Edit Profile (opens in new tab) Wang, Junping Co-Author Distance 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: 133 Publications since 1984, including 12 Additional arXiv Preprints Co-Authors: 56 Co-Authors with 121 Joint Publications 2,214 Co-Co-Authors all top 5 Co-Authors 8 single-authored 44 Ye, Xiu 26 Wang, Chunmei 20 Mu, Lin 16 Ewing, Richard Edward 12 Zhang, Shangyou 10 Wang, Yanqiu 6 Lin, Yanping 6 Zhang, Ran 5 Li, Dan 4 Cao, Waixiang 4 Douglas, Jim jun. 4 Liu, Yujie 4 Qi, Wenya 4 Seshaiyer, Padmanabhan 4 Vassilevski, Panayot Spirov 4 Zhao, Shan 3 Badea, Lori 3 Lin, Qun 3 Zhai, Qilong 3 Zhang, Shuhua 2 Bramble, James H. 2 Chen, Long 2 Mathew, Tarek P. A. 2 Pasciak, Joseph E. 2 Tai, Xuecheng 2 Wang, Ruishu 2 Wang, Xiaoshen 2 Weekes, Suzanne L. 2 Xu, Jinchao 2 Yang, Yongjun 1 Bai, Donghua 1 Cao, Shuhao 1 Chen-Charpentier, Benito Miguel 1 Chen, Hongsen 1 Duran, Ramazan 1 Fairweather, Graeme 1 Heimsund, Bjørn-Ove 1 Kafafy, R. 1 Lazarov, Raytcho D. 1 Leme, P. J. Paes 1 Li, Jian 1 Li, Qiaoluan Helen 1 Lin, Tao 1 Liu, Michael M. 1 Liu, Mingjun 1 Nochetto, Ricardo Horacio 1 Roberts, Jean Elizabeth 1 Russo, Giovanni 1 Schatz, Alfred H. 1 Shen, Jian 1 Sun, Tong 1 Underwood, Robert G. 1 Wei, Guowei 1 Wo, Shaochang 1 Yang, Xiaozhong 1 Zhu, Peng 1 Zou, Qingsong all top 5 Serials 17 SIAM Journal on Numerical Analysis 16 Journal of Computational and Applied Mathematics 10 Mathematics of Computation 9 International Journal of Numerical Analysis and Modeling 7 Computers & Mathematics with Applications 6 Journal of Computational Physics 6 Numerical Methods for Partial Differential Equations 6 Journal of Scientific Computing 5 SIAM Journal on Scientific Computing 4 Numerische Mathematik 3 Applied Numerical Mathematics 2 IMA Journal of Numerical Analysis 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Numerical Linear Algebra with Applications 1 Mathematical Methods in the Applied Sciences 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Mathematica Numerica Sinica 1 Journal of Computational Mathematics 1 Journal of Systems Science and Mathematical Sciences 1 Mathematica Applicata 1 Acta Mathematica Universitatis Comenianae. New Series 1 Numerical Algorithms 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 Journal of Mathematical Study 1 Nonlinear Analysis. Real World Applications 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Journal of Numerical Mathematics 1 Communications in Computational Physics 1 Scientia Sinica. Mathematica 1 Electronic Research Archive all top 5 Fields 120 Numerical analysis (65-XX) 97 Partial differential equations (35-XX) 33 Fluid mechanics (76-XX) 8 Mechanics of deformable solids (74-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Integral equations (45-XX) 2 Optics, electromagnetic theory (78-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 110 Publications have been cited 3,946 times in 1,634 Documents Cited by ▼ Year ▼ A weak Galerkin finite element method for second-order elliptic problems. Zbl 1261.65121 Wang, Junping; Ye, Xiu 404 2013 A weak Galerkin mixed finite element method for second order elliptic problems. Zbl 1308.65202 Wang, Junping; Ye, Xiu 350 2014 An absolutely stabilized finite element method for the Stokes problem. Zbl 0669.76051 Douglas, Jim jun.; Wang, Junping 185 1989 A weak Galerkin finite element method for the Stokes equations. Zbl 1382.76178 Wang, Junping; Ye, Xiu 164 2016 Weak Galerkin finite element methods on polytopal meshes. Zbl 1332.65172 Mu, Lin; Wang, Junping; Ye, Xiu 138 2015 A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220 Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou 138 2015 Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes. Zbl 1314.65151 Mu, Lin; Wang, Junping; Ye, Xiu 137 2014 Weak Galerkin methods for second order elliptic interface problems. Zbl 1349.65472 Mu, Lin; Wang, Junping; Wei, Guowei; Ye, Xiu; Zhao, Shan 113 2013 A weak Galerkin finite element method with polynomial reduction. Zbl 1315.65099 Mu, Lin; Wang, Junping; Ye, Xiu 106 2015 Convergence estimates for multigrid algorithms without regularity assumptions. Zbl 0727.65101 Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao 88 1991 A new weak Galerkin finite element method for elliptic interface problems. Zbl 1380.65383 Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan 87 2016 A computational study of the weak Galerkin method for second-order elliptic equations. Zbl 1271.65140 Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu 85 2013 Convergence estimates for product iterative methods with applications to domain decomposition. Zbl 0754.65085 Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao 74 1991 A new weak Galerkin finite element method for the Helmholtz equation. Zbl 1323.65116 Mu, Lin; Wang, Junping; Ye, Xiu 70 2015 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 67 2014 Weak Galerkin finite element methods for parabolic equations. Zbl 1307.65133 Li, Qiaoluan H.; Wang, Junping 67 2013 A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods. Zbl 1351.76072 Mu, Lin; Wang, Junping; Ye, Xiu 65 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. 64 2005 A \(C^0\)-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233 Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou 60 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 58 2014 A primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form. Zbl 1380.65390 Wang, Chunmei; Wang, Junping 55 2018 New finite element methods in computational fluid dynamics by \(H(\mathrm{div})\) elements. Zbl 1138.76049 Wang, Junping; Ye, Xiu 53 2007 Superconvergence of the velocity along the Gauss lines in mixed finite element methods. Zbl 0733.65065 Ewing, R. E.; Lazarov, R. D.; Wang, J. 53 1991 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 53 2016 A weak Galerkin mixed finite element method for biharmonic equations. Zbl 1283.65109 Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu 52 2013 Superconvergence of mixed finite element approximations over quadrilaterals. Zbl 0926.65107 Ewing, Richard E.; Liu, Michael M.; Wang, Junping 43 1998 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 42 1993 Superconvergence of finite element approximations for the Stokes problem by projection methods. Zbl 1002.65118 Wang, Junping; Ye, Xiu 41 2001 A numerical study on the weak Galerkin method for the Helmholtz equation. Zbl 1388.65156 Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan 41 2014 Some new error estimates for Ritz-Galerkin methods with minimal regularity assumptions. Zbl 0856.65129 Schatz, Alfred H.; Wang, Junping 35 1996 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 31 2002 A weak Galerkin finite element scheme for the Cahn-Hilliard equation. Zbl 1420.65128 Wang, Junping; Zhai, Qilong; Zhang, Ran; Zhang, Shangyou 30 2019 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 29 2018 Convergence rate analysis of a multiplicative Schwarz method for variational inequalities. Zbl 1052.65058 Badea, Lori; Tai, Xue-Cheng; Wang, Junping 29 2003 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 29 2009 Superconvergence analysis for finite element solutions by the least-squares surface fitting on irregular meshes for smooth problems. Zbl 0987.65108 Wang, Junping 27 2000 Analysis of the Schwarz algorithm for mixed finite elements methods. Zbl 0765.65104 Ewing, R. E.; Wang, J. 27 1992 Superconvergence for the gradient of finite element approximations by L\(^{2}\) projections. Zbl 1047.65095 Heimsund, Bjørn-Ove; Tai, Xue-Cheng; Wang, Junping 26 2002 Maximum principles for \(P_1\)-conforming finite element approximations of quasi-linear second order elliptic equations. Zbl 1250.65144 Wang, Junping; Zhang, Ran 25 2012 Domain decomposition operator splittings for the solution of parabolic equations. Zbl 0914.65099 Mathew, T. P.; Polyakov, P. L.; Russo, G.; Wang, J. 25 1998 Multilevel iterative methods for mixed finite element discretizations of elliptic problems. Zbl 0797.65086 Vassilevski, Panayot S.; Wang, Junping 25 1992 Discretization of div-curl systems by weak Galerkin finite element methods on polyhedral partitions. Zbl 1353.65125 Wang, Chunmei; Wang, Junping 25 2016 Mixed finite element methods over quadrilaterals. Zbl 0813.65120 Wang, Junping; Mathew, Tarek 24 1994 A hybridized weak Galerkin finite element method for the biharmonic equation. Zbl 1337.65160 Wang, Chunmei; Wang, Junping 22 2015 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 21 1988 Superconvergence of mixed finite element methods on rectangular domains. Zbl 0714.65084 Douglas, Jim jun.; Wang, Junping 21 1989 Asymptotic expansions and \(L^{\infty}\)-error estimates for mixed finite element methods for second order elliptic problems. Zbl 0676.65109 Wang, Junping 19 1989 An additive Schwarz method for variational inequalities. Zbl 0954.65051 Badea, Lori; Wang, Junping 19 2000 An auxiliary space multigrid preconditioner for the weak Galerkin method. Zbl 1443.65319 Chen, Long; Wang, Junping; Wang, Yanqiu; Ye, Xiu 19 2015 \(L^\infty\)-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 17 2005 An application of the abstract multilevel theory to nonconforming finite element methods. Zbl 0828.65125 Vassilevski, Panayot S.; Wang, Junping 16 1995 A least-squares-based weak Galerkin finite element method for second order elliptic equations. Zbl 1404.65233 Mu, Lin; Wang, Junping; Ye, Xiu 16 2017 Primal-dual weak Galerkin finite element methods for elliptic Cauchy problems. Zbl 1443.65374 Wang, Chunmei; Wang, Junping 16 2020 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 14 2006 A stabilized discontinuous finite element method for elliptic problems. Zbl 1071.65551 Ewing, Richard E.; Wang, Junping; Yang, Yongjun 14 2003 A discrete divergence free weak Galerkin finite element method for the Stokes equations. Zbl 1378.76051 Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou 14 2018 Unified a posteriori error estimator for finite element methods for the Stokes equations. Zbl 1452.76059 Wang, Junping; Wang, Yanqiu; Ye, Xiu 14 2013 Superconvergence of the gradient approximation for weak Galerkin finite element methods on nonuniform rectangular partitions. Zbl 1434.65266 Li, Dan; Wang, Chunmei; Wang, Junping 14 2020 A hybridized formulation for the weak Galerkin mixed finite element method. Zbl 1338.76063 Mu, Lin; Wang, Junping; Ye, Xiu 13 2016 A primal-dual weak Galerkin finite element method for Fokker-Planck type equations. Zbl 1466.65206 Wang, Chunmei; Wang, Junping 13 2020 Superconvergence by \(L^2\)-projections for stabilized finite element methods for the Stokes equations. Zbl 1499.65672 Li, Jian; Wang, Junping; Ye, Xiu 13 2009 A posteriori error estimate for stabilized finite element methods for the Stokes equations. Zbl 1431.76093 Wang, Junping; Wang, Yanqiu; Ye, Xiu 13 2012 Simplified weak Galerkin and new finite difference schemes for the Stokes equation. Zbl 1422.65397 Liu, Yujie; Wang, Junping 13 2019 Analysis of multilevel decomposition iterative methods for mixed finite element methods. Zbl 0823.65035 Ewing, R. E.; Wang, J. 12 1994 Superconvergence and extrapolation for mixed finite element methods on rectangular domains. Zbl 0729.65084 Wang, Junping 12 1991 Convergence analysis of multigrid algorithms for nonselfadjoint and indefinite elliptic problems. Zbl 0774.65082 Wang, Junping 12 1993 Weak Galerkin finite element methods for elliptic PDEs. Zbl 1488.65655 Wang, Junping; Wang, Chunmei 12 2015 Stabilizing the hierarchical basis by approximate wavelets. II: Implementation and numerical results. Zbl 0924.65108 Vassilevski, Panayot S.; Wang, Junping 11 1999 Finite element methods for the Navier-Stokes equations by \(H\)(div) elements. Zbl 1174.76012 Wang, Junping; Wang, Xiaoshen; Ye, Xiu 11 2008 Analysis of mixed finite element methods on locally refined grids. Zbl 0772.65071 Ewing, Richard E.; Wang, Junping 11 1992 Convergence analysis without regularity assumptions for multigrid algorithms based on SOR smoothing. Zbl 0753.65093 Wang, Junping 11 1992 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 11 2018 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 10 2003 Convergence analysis of the Schwarz algorithm and multilevel decomposition iterative methods. II: Nonselfadjoint and indefinite elliptic problems. Zbl 0777.65066 Wang, Junping 10 1993 A primal-dual finite element method for first-order transport problems. Zbl 1437.65201 Wang, Chunmei; Wang, Junping 10 2020 Effective implementation of the weak Galerkin finite element methods for the biharmonic equation. Zbl 1397.65283 Mu, Lin; Wang, Junping; Ye, Xiu 10 2017 A unified a posteriori error estimator for finite volume methods for the Stokes equations. Zbl 1453.65392 Wang, Junping; Wang, Yanqiu; Ye, Xiu 9 2018 A numerical approximation of non-Fickian flows with mixing length growth in porous media. Zbl 1007.76036 Ewing, R. E.; Lin, Y.; Wang, J. 9 2001 Stabilizing the hierarchical basis by approximate wavelets. I: Theory. Zbl 0889.65126 Vassilevskij, P. S.; Wang, J. 9 1997 Interior penalty discontinuous Galerkin method on very general polygonal and polyhedral meshes. Zbl 1291.65347 Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu 9 2014 Some expansions of the finite element approximation. Zbl 0553.65071 Lin, Qun; Wang, Junping 6 1984 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 6 2011 A new family of mixed finite element spaces over rectangles. Zbl 0806.65109 Douglas, Jim jun.; Wang, Junping 6 1993 New convergence estimates for multilevel algorithms for finite-element approximations. Zbl 0808.65129 Wang, Junping 6 1994 Basics of weak Galerkin finite element methods. Zbl 1374.65196 Wang, Junping; Ye, Xiu; Zhang, Ran 6 2016 A new superconvergence for mixed finite element approximations. Zbl 1036.65083 Ewing, Richard E.; Liu, Mingjun; Wang, Junping 6 2002 Numerical investigation on weak Galerkin finite elements. Zbl 1488.65656 Wang, Junping; Ye, Xiu; Zhang, Shangyou 6 2020 A weak Galerkin method for the Reissner-Mindlin plate in primary form. Zbl 1398.65273 Mu, Lin; Wang, Junping; Ye, Xiu 5 2018 Convergence analysis of Schwarz algorithm and multilevel decomposition iterative methods. I: Selfadjoint and positive definite elliptic problems. Zbl 0785.65115 Wang, Junping 5 1992 A new numerical method for div-curl systems with low regularity assumptions. Zbl 1524.65770 Cao, Shuhao; Wang, Chunmei; Wang, Junping 5 2022 A new finite volume method for the Stokes problems. Zbl 1499.65622 Wang, Junping; Wang, Yanqiu; Ye, Xiu 5 2010 A weak Galerkin generalized multiscale finite element method. Zbl 1337.65156 Mu, Lin; Wang, Junping; Ye, Xiu 4 2016 A primal-dual finite element method for transport equations in non-divergence form. Zbl 1486.65256 Li, Dan; Wang, Chunmei; Wang, Junping 4 2022 An \(L^p\)-primal-dual weak Galerkin method for convection-diffusion equations. Zbl 1496.65207 Cao, Waixiang; Wang, Chunmei; Wang, Junping 4 2023 A new primal-dual weak Galerkin method for elliptic interface problems with low regularity assumptions. Zbl 07599594 Cao, Waixiang; Wang, Chunmei; Wang, Junping 4 2022 A conservative flux optimization finite element method for convection-diffusion equations. Zbl 1422.65398 Liu, Yujie; Wang, Junping; Zou, Qingsong 4 2019 The Schwarz algorithm and multilevel decomposition iterative techniques for mixed finite element methods. Zbl 0770.65084 Ewing, Richard E.; Wang, Junping 3 1992 A superconvergent finite element scheme for the Reissner-Mindlin plate by projection methods. Zbl 1085.74047 Wang, Junping; Ye, Xiu 3 2004 An integral representation and computation for the solution of American options. Zbl 1011.91049 Underwood, Robert; Wang, Junping 3 2002 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 2 2006 An \(L^p\)-primal-dual weak Galerkin method for convection-diffusion equations. Zbl 1496.65207 Cao, Waixiang; Wang, Chunmei; Wang, Junping 4 2023 An \(L^p\)-primal-dual weak Galerkin method for div-curl systems. Zbl 1499.65646 Cao, Waixiang; Wang, Chunmei; Wang, Junping 2 2023 An \(L^p\)-primal-dual finite element method for first-order transport problems. Zbl 1517.65115 Li, Dan; Wang, Chunmei; Wang, Junping 1 2023 A new numerical method for div-curl systems with low regularity assumptions. Zbl 1524.65770 Cao, Shuhao; Wang, Chunmei; Wang, Junping 5 2022 A primal-dual finite element method for transport equations in non-divergence form. Zbl 1486.65256 Li, Dan; Wang, Chunmei; Wang, Junping 4 2022 A new primal-dual weak Galerkin method for elliptic interface problems with low regularity assumptions. Zbl 07599594 Cao, Waixiang; Wang, Chunmei; Wang, Junping 4 2022 A locking-free \(P_0\) finite element method for linear elasticity equations on polytopal partitions. Zbl 1512.65273 Liu, Yujie; Wang, Junping 1 2022 Finite element method with the total stress variable for Biot’s consolidation model. Zbl 07776077 Qi, Wenya; Seshaiyer, Padmanabhan; Wang, Junping 2 2021 De Rham complexes for weak Galerkin finite element spaces. Zbl 1476.65310 Wang, Chunmei; Wang, Junping; Ye, Xiu; Zhang, Shangyou 2 2021 Primal-dual weak Galerkin finite element methods for elliptic Cauchy problems. Zbl 1443.65374 Wang, Chunmei; Wang, Junping 16 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 14 2020 A primal-dual weak Galerkin finite element method for Fokker-Planck type equations. Zbl 1466.65206 Wang, Chunmei; Wang, Junping 13 2020 A primal-dual finite element method for first-order transport problems. Zbl 1437.65201 Wang, Chunmei; Wang, Junping 10 2020 Numerical investigation on weak Galerkin finite elements. Zbl 1488.65656 Wang, Junping; Ye, Xiu; Zhang, Shangyou 6 2020 A weak Galerkin finite element scheme for the Cahn-Hilliard equation. Zbl 1420.65128 Wang, Junping; Zhai, Qilong; Zhang, Ran; Zhang, Shangyou 30 2019 Simplified weak Galerkin and new finite difference schemes for the Stokes equation. Zbl 1422.65397 Liu, Yujie; Wang, Junping 13 2019 A conservative flux optimization finite element method for convection-diffusion equations. Zbl 1422.65398 Liu, Yujie; Wang, Junping; Zou, Qingsong 4 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 55 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 29 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 14 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 11 2018 A unified a posteriori error estimator for finite volume methods for the Stokes equations. Zbl 1453.65392 Wang, Junping; Wang, Yanqiu; Ye, Xiu 9 2018 A weak Galerkin method for the Reissner-Mindlin plate in primary form. Zbl 1398.65273 Mu, Lin; Wang, Junping; Ye, Xiu 5 2018 A least-squares-based weak Galerkin finite element method for second order elliptic equations. Zbl 1404.65233 Mu, Lin; Wang, Junping; Ye, Xiu 16 2017 Effective implementation of the weak Galerkin finite element methods for the biharmonic equation. Zbl 1397.65283 Mu, Lin; Wang, Junping; Ye, Xiu 10 2017 A weak Galerkin finite element method for the Stokes equations. Zbl 1382.76178 Wang, Junping; Ye, Xiu 164 2016 A new weak Galerkin finite element method for elliptic interface problems. Zbl 1380.65383 Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan 87 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 53 2016 Discretization of div-curl systems by weak Galerkin finite element methods on polyhedral partitions. Zbl 1353.65125 Wang, Chunmei; Wang, Junping 25 2016 A hybridized formulation for the weak Galerkin mixed finite element method. Zbl 1338.76063 Mu, Lin; Wang, Junping; Ye, Xiu 13 2016 Basics of weak Galerkin finite element methods. Zbl 1374.65196 Wang, Junping; Ye, Xiu; Zhang, Ran 6 2016 A weak Galerkin generalized multiscale finite element method. Zbl 1337.65156 Mu, Lin; Wang, Junping; Ye, Xiu 4 2016 Weak Galerkin finite element methods on polytopal meshes. Zbl 1332.65172 Mu, Lin; Wang, Junping; Ye, Xiu 138 2015 A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220 Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou 138 2015 A weak Galerkin finite element method with polynomial reduction. Zbl 1315.65099 Mu, Lin; Wang, Junping; Ye, Xiu 106 2015 A new weak Galerkin finite element method for the Helmholtz equation. Zbl 1323.65116 Mu, Lin; Wang, Junping; Ye, Xiu 70 2015 A hybridized weak Galerkin finite element method for the biharmonic equation. Zbl 1337.65160 Wang, Chunmei; Wang, Junping 22 2015 An auxiliary space multigrid preconditioner for the weak Galerkin method. Zbl 1443.65319 Chen, Long; Wang, Junping; Wang, Yanqiu; Ye, Xiu 19 2015 Weak Galerkin finite element methods for elliptic PDEs. Zbl 1488.65655 Wang, Junping; Wang, Chunmei 12 2015 A weak Galerkin mixed finite element method for second order elliptic problems. Zbl 1308.65202 Wang, Junping; Ye, Xiu 350 2014 Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes. Zbl 1314.65151 Mu, Lin; Wang, Junping; Ye, Xiu 137 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 67 2014 A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods. Zbl 1351.76072 Mu, Lin; Wang, Junping; Ye, Xiu 65 2014 A \(C^0\)-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233 Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou 60 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 58 2014 A numerical study on the weak Galerkin method for the Helmholtz equation. Zbl 1388.65156 Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan 41 2014 Interior penalty discontinuous Galerkin method on very general polygonal and polyhedral meshes. Zbl 1291.65347 Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu 9 2014 A weak Galerkin finite element method for second-order elliptic problems. Zbl 1261.65121 Wang, Junping; Ye, Xiu 404 2013 Weak Galerkin methods for second order elliptic interface problems. Zbl 1349.65472 Mu, Lin; Wang, Junping; Wei, Guowei; Ye, Xiu; Zhao, Shan 113 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 85 2013 Weak Galerkin finite element methods for parabolic equations. Zbl 1307.65133 Li, Qiaoluan H.; Wang, Junping 67 2013 A weak Galerkin mixed finite element method for biharmonic equations. Zbl 1283.65109 Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu 52 2013 Unified a posteriori error estimator for finite element methods for the Stokes equations. Zbl 1452.76059 Wang, Junping; Wang, Yanqiu; Ye, Xiu 14 2013 Maximum principles for \(P_1\)-conforming finite element approximations of quasi-linear second order elliptic equations. Zbl 1250.65144 Wang, Junping; Zhang, Ran 25 2012 A posteriori error estimate for stabilized finite element methods for the Stokes equations. Zbl 1431.76093 Wang, Junping; Wang, Yanqiu; Ye, Xiu 13 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 6 2011 A new finite volume method for the Stokes problems. Zbl 1499.65622 Wang, Junping; Wang, Yanqiu; Ye, Xiu 5 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 29 2009 Superconvergence by \(L^2\)-projections for stabilized finite element methods for the Stokes equations. Zbl 1499.65672 Li, Jian; Wang, Junping; Ye, Xiu 13 2009 Finite element methods for the Navier-Stokes equations by \(H\)(div) elements. Zbl 1174.76012 Wang, Junping; Wang, Xiaoshen; Ye, Xiu 11 2008 New finite element methods in computational fluid dynamics by \(H(\mathrm{div})\) elements. Zbl 1138.76049 Wang, Junping; Ye, Xiu 53 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 14 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 2 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. 64 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 17 2005 A superconvergent finite element scheme for the Reissner-Mindlin plate by projection methods. Zbl 1085.74047 Wang, Junping; Ye, Xiu 3 2004 Convergence rate analysis of a multiplicative Schwarz method for variational inequalities. Zbl 1052.65058 Badea, Lori; Tai, Xue-Cheng; Wang, Junping 29 2003 A stabilized discontinuous finite element method for elliptic problems. Zbl 1071.65551 Ewing, Richard E.; Wang, Junping; Yang, Yongjun 14 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 10 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 31 2002 Superconvergence for the gradient of finite element approximations by L\(^{2}\) projections. Zbl 1047.65095 Heimsund, Bjørn-Ove; Tai, Xue-Cheng; Wang, Junping 26 2002 A new superconvergence for mixed finite element approximations. Zbl 1036.65083 Ewing, Richard E.; Liu, Mingjun; Wang, Junping 6 2002 An integral representation and computation for the solution of American options. Zbl 1011.91049 Underwood, Robert; Wang, Junping 3 2002 Superconvergence of finite element approximations for the Stokes problem by projection methods. Zbl 1002.65118 Wang, Junping; Ye, Xiu 41 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. 9 2001 Point-distributed algorithms on locally refined grids for second order elliptic equations. Zbl 1019.65089 Ewing, Richard E.; Shen, Jian; Wang, Junping 1 2001 Superconvergence analysis for finite element solutions by the least-squares surface fitting on irregular meshes for smooth problems. Zbl 0987.65108 Wang, Junping 27 2000 An additive Schwarz method for variational inequalities. Zbl 0954.65051 Badea, Lori; Wang, Junping 19 2000 A high-order Godunov method for one-dimensional convection-diffusion-reaction problems. Zbl 0967.65093 Wo, Shaochang; Chen, Benito M.; Wang, Junping 1 2000 Stabilizing the hierarchical basis by approximate wavelets. II: Implementation and numerical results. Zbl 0924.65108 Vassilevski, Panayot S.; Wang, Junping 11 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. 1 1999 On the simulation on multicomponent gas flow in porous media. Zbl 0940.76033 Ewing, Richard E.; Wang, Junping; Weekes, Suzanne L. 1 1999 Superconvergence of mixed finite element approximations over quadrilaterals. Zbl 0926.65107 Ewing, Richard E.; Liu, Michael M.; Wang, Junping 43 1998 Domain decomposition operator splittings for the solution of parabolic equations. Zbl 0914.65099 Mathew, T. P.; Polyakov, P. L.; Russo, G.; Wang, J. 25 1998 Stabilizing the hierarchical basis by approximate wavelets. I: Theory. Zbl 0889.65126 Vassilevskij, P. S.; Wang, J. 9 1997 Some new error estimates for Ritz-Galerkin methods with minimal regularity assumptions. Zbl 0856.65129 Schatz, Alfred H.; Wang, Junping 35 1996 An application of the abstract multilevel theory to nonconforming finite element methods. Zbl 0828.65125 Vassilevski, Panayot S.; Wang, Junping 16 1995 Mixed finite element methods over quadrilaterals. Zbl 0813.65120 Wang, Junping; Mathew, Tarek 24 1994 Analysis of multilevel decomposition iterative methods for mixed finite element methods. Zbl 0823.65035 Ewing, R. E.; Wang, J. 12 1994 New convergence estimates for multilevel algorithms for finite-element approximations. Zbl 0808.65129 Wang, Junping 6 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 42 1993 Convergence analysis of multigrid algorithms for nonselfadjoint and indefinite elliptic problems. Zbl 0774.65082 Wang, Junping 12 1993 Convergence analysis of the Schwarz algorithm and multilevel decomposition iterative methods. II: Nonselfadjoint and indefinite elliptic problems. Zbl 0777.65066 Wang, Junping 10 1993 A new family of mixed finite element spaces over rectangles. Zbl 0806.65109 Douglas, Jim jun.; Wang, Junping 6 1993 Analysis of the Schwarz algorithm for mixed finite elements methods. Zbl 0765.65104 Ewing, R. E.; Wang, J. 27 1992 Multilevel iterative methods for mixed finite element discretizations of elliptic problems. Zbl 0797.65086 Vassilevski, Panayot S.; Wang, Junping 25 1992 Analysis of mixed finite element methods on locally refined grids. Zbl 0772.65071 Ewing, Richard E.; Wang, Junping 11 1992 Convergence analysis without regularity assumptions for multigrid algorithms based on SOR smoothing. Zbl 0753.65093 Wang, Junping 11 1992 Convergence analysis of Schwarz algorithm and multilevel decomposition iterative methods. I: Selfadjoint and positive definite elliptic problems. Zbl 0785.65115 Wang, Junping 5 1992 The Schwarz algorithm and multilevel decomposition iterative techniques for mixed finite element methods. Zbl 0770.65084 Ewing, Richard E.; Wang, Junping 3 1992 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,765 Authors 82 Ye, Xiu 65 Zhang, Shangyou 60 Wang, Junping 45 Mu, Lin 30 Li, Jian 30 Wang, Chunmei 29 Feng, Minfu 28 Wang, Xiaoshen 27 Zhang, Ran 26 Zhang, Zhimin 24 He, Yinnian 24 Huang, Yunqing 24 Lin, Tao 24 Zhai, Qilong 22 Chen, Zhangxin 22 Gao, Fuzheng 19 Zhu, Peng 18 Deka, Bhupen 17 Wang, Ruishu 17 Xu, Jinchao 16 Chen, Long 16 He, Xiaoming 16 Li, Jichun 16 Rui, Hongxing 15 Chen, Yanping 15 Zhang, Tie 15 Zhang, Xu 15 Zhao, Lina 14 Kumar, Naresh 14 Liu, Jiangguo 14 Park, Eun-Jae 13 Chen, Jinru 13 Di Pietro, Daniele Antonio 13 Ern, Alexandre 13 Pasciak, Joseph E. 13 Xie, Xiaoping 13 Xu, Xuejun 12 Dehghan Takht Fooladi, Mehdi 12 Kwak, Do Young 12 Portero, Laura 12 Shi, Dongyang 12 Wang, Yanqiu 11 Arrarás, Andres 11 Brenner, Susanne Cecelia 11 Hughes, Thomas J. R. 11 Lin, Qun 11 Song, Lunji 11 Yang, Danping 11 Yotov, Ivan 10 Adjerid, Slimane 10 Bramble, James H. 10 Cao, Waixiang 10 Cao, Yong 10 Cui, Jintao 10 Lin, Yanping 10 Vassilevski, Panayot Spirov 10 Wang, Gang 10 Wang, Xiuli 10 Yi, Nianyu 10 Zikatanov, Ludmil T. 9 Al-Taweel, Ahmed 9 Chung, Tsz Shun Eric 9 Hussain, Saqib 9 Li, Dan 9 Yan, Ningning 9 Yuan, Guangwei 9 Zhang, Kai 9 Zhao, Shan 8 Buscaglia, Gustavo Carlos 8 Carstensen, Carsten 8 Codina, Ramon 8 Douglas, Jim jun. 8 Ewing, Richard Edward 8 Franca, Leopoldo Luis Cabo Penna 8 Li, Rui 8 Pani, Amiya Kumar 8 Sheen, Dongwoo 8 Toprakseven, Şuayip 8 Wang, Feng 8 Xie, Shenglan 8 Zeng, Jinping 8 Zou, Yongkui 7 Cao, Shuhao 7 Cockburn, Bernardo 7 Droniou, Jérôme 7 Duan, Huoyuan 7 Feng, Xinlong 7 Hou, Tianliang 7 Hu, Jun 7 Hu, Xiaozhe 7 Lazarov, Raytcho D. 7 Li, Jingzhi 7 Li, Yonghai 7 Liu, Kaifang 7 Neilan, Michael 7 Nie, Yufeng 7 Qiu, Weifeng 7 Sousa, Fabrício S. 7 Wang, Liqun 7 Wei, Guowei ...and 1,665 more Authors all top 5 Cited in 148 Serials 167 Journal of Computational and Applied Mathematics 143 Computer Methods in Applied Mechanics and Engineering 109 Computers & Mathematics with Applications 96 Journal of Scientific Computing 85 Applied Numerical Mathematics 78 Journal of Computational Physics 73 Numerical Methods for Partial Differential Equations 71 Applied Mathematics and Computation 65 Mathematics of Computation 51 Numerische Mathematik 43 SIAM Journal on Numerical Analysis 35 SIAM Journal on Scientific Computing 35 Advances in Computational Mathematics 22 Communications in Computational Physics 20 Numerical Algorithms 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 18 Advances in Applied Mathematics and Mechanics 17 Numerical Linear Algebra with Applications 17 International Journal of Numerical Analysis and Modeling 15 Calcolo 15 Computational and Applied Mathematics 13 Applications of Mathematics 13 M\(^3\)AS. 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