the abstract multilevel theory to nonconforming finite element methods. Zbl 0828.65125
Vassilevski, Panayot S.; Wang, Junping
1995
$$L^\infty$$-error estimates and superconvergence in maximum norm of mixed finite element methods for nonfickian flows in porous media. Zbl 1151.76594
Ewing, Richard E.; Lin, Yanping; Wang, Junping; Zhang, Shuhua
2005
Asymptotic expansions and Richardson extrapolation of approximate solutions for second order elliptic problems on rectangular domains by mixed finite element methods. Zbl 1388.76359
Fairweather, Graeme; Lin, Qun; Lin, Yanping; Wang, Junping; Zhang, Shuhua
2006
A hybridized weak Galerkin finite element method for the biharmonic equation. Zbl 1337.65160
Wang, Chunmei; Wang, Junping
2015
Unified a posteriori error estimator for finite element methods for the Stokes equations. Zbl 1452.76059
Wang, Junping; Wang, Yanqiu; Ye, Xiu
2013
A stabilized discontinuous finite element method for elliptic problems. Zbl 1071.65551
Ewing, Richard E.; Wang, Junping; Yang, Yongjun
2003
Analysis of multilevel decomposition iterative methods for mixed finite element methods. Zbl 0823.65035
Ewing, R. E.; Wang, J.
1994
Superconvergence and extrapolation for mixed finite element methods on rectangular domains. Zbl 0729.65084
Wang, Junping
1991
A weak Galerkin finite element scheme for the Cahn-Hilliard equation. Zbl 1420.65128
Wang, Junping; Zhai, Qilong; Zhang, Ran; Zhang, Shangyou
2019
A posteriori error estimate for stabilized finite element methods for the Stokes equations. Zbl 1431.76093
Wang, Junping; Wang, Yanqiu; Ye, Xiu
2012
Analysis of mixed finite element methods on locally refined grids. Zbl 0772.65071
Ewing, Richard E.; Wang, Junping
1992
Convergence analysis without regularity assumptions for multigrid algorithms based on SOR smoothing. Zbl 0753.65093
Wang, Junping
1992
Convergence analysis of multigrid algorithms for nonselfadjoint and indefinite elliptic problems. Zbl 0774.65082
Wang, Junping
1993
Discretization of div-curl systems by weak Galerkin finite element methods on polyhedral partitions. Zbl 1353.65125
Wang, Chunmei; Wang, Junping
2016
Stabilizing the hierarchical basis by approximate wavelets. II: Implementation and numerical results. Zbl 0924.65108
Vassilevski, Panayot S.; Wang, Junping
1999
Convergence analysis of the Schwarz algorithm and multilevel decomposition iterative methods. II: Nonselfadjoint and indefinite elliptic problems. Zbl 0777.65066
Wang, Junping
1993
Stabilizing the hierarchical basis by approximate wavelets. I: Theory. Zbl 0889.65126
Vassilevskij, P. S.; Wang, J.
1997
An interior estimate of superconvergence for finite element solutions for second-order elliptic problems on quasi-uniform meshes by local projections. Zbl 1058.65118
Chen, Hongsen; Wang, Junping
2003
A numerical approximation of non-Fickian flows with mixing length growth in porous media. Zbl 1007.76036
Ewing, R. E.; Lin, Y.; Wang, J.
2001
Scheduling of a machining center. Zbl 0856.90057
Wang, J.; Luh, P. B.
1996
Finite element methods for the Navier-Stokes equations by $$H$$(div) elements. Zbl 1174.76012
Wang, Junping; Wang, Xiaoshen; Ye, Xiu
2008
Construction and analysis of a special one-dimensional continuous function. Zbl 1371.28011
Wang, J.; Yao, Kui
2017
A systematic study on weak Galerkin finite element methods for second order elliptic problems. Zbl 1398.65311
Wang, Junping; Wang, Ruishu; Zhai, Qilong; Zhang, Ran
2018
Simplified weak Galerkin and new finite difference schemes for the Stokes equation. Zbl 1422.65397
Liu, Yujie; Wang, Junping
2019
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 hybridized formulation for the weak Galerkin mixed finite element method. Zbl 1338.76063
Mu, Lin; Wang, Junping; Ye, Xiu
2016
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 new family of mixed finite element spaces over rectangles. Zbl 0806.65109
Douglas, Jim jun.; Wang, Junping
1993
Primal-dual weak Galerkin finite element methods for elliptic Cauchy problems. Zbl 1443.65374
Wang, Chunmei; Wang, Junping
2020
A new superconvergence for mixed finite element approximations. Zbl 1036.65083
Ewing, Richard E.; Liu, Mingjun; Wang, Junping
2002
Basics of weak Galerkin finite element methods. Zbl 1374.65196
Wang, Junping; Ye, Xiu; Zhang, Ran
2016
A least-squares-based weak Galerkin finite element method for second order elliptic equations. Zbl 1404.65233
Mu, Lin; Wang, Junping; Ye, Xiu
2017
Convergence analysis of Schwarz algorithm and multilevel decomposition iterative methods. I: Selfadjoint and positive definite elliptic problems. Zbl 0785.65115
Wang, Junping
1992
New convergence estimates for multilevel algorithms for finite-element approximations. Zbl 0808.65129
Wang, Junping
1994
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 discrete divergence free weak Galerkin finite element method for the Stokes equations. Zbl 1378.76051
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
2018
Superconvergence of the gradient approximation for weak Galerkin finite element methods on nonuniform rectangular partitions. Zbl 1434.65266
Li, Dan; Wang, Chunmei; Wang, Junping
2020
Effective implementation of the weak Galerkin finite element methods for the biharmonic equation. Zbl 1397.65283
Mu, Lin; Wang, Junping; Ye, Xiu
2017
Some expansions of the finite element approximation. Zbl 0553.65071
Lin, Qun; Wang, Junping
1984
An auxiliary space multigrid preconditioner for the weak Galerkin method. Zbl 1443.65319
Chen, Long; Wang, Junping; Wang, Yanqiu; Ye, Xiu
2015
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
A weak Galerkin generalized multiscale finite element method. Zbl 1337.65156
Mu, Lin; Wang, Junping; Ye, Xiu
2016
An integral representation and computation for the solution of American options. Zbl 1011.91049
Underwood, Robert; Wang, Junping
2002
The Schwarz algorithm and multilevel decomposition iterative techniques for mixed finite element methods. Zbl 0770.65084
Ewing, Richard E.; Wang, Junping
1992
A superconvergent finite element scheme for the Reissner-Mindlin plate by projection methods. Zbl 1085.74047
Wang, Junping; Ye, Xiu
2004
A primal-dual weak Galerkin finite element method for Fokker-Planck type equations. Zbl 1466.65206
Wang, Chunmei; Wang, Junping
2020
A weak Galerkin method for the Reissner-Mindlin plate in primary form. Zbl 1398.65273
Mu, Lin; Wang, Junping; Ye, Xiu
2018
Backward Euler mixed FEM and regularity of parabolic integro-differential equations with non-smooth data. Zbl 1115.76048
Ewing, Richard E.; Lin, Yanping; Wang, Junping; Yang, Xiaozhong
2006
Scheduling job shops with batch machines using the Lagrangian relaxation technique. Zbl 0895.90122
Wang, J.; Luh, P. B.
1997
A conservative flux optimization finite element method for convection-diffusion equations. Zbl 1422.65398
Liu, Yujie; Wang, Junping; Zou, Qingsong
2019
A study of free boundary problems of fluid flow in porous media by mixed methods. Zbl 0929.35179
Badea, L.; Ewing, R. E.; Wang, J.
1999
A high-order Godunov method for one-dimensional convection-diffusion-reaction problems. Zbl 0967.65093
Wo, Shaochang; Chen, Benito M.; Wang, Junping
2000
Superconvergence by $$L^2$$-projections for stabilized finite element methods for the Stokes equations. Zbl 07485193
Li, Jian; Wang, Junping; Ye, Xiu
2009
On the simulation on multicomponent gas flow in porous media. Zbl 0940.76033
Ewing, Richard E.; Wang, Junping; Weekes, Suzanne L.
1999
A primal-dual finite element method for first-order transport problems. Zbl 1437.65201
Wang, Chunmei; Wang, Junping
2020
Primal-dual weak Galerkin finite element methods for elliptic Cauchy problems. Zbl 1443.65374
Wang, Chunmei; Wang, Junping
2020
Superconvergence of the gradient approximation for weak Galerkin finite element methods on nonuniform rectangular partitions. Zbl 1434.65266
Li, Dan; Wang, Chunmei; Wang, Junping
2020
A primal-dual weak Galerkin finite element method for Fokker-Planck type equations. Zbl 1466.65206
Wang, Chunmei; Wang, Junping
2020
A primal-dual finite element method for first-order transport problems. Zbl 1437.65201
Wang, Chunmei; Wang, Junping
2020
A weak Galerkin finite element scheme for the Cahn-Hilliard equation. Zbl 1420.65128
Wang, Junping; Zhai, Qilong; Zhang, Ran; Zhang, Shangyou
2019
Simplified weak Galerkin and new finite difference schemes for the Stokes equation. Zbl 1422.65397
Liu, Yujie; Wang, Junping
2019
A conservative flux optimization finite element method for convection-diffusion equations. Zbl 1422.65398
Liu, Yujie; Wang, Junping; Zou, Qingsong
2019
A primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form. Zbl 1380.65390
Wang, Chunmei; Wang, Junping
2018
A systematic study on weak Galerkin finite element methods for second order elliptic problems. Zbl 1398.65311
Wang, Junping; Wang, Ruishu; Zhai, Qilong; Zhang, Ran
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
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
A weak Galerkin method for the Reissner-Mindlin plate in primary form. Zbl 1398.65273
Mu, Lin; Wang, Junping; Ye, Xiu
2018
Construction and analysis of a special one-dimensional continuous function. Zbl 1371.28011
Wang, J.; Yao, Kui
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
Effective implementation of the weak Galerkin finite element methods for the biharmonic equation. Zbl 1397.65283
Mu, Lin; Wang, Junping; 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 locking-free weak Galerkin finite element method for elasticity problems in the primal formulation. Zbl 1338.74104
Wang, Chunmei; Wang, Junping; Wang, Ruishu; Zhang, Ran
2016
Discretization of div-curl systems by weak Galerkin finite element methods on polyhedral partitions. Zbl 1353.65125
Wang, Chunmei; Wang, Junping
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 hybridized weak Galerkin finite element method for the biharmonic equation. Zbl 1337.65160
Wang, Chunmei; Wang, Junping
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
An efficient numerical scheme for the biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes. Zbl 1361.35058
Wang, Chunmei; Wang, Junping
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 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 $$C^0$$-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
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
Weak Galerkin finite element methods for parabolic equations. Zbl 1307.65133
Li, Qiaoluan H.; Wang, Junping
2013
Unified a posteriori error estimator for finite element methods for the Stokes equations. Zbl 1452.76059
Wang, Junping; Wang, Yanqiu; Ye, Xiu
2013
Maximum principles for $$P_1$$-conforming finite element approximations of quasi-linear second order elliptic equations. Zbl 1250.65144
Wang, Junping; Zhang, Ran
2012
A posteriori error estimate for stabilized finite element methods for the Stokes equations. Zbl 1431.76093
Wang, Junping; Wang, Yanqiu; Ye, Xiu
2012
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 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 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
New finite element methods in computational fluid dynamics by $$H(\mathrm{div})$$ elements. Zbl 1138.76049
Wang, Junping; Ye, Xiu
2007
Asymptotic expansions and Richardson extrapolation of approximate solutions for second order elliptic problems on rectangular domains by mixed finite element methods. Zbl 1388.76359
Fairweather, Graeme; Lin, Qun; Lin, Yanping; Wang, Junping; Zhang, Shuhua
2006
Backward Euler mixed FEM and regularity of parabolic integro-differential equations with non-smooth data. Zbl 1115.76048
Ewing, Richard E.; Lin, Yanping; Wang, Junping; Yang, Xiaozhong
2006
Three-dimensional immersed finite element methods for electric field simulation in composite materials. Zbl 1122.78018
Kafafy, R.; Lin, T.; Lin, Y.; Wang, J.
2005
$$L^\infty$$-error estimates and superconvergence in maximum norm of mixed finite element methods for nonfickian flows in porous media. Zbl 1151.76594
Ewing, Richard E.; Lin, Yanping; Wang, Junping; Zhang, Shuhua
2005
A superconvergent finite element scheme for the Reissner-Mindlin plate by projection methods. Zbl 1085.74047
Wang, Junping; Ye, Xiu
2004
Convergence rate analysis of a multiplicative Schwarz method for variational inequalities. Zbl 1052.65058
Badea, Lori; Tai, Xue-Cheng; Wang, Junping
2003
A stabilized discontinuous finite element method for elliptic problems. Zbl 1071.65551
Ewing, Richard E.; Wang, Junping; Yang, Yongjun
2003
An interior estimate of superconvergence for finite element solutions for second-order elliptic problems on quasi-uniform meshes by local projections. Zbl 1058.65118
Chen, Hongsen; Wang, Junping
2003
Sharp L$$^{2}$$-error estimates and superconvergence of mixed finite element methods for non-Fickian flows in porous media. Zbl 1044.76032
Ewing, Richard E.; Lin, Yanping; Sun, Tong; Wang, Junping; Zhang, Shuhua
2002
Superconvergence for the gradient of finite element approximations by L$$^{2}$$ projections. Zbl 1047.65095
Heimsund, Bjørn-Ove; Tai, Xue-Cheng; Wang, Junping
2002
A new superconvergence for mixed finite element approximations. Zbl 1036.65083
Ewing, Richard E.; Liu, Mingjun; Wang, Junping
2002
An integral representation and computation for the solution of American options. Zbl 1011.91049
Underwood, Robert; Wang, Junping
2002
Superconvergence of finite element approximations for the Stokes problem by projection methods. Zbl 1002.65118
Wang, Junping; Ye, Xiu
2001
A numerical approximation of non-Fickian flows with mixing length growth in porous media. Zbl 1007.76036
Ewing, R. E.; Lin, Y.; Wang, J.
2001
Point-distributed algorithms on locally refined grids for second order elliptic equations. Zbl 1019.65089
Ewing, Richard E.; Shen, Jian; Wang, Junping
2001
Superconvergence analysis for finite element solutions by the least-squares surface fitting on irregular meshes for smooth problems. Zbl 0987.65108
Wang, Junping
2000
An additive Schwarz method for variational inequalities. Zbl 0954.65051
2000
A high-order Godunov method for one-dimensional convection-diffusion-reaction problems. Zbl 0967.65093
Wo, Shaochang; Chen, Benito M.; Wang, Junping
2000
Surrogate gradient algorithm for Lagrangian relaxation. Zbl 0949.90065
Zhao, X.; Luh, Peter B.; Wang, J.
1999
Stabilizing the hierarchical basis by approximate wavelets. II: Implementation and numerical results. Zbl 0924.65108
Vassilevski, Panayot S.; Wang, Junping
1999
A study of free boundary problems of fluid flow in porous media by mixed methods. Zbl 0929.35179
Badea, L.; Ewing, R. E.; Wang, J.
1999
On the simulation on multicomponent gas flow in porous media. Zbl 0940.76033
Ewing, Richard E.; Wang, Junping; Weekes, Suzanne L.
1999
Superconvergence of mixed finite element approximations over quadrilaterals. Zbl 0926.65107
Ewing, Richard E.; Liu, Michael M.; Wang, Junping
1998
Domain decomposition operator splittings for the solution of parabolic equations. Zbl 0914.65099
Mathew, T. P.; Polyakov, P. L.; Russo, G.; Wang, J.
1998
Stabilizing the hierarchical basis by approximate wavelets. I: Theory. Zbl 0889.65126
Vassilevskij, P. S.; Wang, J.
1997
Scheduling job shops with batch machines using the Lagrangian relaxation technique. Zbl 0895.90122
Wang, J.; Luh, P. B.
1997
Some new error estimates for Ritz-Galerkin methods with minimal regularity assumptions. Zbl 0856.65129
Schatz, Alfred H.; Wang, Junping
1996
Scheduling of a machining center. Zbl 0856.90057
Wang, J.; Luh, P. B.
1996
An application of the abstract multilevel theory to nonconforming finite element methods. Zbl 0828.65125
Vassilevski, Panayot S.; Wang, Junping
1995
Mixed finite element methods over quadrilaterals. Zbl 0813.65120
Wang, Junping; Mathew, Tarek
1994
Analysis of multilevel decomposition iterative methods for mixed finite element methods. Zbl 0823.65035
Ewing, R. E.; Wang, J.
1994
New convergence estimates for multilevel algorithms for finite-element approximations. Zbl 0808.65129
Wang, Junping
1994
A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods. Zbl 0813.65122
Douglas, J. jun.; Leme, P. J. Paes; Roberts, J. E.; Wang, Junping
1993
Convergence analysis of multigrid algorithms for nonselfadjoint and indefinite elliptic problems. Zbl 0774.65082
Wang, Junping
1993
Convergence analysis of the Schwarz algorithm and multilevel decomposition iterative methods. II: Nonselfadjoint and indefinite elliptic problems. Zbl 0777.65066
Wang, Junping
1993
A new family of mixed finite element spaces over rectangles. Zbl 0806.65109
Douglas, Jim jun.; Wang, Junping
1993
Analysis of the Schwarz algorithm for mixed finite elements methods. Zbl 0765.65104
Ewing, R. E.; Wang, J.
1992
Multilevel iterative methods for mixed finite element discretizations of elliptic problems. Zbl 0797.65086
Vassilevski, Panayot S.; Wang, Junping
1992
Analysis of mixed finite element methods on locally refined grids. Zbl 0772.65071
Ewing, Richard E.; Wang, Junping
1992
Convergence analysis without regularity assumptions for multigrid algorithms based on SOR smoothing. Zbl 0753.65093
Wang, Junping
1992
Convergence analysis of Schwarz algorithm and multilevel decomposition iterative methods. I: Selfadjoint and positive definite elliptic problems. Zbl 0785.65115
Wang, Junping
1992
The Schwarz algorithm and multilevel decomposition iterative techniques for mixed finite element methods. Zbl 0770.65084
Ewing, Richard E.; Wang, Junping
1992
Convergence estimates for multigrid algorithms without regularity assumptions. Zbl 0727.65101
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao
1991
Convergence estimates for product iterative methods with applications to domain decomposition. Zbl 0754.65085
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao
1991
Superconvergence of the velocity along the Gauss lines in mixed finite element methods. Zbl 0733.65065
Ewing, R. E.; Lazarov, R. D.; Wang, J.
1991
Superconvergence and extrapolation for mixed finite element methods on rectangular domains. Zbl 0729.65084
Wang, Junping
1991
An absolutely stabilized finite element method for the Stokes problem. Zbl 0669.76051
Douglas, Jim jun.; Wang, Junping
1989
Asymptotic expansions and $$L^{\infty}$$-error estimates for mixed finite element methods for second order elliptic problems. Zbl 0676.65109
Wang, Junping
1989
Superconvergence of mixed finite element methods on rectangular domains. Zbl 0714.65084
Douglas, Jim jun.; Wang, Junping
1989
Sharp maximum norm error estimates for finite element approximations of the Stokes problem in 2-D. Zbl 0699.76038
Durán, R.; Nochetto, R. H.; Wang, Junping
1988
...and 2 more Documents
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### Cited by 1,446 Authors

 69 Ye, Xiu 48 Wang, Junping 48 Zhang, Shangyou 42 Mu, Lin 24 Li, Jian 23 Lin, Tao 23 Zhai, Qilong 22 He, Yinnian 22 Zhang, Ran 22 Zhang, Zhimin 21 Huang, Yunqing 21 Wang, Xiaoshen 20 Chen, Zhangxin 19 Wang, Chunmei 17 Xu, Jinchao 16 Feng, Minfu 16 Li, Jichun 14 Chen, Long 14 He, Xiaoming 14 Zhang, Tie 13 Chen, Jinru 13 Chen, Yanping 13 Pasciak, Joseph E. 12 Di Pietro, Daniele Antonio 12 Liu, Jiangguo 12 Portero, Laura 12 Wang, Ruishu 12 Xu, Xuejun 11 Arrarás, Andres 11 Dehghan Takht Fooladi, Mehdi 11 Hughes, Thomas J. R. 11 Lin, Qun 11 Rui, Hongxing 11 Shi, Dongyang 11 Xie, Xiaoping 11 Yang, Danping 11 Zhu, Peng 10 Bramble, James H. 10 Ern, Alexandre 10 Gao, Fuzheng 10 Park, Eun-Jae 10 Wang, Yanqiu 9 Brenner, Susanne Cecelia 9 Lin, Yanping 9 Song, Lunji 9 Vassilevski, Panayot Spirov 9 Yotov, Ivan 9 Zhang, Xu 8 Buscaglia, Gustavo Carlos 8 Codina, Ramon 8 Douglas, Jim jun. 8 Ewing, Richard Edward 8 Franca, Leopoldo Luis Cabo Penna 8 Kwak, Do Young 8 Pani, Amiya Kumar 8 Sheen, Dongwoo 8 Wang, Xiuli 8 Yan, Ningning 8 Yi, Nianyu 8 Zeng, Jinping 8 Zhao, Shan 8 Zikatanov, Ludmil T. 7 Adjerid, Slimane 7 Cao, Yong 7 Carstensen, Carsten 7 Cockburn, Bernardo 7 Hu, Jun 7 Hussain, Saqib 7 Lazarov, Raytcho D. 7 Neilan, Michael 7 Wei, Guowei 7 Xie, Hehu 7 Zhang, Kai 7 Zhao, Lina 7 Zhu, Yunrong 6 Al-Taweel, Ahmed 6 Beirão da Veiga, Lourenço 6 Burman, Erik 6 Cai, Zhiqiang 6 Chen, Gang 6 Chou, So-Hsiang 6 Chung, Tsz Shun Eric 6 Ferreira, José Augusto 6 Gatica, Gabriel N. 6 Jorge, Juan Carlos 6 Li, Zhilin 6 Nochetto, Ricardo Horacio 6 Qiu, Weifeng 6 Santos, Juan Enrique 6 Sousa, Fabrício S. 6 Tavener, Simon J. 6 Vaněk, Petr 6 Winther, Ragnar 6 Wohlmuth, Barbara I. 6 Xu, Hongru 6 Yang, Wei 6 Yuan, Guangwei 6 Zhang, Jiansong 6 Zhang, Shuhua 6 Zou, Yongkui ...and 1,346 more Authors
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### Cited in 132 Serials

 134 Journal of Computational and Applied Mathematics 130 Computer Methods in Applied Mechanics and Engineering 76 Journal of Scientific Computing 71 Applied Numerical Mathematics 64 Computers & Mathematics with Applications 63 Mathematics of Computation 60 Journal of Computational Physics 60 Applied Mathematics and Computation 49 Numerische Mathematik 41 Numerical Methods for Partial Differential Equations 36 SIAM Journal on Numerical Analysis 28 SIAM Journal on Scientific Computing 27 Advances in Computational Mathematics 17 Numerical Algorithms 17 Numerical Linear Algebra with Applications 16 Communications in Computational Physics 16 Advances in Applied Mathematics and Mechanics 15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 12 Calcolo 12 Computing 12 Applications of Mathematics 12 International Journal of Computer Mathematics 12 International Journal of Numerical Analysis and Modeling 11 BIT 11 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 9 Mathematical Methods in the Applied Sciences 9 Mathematics and Computers in Simulation 9 Mathematical Problems in Engineering 9 Discrete and Continuous Dynamical Systems. Series B 9 Science China. Mathematics 8 Applied Mathematics Letters 8 Engineering Analysis with Boundary Elements 8 Computational Methods in Applied Mathematics 8 Electronic Research Archive 7 Journal of Mathematical Analysis and Applications 7 RAIRO. Modélisation Mathématique et Analyse Numérique 7 Computational and Applied Mathematics 7 Journal of Numerical Mathematics 6 International Journal for Numerical Methods in Fluids 5 Applicable Analysis 5 Applied Mathematics and Mechanics. (English Edition) 5 Acta Mathematicae Applicatae Sinica. English Series 5 Applied Mathematical Modelling 5 ETNA. Electronic Transactions on Numerical Analysis 5 Abstract and Applied Analysis 5 Journal of Inequalities and Applications 5 Computational Geosciences 5 Journal of Applied Mathematics and Computing 5 Frontiers of Mathematics in China 5 East Asian Journal on Applied Mathematics 3 International Journal for Numerical Methods in Engineering 3 Numerical Functional Analysis and Optimization 3 Acta Applicandae Mathematicae 3 Computational Mechanics 3 Computational Mathematics and Mathematical Physics 3 Linear Algebra and its Applications 3 SIAM Review 3 Communications in Numerical Methods in Engineering 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Advances in Difference Equations 3 Journal of Applied Analysis and Computation 3 Communications on Applied Mathematics and Computation 2 International Journal of Control 2 Chaos, Solitons and Fractals 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Applied and Computational Harmonic Analysis 2 Computing and Visualization in Science 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 2 Foundations of Computational Mathematics 2 Journal of Systems Science and Complexity 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Computational Methods 2 Journal of Computational Acoustics 2 Advances in Numerical Analysis 2 Journal of Mathematical Modeling 2 AIMS Mathematics 1 Computers and Fluids 1 Computer Physics Communications 1 International Journal of Engineering Science 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Transport Theory and Statistical Physics 1 Czechoslovak Mathematical Journal 1 Meccanica 1 Chinese Annals of Mathematics. Series B 1 Computer Aided Geometric Design 1 Journal of Complexity 1 Journal of the American Mathematical Society 1 SIAM Journal on Matrix Analysis and Applications 1 Science in China. Series A 1 European Journal of Applied Mathematics 1 Machine Learning 1 Japan Journal of Industrial and Applied Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 SIAM Journal on Optimization 1 Advances in Engineering Software 1 Applied Mathematics. Series B (English Edition) ...and 32 more Serials
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### Cited in 33 Fields

 1,166 Numerical analysis (65-XX) 643 Partial differential equations (35-XX) 405 Fluid mechanics (76-XX) 127 Mechanics of deformable solids (74-XX) 41 Optics, electromagnetic theory (78-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 24 Integral equations (45-XX) 21 Operations research, mathematical programming (90-XX) 17 Biology and other natural sciences (92-XX) 15 Statistical mechanics, structure of matter (82-XX) 11 Computer science (68-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Geophysics (86-XX) 8 Ordinary differential equations (34-XX) 7 Potential theory (31-XX) 6 Combinatorics (05-XX) 6 Real functions (26-XX) 6 Functional analysis (46-XX) 6 Operator theory (47-XX) 6 Systems theory; control (93-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX)