Edit Profile (opens in new tab) Wang, Junping Compute Distance To: Compute 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: 111 Publications since 1984 Co-Authors: 55 Co-Authors with 103 Joint Publications 2,334 Co-Co-Authors all top 5 Co-Authors 8 single-authored 39 Ye, Xiu 19 Mu, Lin 16 Ewing, Richard Edward 16 Wang, Chunmei 10 Wang, Yanqiu 6 Lin, Yanping 6 Zhang, Ran 6 Zhang, Shangyou 4 Douglas, Jim jun. 4 Liu, Yujie 4 Vassilevski, Panayot Spirov 3 Badea, Lori 3 Cao, Waixiang 3 Lin, Qun 3 Zhai, Qilong 3 Zhang, Shuhua 3 Zhao, Shan 2 Bramble, James H. 2 Chen, Long 2 Li, Dan 2 Mathew, Tarek P. A. 2 Pasciak, Joseph E. 2 Tai, Xuecheng 2 Wang, Ruishu 2 Weekes, Suzanne L. 2 Xu, Jinchao 2 Yang, Yongjun 1 Cao, Shuhao 1 Chen, Benito M. 1 Chen, Hongsen 1 Duran, R. 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 Qi, Wenya 1 Roberts, Jean Elizabeth 1 Russo, Giovanni 1 Schatz, Alfred H. 1 Seshaiyer, Padmanabhan 1 Shen, Jian 1 Sun, Tong 1 Underwood, Robert G. 1 Wang, Xiaoshen 1 Wei, Guowei 1 Wo, Shaochang 1 Yang, Xiaozhong 1 Zou, Qingsong all top 5 Serials 17 SIAM Journal on Numerical Analysis 13 Journal of Computational and Applied Mathematics 10 Mathematics of Computation 9 International Journal of Numerical Analysis and Modeling 6 Journal of Computational Physics 6 Journal of Scientific Computing 5 Computers & Mathematics with Applications 5 SIAM Journal on Scientific Computing 4 Numerische Mathematik 3 Applied Numerical Mathematics 3 Numerical Methods for Partial Differential Equations 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 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 Communications in Computational Physics 1 Scientia Sinica. Mathematica 1 Electronic Research Archive all top 5 Fields 103 Numerical analysis (65-XX) 84 Partial differential equations (35-XX) 29 Fluid mechanics (76-XX) 5 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 105 Publications have been cited 3,203 times in 1,417 Documents Cited by ▼ Year ▼ A weak Galerkin finite element method for second-order elliptic problems. Zbl 1261.65121Wang, Junping; Ye, Xiu 315 2013 A weak Galerkin mixed finite element method for second order elliptic problems. Zbl 1308.65202Wang, Junping; Ye, Xiu 280 2014 An absolutely stabilized finite element method for the Stokes problem. Zbl 0669.76051Douglas, Jim jun.; Wang, Junping 177 1989 A weak Galerkin finite element method for the Stokes equations. Zbl 1382.76178Wang, Junping; Ye, Xiu 125 2016 Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes. Zbl 1314.65151Mu, Lin; Wang, Junping; Ye, Xiu 117 2014 Weak Galerkin finite element methods on polytopal meshes. Zbl 1332.65172Mu, Lin; Wang, Junping; Ye, Xiu 107 2015 A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou 106 2015 Weak Galerkin methods for second order elliptic interface problems. Zbl 1349.65472Mu, Lin; Wang, Junping; Wei, Guowei; Ye, Xiu; Zhao, Shan 99 2013 Convergence estimates for multigrid algorithms without regularity assumptions. Zbl 0727.65101Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao 83 1991 A weak Galerkin finite element method with polynomial reduction. Zbl 1315.65099Mu, Lin; Wang, Junping; Ye, Xiu 78 2015 A computational study of the weak Galerkin method for second-order elliptic equations. Zbl 1271.65140Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu 74 2013 Convergence estimates for product iterative methods with applications to domain decomposition. Zbl 0754.65085Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao 71 1991 A new weak Galerkin finite element method for elliptic interface problems. Zbl 1380.65383Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan 59 2016 An efficient numerical scheme for the biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes. Zbl 1361.35058Wang, Chunmei; Wang, Junping 55 2014 A new weak Galerkin finite element method for the Helmholtz equation. Zbl 1323.65116Mu, Lin; Wang, Junping; Ye, Xiu 55 2015 A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods. Zbl 1351.76072Mu, Lin; Wang, Junping; Ye, Xiu 53 2014 A \(C^0\)-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou 51 2014 Superconvergence of the velocity along the Gauss lines in mixed finite element methods. Zbl 0733.65065Ewing, R. E.; Lazarov, R. D.; Wang, J. 50 1991 Weak Galerkin finite element methods for parabolic equations. Zbl 1307.65133Li, Qiaoluan H.; Wang, Junping 50 2013 A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems. Zbl 1307.65153Chen, Long; Wang, Junping; Ye, Xiu 49 2014 A weak Galerkin mixed finite element method for biharmonic equations. Zbl 1283.65109Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu 47 2013 Three-dimensional immersed finite element methods for electric field simulation in composite materials. Zbl 1122.78018Kafafy, R.; Lin, T.; Lin, Y.; Wang, J. 46 2005 New finite element methods in computational fluid dynamics by \(H(\mathrm{div})\) elements. Zbl 1138.76049Wang, Junping; Ye, Xiu 43 2007 A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods. Zbl 0813.65122Douglas, J. jun.; Leme, P. J. Paes; Roberts, J. E.; Wang, Junping 40 1993 Superconvergence of mixed finite element approximations over quadrilaterals. Zbl 0926.65107Ewing, Richard E.; Liu, Michael M.; Wang, Junping 40 1998 Superconvergence of finite element approximations for the Stokes problem by projection methods. Zbl 1002.65118Wang, Junping; Ye, Xiu 39 2001 A primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form. Zbl 1380.65390Wang, Chunmei; Wang, Junping 39 2018 A locking-free weak Galerkin finite element method for elasticity problems in the primal formulation. Zbl 1338.74104Wang, Chunmei; Wang, Junping; Wang, Ruishu; Zhang, Ran 39 2016 A numerical study on the weak Galerkin method for the Helmholtz equation. Zbl 1388.65156Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan 35 2014 Some new error estimates for Ritz-Galerkin methods with minimal regularity assumptions. Zbl 0856.65129Schatz, Alfred H.; Wang, Junping 33 1996 Sharp L\(^{2}\)-error estimates and superconvergence of mixed finite element methods for non-Fickian flows in porous media. Zbl 1044.76032Ewing, Richard E.; Lin, Yanping; Sun, Tong; Wang, Junping; Zhang, Shuhua 28 2002 Analysis of the Schwarz algorithm for mixed finite elements methods. Zbl 0765.65104Ewing, R. E.; Wang, J. 26 1992 Superconvergence analysis for finite element solutions by the least-squares surface fitting on irregular meshes for smooth problems. Zbl 0987.65108Wang, Junping 26 2000 Domain decomposition operator splittings for the solution of parabolic equations. Zbl 0914.65099Mathew, T. P.; Polyakov, P. L.; Russo, G.; Wang, J. 25 1998 Superconvergence for the gradient of finite element approximations by L\(^{2}\) projections. Zbl 1047.65095Heimsund, Bjørn-Ove; Tai, Xue-Cheng; Wang, Junping 24 2002 A robust numerical method for Stokes equations based on divergence-free \(H\)(div) finite element methods. Zbl 1407.76074Wang, Junping; Wang, Yanqiu; Ye, Xiu 24 2009 Convergence rate analysis of a multiplicative Schwarz method for variational inequalities. Zbl 1052.65058Badea, Lori; Tai, Xue-Cheng; Wang, Junping 24 2003 Multilevel iterative methods for mixed finite element discretizations of elliptic problems. Zbl 0797.65086Vassilevski, Panayot S.; Wang, Junping 24 1992 Mixed finite element methods over quadrilaterals. Zbl 0813.65120Wang, Junping; Mathew, Tarek 22 1994 Sharp maximum norm error estimates for finite element approximations of the Stokes problem in 2-D. Zbl 0699.76038Durán, R.; Nochetto, R. H.; Wang, Junping 21 1988 Maximum principles for \(P_1\)-conforming finite element approximations of quasi-linear second order elliptic equations. Zbl 1250.65144Wang, Junping; Zhang, Ran 20 2012 Asymptotic expansions and \(L^{\infty}\)-error estimates for mixed finite element methods for second order elliptic problems. Zbl 0676.65109Wang, Junping 19 1989 Superconvergence of mixed finite element methods on rectangular domains. Zbl 0714.65084Douglas, Jim jun.; Wang, Junping 19 1989 A weak Galerkin finite element scheme for the Cahn-Hilliard equation. Zbl 1420.65128Wang, Junping; Zhai, Qilong; Zhang, Ran; Zhang, Shangyou 19 2019 An additive Schwarz method for variational inequalities. Zbl 0954.65051Badea, Lori; Wang, Junping 17 2000 \(L^\infty\)-error estimates and superconvergence in maximum norm of mixed finite element methods for nonfickian flows in porous media. Zbl 1151.76594Ewing, Richard E.; Lin, Yanping; Wang, Junping; Zhang, Shuhua 16 2005 Discretization of div-curl systems by weak Galerkin finite element methods on polyhedral partitions. Zbl 1353.65125Wang, Chunmei; Wang, Junping 15 2016 A hybridized weak Galerkin finite element method for the biharmonic equation. Zbl 1337.65160Wang, Chunmei; Wang, Junping 15 2015 An application of the abstract multilevel theory to nonconforming finite element methods. Zbl 0828.65125Vassilevski, Panayot S.; Wang, Junping 15 1995 Asymptotic expansions and Richardson extrapolation of approximate solutions for second order elliptic problems on rectangular domains by mixed finite element methods. Zbl 1388.76359Fairweather, Graeme; Lin, Qun; Lin, Yanping; Wang, Junping; Zhang, Shuhua 14 2006 A stabilized discontinuous finite element method for elliptic problems. Zbl 1071.65551Ewing, Richard E.; Wang, Junping; Yang, Yongjun 13 2003 Unified a posteriori error estimator for finite element methods for the Stokes equations. Zbl 1452.76059Wang, Junping; Wang, Yanqiu; Ye, Xiu 13 2013 A systematic study on weak Galerkin finite element methods for second order elliptic problems. Zbl 1398.65311Wang, Junping; Wang, Ruishu; Zhai, Qilong; Zhang, Ran 13 2018 Superconvergence and extrapolation for mixed finite element methods on rectangular domains. Zbl 0729.65084Wang, Junping 12 1991 A posteriori error estimate for stabilized finite element methods for the Stokes equations. Zbl 1431.76093Wang, Junping; Wang, Yanqiu; Ye, Xiu 12 2012 Analysis of multilevel decomposition iterative methods for mixed finite element methods. Zbl 0823.65035Ewing, R. E.; Wang, J. 12 1994 Convergence analysis of multigrid algorithms for nonselfadjoint and indefinite elliptic problems. Zbl 0774.65082Wang, Junping 11 1993 Analysis of mixed finite element methods on locally refined grids. Zbl 0772.65071Ewing, Richard E.; Wang, Junping 11 1992 Convergence analysis without regularity assumptions for multigrid algorithms based on SOR smoothing. Zbl 0753.65093Wang, Junping 11 1992 Stabilizing the hierarchical basis by approximate wavelets. II: Implementation and numerical results. Zbl 0924.65108Vassilevski, Panayot S.; Wang, Junping 11 1999 Convergence analysis of the Schwarz algorithm and multilevel decomposition iterative methods. II: Nonselfadjoint and indefinite elliptic problems. Zbl 0777.65066Wang, Junping 10 1993 A hybridized formulation for the weak Galerkin mixed finite element method. Zbl 1338.76063Mu, Lin; Wang, Junping; Ye, Xiu 10 2016 An interior estimate of superconvergence for finite element solutions for second-order elliptic problems on quasi-uniform meshes by local projections. Zbl 1058.65118Chen, Hongsen; Wang, Junping 9 2003 Stabilizing the hierarchical basis by approximate wavelets. I: Theory. Zbl 0889.65126Vassilevskij, P. S.; Wang, J. 9 1997 A numerical approximation of non-Fickian flows with mixing length growth in porous media. Zbl 1007.76036Ewing, R. E.; Lin, Y.; Wang, J. 9 2001 Primal-dual weak Galerkin finite element methods for elliptic Cauchy problems. Zbl 1443.65374Wang, Chunmei; Wang, Junping 9 2020 Finite element methods for the Navier-Stokes equations by \(H\)(div) elements. Zbl 1174.76012Wang, Junping; Wang, Xiaoshen; Ye, Xiu 8 2008 A discrete divergence free weak Galerkin finite element method for the Stokes equations. Zbl 1378.76051Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou 8 2018 Interior penalty discontinuous Galerkin method on very general polygonal and polyhedral meshes. Zbl 1291.65347Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu 8 2014 A least-squares-based weak Galerkin finite element method for second order elliptic equations. Zbl 1404.65233Mu, Lin; Wang, Junping; Ye, Xiu 8 2017 A unified a posteriori error estimator for finite volume methods for the Stokes equations. Zbl 1453.65392Wang, Junping; Wang, Yanqiu; Ye, Xiu 7 2018 Superconvergence of the gradient approximation for weak Galerkin finite element methods on nonuniform rectangular partitions. Zbl 1434.65266Li, Dan; Wang, Chunmei; Wang, Junping 7 2020 Simplified weak Galerkin and new finite difference schemes for the Stokes equation. Zbl 1422.65397Liu, Yujie; Wang, Junping 7 2019 A primal-dual weak Galerkin finite element method for Fokker-Planck type equations. Zbl 1466.65206Wang, Chunmei; Wang, Junping 7 2020 An auxiliary space multigrid preconditioner for the weak Galerkin method. Zbl 1443.65319Chen, Long; Wang, Junping; Wang, Yanqiu; Ye, Xiu 7 2015 A new superconvergence for mixed finite element approximations. Zbl 1036.65083Ewing, Richard E.; Liu, Mingjun; Wang, Junping 6 2002 A new family of mixed finite element spaces over rectangles. Zbl 0806.65109Douglas, Jim jun.; Wang, Junping 6 1993 Basics of weak Galerkin finite element methods. Zbl 1374.65196Wang, Junping; Ye, Xiu; Zhang, Ran 6 2016 Effective implementation of the weak Galerkin finite element methods for the biharmonic equation. Zbl 1397.65283Mu, Lin; Wang, Junping; Ye, Xiu 6 2017 New convergence estimates for multilevel algorithms for finite-element approximations. Zbl 0808.65129Wang, Junping 5 1994 Convergence analysis of Schwarz algorithm and multilevel decomposition iterative methods. I: Selfadjoint and positive definite elliptic problems. Zbl 0785.65115Wang, Junping 5 1992 A primal-dual finite element method for first-order transport problems. Zbl 1437.65201Wang, Chunmei; Wang, Junping 5 2020 A posteriori error estimation for an interior penalty type method employing \(H(\text{div})\) elements for the Stokes equations. Zbl 1261.76017Wang, Junping; Wang, Yanqiu; Ye, Xiu 5 2011 Some expansions of the finite element approximation. Zbl 0553.65071Lin, Qun; Wang, Junping 4 1984 A weak Galerkin generalized multiscale finite element method. Zbl 1337.65156Mu, Lin; Wang, Junping; Ye, Xiu 4 2016 A weak Galerkin method for the Reissner-Mindlin plate in primary form. Zbl 1398.65273Mu, Lin; Wang, Junping; Ye, Xiu 4 2018 Discrete maximum principle for the \(P_{1}\)-\(P_{0}\) weak Galerkin finite element approximations. Zbl 1395.65146Wang, Junping; Ye, Xiu; Zhai, Qilong; Zhang, Ran 4 2018 An integral representation and computation for the solution of American options. Zbl 1011.91049Underwood, Robert; Wang, Junping 3 2002 A superconvergent finite element scheme for the Reissner-Mindlin plate by projection methods. Zbl 1085.74047Wang, Junping; Ye, Xiu 3 2004 The Schwarz algorithm and multilevel decomposition iterative techniques for mixed finite element methods. Zbl 0770.65084Ewing, Richard E.; Wang, Junping 3 1992 Superconvergence by \(L^2\)-projections for stabilized finite element methods for the Stokes equations. Zbl 1499.65672Li, Jian; Wang, Junping; Ye, Xiu 3 2009 Weak Galerkin finite element methods for elliptic PDEs. Zbl 1488.65655Wang, Junping; Wang, Chunmei 3 2015 A conservative flux optimization finite element method for convection-diffusion equations. Zbl 1422.65398Liu, Yujie; Wang, Junping; Zou, Qingsong 3 2019 Backward Euler mixed FEM and regularity of parabolic integro-differential equations with non-smooth data. Zbl 1115.76048Ewing, Richard E.; Lin, Yanping; Wang, Junping; Yang, Xiaozhong 2 2006 A primal-dual finite element method for transport equations in non-divergence form. Zbl 1486.65256Li, Dan; Wang, Chunmei; Wang, Junping 2 2022 De Rham complexes for weak Galerkin finite element spaces. Zbl 1476.65310Wang, Chunmei; Wang, Junping; Ye, Xiu; Zhang, Shangyou 2 2021 A high-order Godunov method for one-dimensional convection-diffusion-reaction problems. Zbl 0967.65093Wo, Shaochang; Chen, Benito M.; Wang, Junping 1 2000 Expansion and extrapolation for the finite element method. Zbl 0586.65078Wang, Junping; Lin, Qun 1 1985 A study of free boundary problems of fluid flow in porous media by mixed methods. Zbl 0929.35179Badea, L.; Ewing, R. E.; Wang, J. 1 1999 Point-distributed algorithms on locally refined grids for second order elliptic equations. Zbl 1019.65089Ewing, Richard E.; Shen, Jian; Wang, Junping 1 2001 An \(L^p\)-primal-dual weak Galerkin method for convection-diffusion equations. Zbl 1496.65207Cao, Waixiang; Wang, Chunmei; Wang, Junping 1 2023 A primal-dual finite element method for transport equations in non-divergence form. Zbl 1486.65256Li, Dan; Wang, Chunmei; Wang, Junping 2 2022 A new numerical method for div-curl systems with low regularity assumptions. Zbl 07537394Cao, Shuhao; Wang, Chunmei; Wang, Junping 1 2022 De Rham complexes for weak Galerkin finite element spaces. Zbl 1476.65310Wang, Chunmei; Wang, Junping; Ye, Xiu; Zhang, Shangyou 2 2021 Primal-dual weak Galerkin finite element methods for elliptic Cauchy problems. Zbl 1443.65374Wang, Chunmei; Wang, Junping 9 2020 Superconvergence of the gradient approximation for weak Galerkin finite element methods on nonuniform rectangular partitions. Zbl 1434.65266Li, Dan; Wang, Chunmei; Wang, Junping 7 2020 A primal-dual weak Galerkin finite element method for Fokker-Planck type equations. Zbl 1466.65206Wang, Chunmei; Wang, Junping 7 2020 A primal-dual finite element method for first-order transport problems. Zbl 1437.65201Wang, Chunmei; Wang, Junping 5 2020 Numerical investigation on weak Galerkin finite elements. Zbl 1488.65656Wang, Junping; Ye, Xiu; Zhang, Shangyou 1 2020 A weak Galerkin finite element scheme for the Cahn-Hilliard equation. Zbl 1420.65128Wang, Junping; Zhai, Qilong; Zhang, Ran; Zhang, Shangyou 19 2019 Simplified weak Galerkin and new finite difference schemes for the Stokes equation. Zbl 1422.65397Liu, Yujie; Wang, Junping 7 2019 A conservative flux optimization finite element method for convection-diffusion equations. Zbl 1422.65398Liu, Yujie; Wang, Junping; Zou, Qingsong 3 2019 A primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form. Zbl 1380.65390Wang, Chunmei; Wang, Junping 39 2018 A systematic study on weak Galerkin finite element methods for second order elliptic problems. Zbl 1398.65311Wang, Junping; Wang, Ruishu; Zhai, Qilong; Zhang, Ran 13 2018 A discrete divergence free weak Galerkin finite element method for the Stokes equations. Zbl 1378.76051Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou 8 2018 A unified a posteriori error estimator for finite volume methods for the Stokes equations. Zbl 1453.65392Wang, Junping; Wang, Yanqiu; Ye, Xiu 7 2018 A weak Galerkin method for the Reissner-Mindlin plate in primary form. Zbl 1398.65273Mu, Lin; Wang, Junping; Ye, Xiu 4 2018 Discrete maximum principle for the \(P_{1}\)-\(P_{0}\) weak Galerkin finite element approximations. Zbl 1395.65146Wang, Junping; Ye, Xiu; Zhai, Qilong; Zhang, Ran 4 2018 A least-squares-based weak Galerkin finite element method for second order elliptic equations. Zbl 1404.65233Mu, Lin; Wang, Junping; Ye, Xiu 8 2017 Effective implementation of the weak Galerkin finite element methods for the biharmonic equation. Zbl 1397.65283Mu, Lin; Wang, Junping; Ye, Xiu 6 2017 A weak Galerkin finite element method for the Stokes equations. Zbl 1382.76178Wang, Junping; Ye, Xiu 125 2016 A new weak Galerkin finite element method for elliptic interface problems. Zbl 1380.65383Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan 59 2016 A locking-free weak Galerkin finite element method for elasticity problems in the primal formulation. Zbl 1338.74104Wang, Chunmei; Wang, Junping; Wang, Ruishu; Zhang, Ran 39 2016 Discretization of div-curl systems by weak Galerkin finite element methods on polyhedral partitions. Zbl 1353.65125Wang, Chunmei; Wang, Junping 15 2016 A hybridized formulation for the weak Galerkin mixed finite element method. Zbl 1338.76063Mu, Lin; Wang, Junping; Ye, Xiu 10 2016 Basics of weak Galerkin finite element methods. Zbl 1374.65196Wang, Junping; Ye, Xiu; Zhang, Ran 6 2016 A weak Galerkin generalized multiscale finite element method. Zbl 1337.65156Mu, Lin; Wang, Junping; Ye, Xiu 4 2016 Weak Galerkin finite element methods on polytopal meshes. Zbl 1332.65172Mu, Lin; Wang, Junping; Ye, Xiu 107 2015 A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou 106 2015 A weak Galerkin finite element method with polynomial reduction. Zbl 1315.65099Mu, Lin; Wang, Junping; Ye, Xiu 78 2015 A new weak Galerkin finite element method for the Helmholtz equation. Zbl 1323.65116Mu, Lin; Wang, Junping; Ye, Xiu 55 2015 A hybridized weak Galerkin finite element method for the biharmonic equation. Zbl 1337.65160Wang, Chunmei; Wang, Junping 15 2015 An auxiliary space multigrid preconditioner for the weak Galerkin method. Zbl 1443.65319Chen, Long; Wang, Junping; Wang, Yanqiu; Ye, Xiu 7 2015 Weak Galerkin finite element methods for elliptic PDEs. Zbl 1488.65655Wang, Junping; Wang, Chunmei 3 2015 A weak Galerkin mixed finite element method for second order elliptic problems. Zbl 1308.65202Wang, Junping; Ye, Xiu 280 2014 Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes. Zbl 1314.65151Mu, Lin; Wang, Junping; Ye, Xiu 117 2014 An efficient numerical scheme for the biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes. Zbl 1361.35058Wang, Chunmei; Wang, Junping 55 2014 A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods. Zbl 1351.76072Mu, Lin; Wang, Junping; Ye, Xiu 53 2014 A \(C^0\)-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou 51 2014 A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems. Zbl 1307.65153Chen, Long; Wang, Junping; Ye, Xiu 49 2014 A numerical study on the weak Galerkin method for the Helmholtz equation. Zbl 1388.65156Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan 35 2014 Interior penalty discontinuous Galerkin method on very general polygonal and polyhedral meshes. Zbl 1291.65347Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu 8 2014 A weak Galerkin finite element method for second-order elliptic problems. Zbl 1261.65121Wang, Junping; Ye, Xiu 315 2013 Weak Galerkin methods for second order elliptic interface problems. Zbl 1349.65472Mu, Lin; Wang, Junping; Wei, Guowei; Ye, Xiu; Zhao, Shan 99 2013 A computational study of the weak Galerkin method for second-order elliptic equations. Zbl 1271.65140Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu 74 2013 Weak Galerkin finite element methods for parabolic equations. Zbl 1307.65133Li, Qiaoluan H.; Wang, Junping 50 2013 A weak Galerkin mixed finite element method for biharmonic equations. Zbl 1283.65109Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu 47 2013 Unified a posteriori error estimator for finite element methods for the Stokes equations. Zbl 1452.76059Wang, Junping; Wang, Yanqiu; Ye, Xiu 13 2013 Maximum principles for \(P_1\)-conforming finite element approximations of quasi-linear second order elliptic equations. Zbl 1250.65144Wang, Junping; Zhang, Ran 20 2012 A posteriori error estimate for stabilized finite element methods for the Stokes equations. Zbl 1431.76093Wang, Junping; Wang, Yanqiu; Ye, Xiu 12 2012 A posteriori error estimation for an interior penalty type method employing \(H(\text{div})\) elements for the Stokes equations. Zbl 1261.76017Wang, Junping; Wang, Yanqiu; Ye, Xiu 5 2011 A new finite volume method for the Stokes problems. Zbl 1499.65622Wang, Junping; Wang, Yanqiu; Ye, Xiu 1 2010 A robust numerical method for Stokes equations based on divergence-free \(H\)(div) finite element methods. Zbl 1407.76074Wang, Junping; Wang, Yanqiu; Ye, Xiu 24 2009 Superconvergence by \(L^2\)-projections for stabilized finite element methods for the Stokes equations. Zbl 1499.65672Li, Jian; Wang, Junping; Ye, Xiu 3 2009 Finite element methods for the Navier-Stokes equations by \(H\)(div) elements. Zbl 1174.76012Wang, Junping; Wang, Xiaoshen; Ye, Xiu 8 2008 New finite element methods in computational fluid dynamics by \(H(\mathrm{div})\) elements. Zbl 1138.76049Wang, Junping; Ye, Xiu 43 2007 Asymptotic expansions and Richardson extrapolation of approximate solutions for second order elliptic problems on rectangular domains by mixed finite element methods. Zbl 1388.76359Fairweather, 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 1115.76048Ewing, Richard E.; Lin, Yanping; Wang, Junping; Yang, Xiaozhong 2 2006 Three-dimensional immersed finite element methods for electric field simulation in composite materials. Zbl 1122.78018Kafafy, R.; Lin, T.; Lin, Y.; Wang, J. 46 2005 \(L^\infty\)-error estimates and superconvergence in maximum norm of mixed finite element methods for nonfickian flows in porous media. Zbl 1151.76594Ewing, Richard E.; Lin, Yanping; Wang, Junping; Zhang, Shuhua 16 2005 A superconvergent finite element scheme for the Reissner-Mindlin plate by projection methods. Zbl 1085.74047Wang, Junping; Ye, Xiu 3 2004 Convergence rate analysis of a multiplicative Schwarz method for variational inequalities. Zbl 1052.65058Badea, Lori; Tai, Xue-Cheng; Wang, Junping 24 2003 A stabilized discontinuous finite element method for elliptic problems. Zbl 1071.65551Ewing, Richard E.; Wang, Junping; Yang, Yongjun 13 2003 An interior estimate of superconvergence for finite element solutions for second-order elliptic problems on quasi-uniform meshes by local projections. Zbl 1058.65118Chen, Hongsen; Wang, Junping 9 2003 Sharp L\(^{2}\)-error estimates and superconvergence of mixed finite element methods for non-Fickian flows in porous media. Zbl 1044.76032Ewing, Richard E.; Lin, Yanping; Sun, Tong; Wang, Junping; Zhang, Shuhua 28 2002 Superconvergence for the gradient of finite element approximations by L\(^{2}\) projections. Zbl 1047.65095Heimsund, Bjørn-Ove; Tai, Xue-Cheng; Wang, Junping 24 2002 A new superconvergence for mixed finite element approximations. Zbl 1036.65083Ewing, Richard E.; Liu, Mingjun; Wang, Junping 6 2002 An integral representation and computation for the solution of American options. Zbl 1011.91049Underwood, Robert; Wang, Junping 3 2002 Superconvergence of finite element approximations for the Stokes problem by projection methods. Zbl 1002.65118Wang, Junping; Ye, Xiu 39 2001 A numerical approximation of non-Fickian flows with mixing length growth in porous media. Zbl 1007.76036Ewing, R. E.; Lin, Y.; Wang, J. 9 2001 Point-distributed algorithms on locally refined grids for second order elliptic equations. Zbl 1019.65089Ewing, 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 0987.65108Wang, Junping 26 2000 An additive Schwarz method for variational inequalities. Zbl 0954.65051Badea, Lori; Wang, Junping 17 2000 A high-order Godunov method for one-dimensional convection-diffusion-reaction problems. Zbl 0967.65093Wo, Shaochang; Chen, Benito M.; Wang, Junping 1 2000 Stabilizing the hierarchical basis by approximate wavelets. II: Implementation and numerical results. Zbl 0924.65108Vassilevski, Panayot S.; Wang, Junping 11 1999 A study of free boundary problems of fluid flow in porous media by mixed methods. Zbl 0929.35179Badea, L.; Ewing, R. E.; Wang, J. 1 1999 On the simulation on multicomponent gas flow in porous media. Zbl 0940.76033Ewing, Richard E.; Wang, Junping; Weekes, Suzanne L. 1 1999 Superconvergence of mixed finite element approximations over quadrilaterals. Zbl 0926.65107Ewing, Richard E.; Liu, Michael M.; Wang, Junping 40 1998 Domain decomposition operator splittings for the solution of parabolic equations. Zbl 0914.65099Mathew, T. P.; Polyakov, P. L.; Russo, G.; Wang, J. 25 1998 Stabilizing the hierarchical basis by approximate wavelets. I: Theory. Zbl 0889.65126Vassilevskij, P. S.; Wang, J. 9 1997 Some new error estimates for Ritz-Galerkin methods with minimal regularity assumptions. Zbl 0856.65129Schatz, Alfred H.; Wang, Junping 33 1996 An application of the abstract multilevel theory to nonconforming finite element methods. Zbl 0828.65125Vassilevski, Panayot S.; Wang, Junping 15 1995 Mixed finite element methods over quadrilaterals. Zbl 0813.65120Wang, Junping; Mathew, Tarek 22 1994 Analysis of multilevel decomposition iterative methods for mixed finite element methods. Zbl 0823.65035Ewing, R. E.; Wang, J. 12 1994 New convergence estimates for multilevel algorithms for finite-element approximations. Zbl 0808.65129Wang, Junping 5 1994 A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods. Zbl 0813.65122Douglas, J. jun.; Leme, P. J. Paes; Roberts, J. E.; Wang, Junping 40 1993 Convergence analysis of multigrid algorithms for nonselfadjoint and indefinite elliptic problems. Zbl 0774.65082Wang, Junping 11 1993 Convergence analysis of the Schwarz algorithm and multilevel decomposition iterative methods. II: Nonselfadjoint and indefinite elliptic problems. Zbl 0777.65066Wang, Junping 10 1993 A new family of mixed finite element spaces over rectangles. Zbl 0806.65109Douglas, Jim jun.; Wang, Junping 6 1993 Analysis of the Schwarz algorithm for mixed finite elements methods. Zbl 0765.65104Ewing, R. E.; Wang, J. 26 1992 Multilevel iterative methods for mixed finite element discretizations of elliptic problems. Zbl 0797.65086Vassilevski, Panayot S.; Wang, Junping 24 1992 Analysis of mixed finite element methods on locally refined grids. Zbl 0772.65071Ewing, Richard E.; Wang, Junping 11 1992 Convergence analysis without regularity assumptions for multigrid algorithms based on SOR smoothing. Zbl 0753.65093Wang, Junping 11 1992 Convergence analysis of Schwarz algorithm and multilevel decomposition iterative methods. I: Selfadjoint and positive definite elliptic problems. Zbl 0785.65115Wang, Junping 5 1992 The Schwarz algorithm and multilevel decomposition iterative techniques for mixed finite element methods. Zbl 0770.65084Ewing, Richard E.; Wang, Junping 3 1992 Convergence estimates for multigrid algorithms without regularity assumptions. Zbl 0727.65101Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao 83 1991 Convergence estimates for product iterative methods with applications to domain decomposition. Zbl 0754.65085Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao 71 1991 Superconvergence of the velocity along the Gauss lines in mixed finite element methods. Zbl 0733.65065Ewing, R. E.; Lazarov, R. D.; Wang, J. 50 1991 Superconvergence and extrapolation for mixed finite element methods on rectangular domains. Zbl 0729.65084Wang, Junping 12 1991 An absolutely stabilized finite element method for the Stokes problem. Zbl 0669.76051Douglas, Jim jun.; Wang, Junping 177 1989 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,564 Authors 74 Ye, Xiu 56 Zhang, Shangyou 53 Wang, Junping 43 Mu, Lin 27 Li, Jian 25 Wang, Chunmei 24 Feng, Minfu 23 He, Yinnian 23 Lin, Tao 23 Wang, Xiaoshen 23 Zhai, Qilong 22 Huang, Yunqing 22 Zhang, Ran 22 Zhang, Zhimin 21 Chen, Zhangxin 17 Xu, Jinchao 16 Li, Jichun 15 Chen, Yanping 15 Zhang, Tie 15 Zhang, Xu 14 Chen, Long 14 He, Xiaoming 13 Chen, Jinru 13 Di Pietro, Daniele Antonio 13 Gao, Fuzheng 13 Liu, Jiangguo 13 Pasciak, Joseph E. 13 Wang, Ruishu 13 Zhu, Peng 12 Dehghan Takht Fooladi, Mehdi 12 Ern, Alexandre 12 Park, Eun-Jae 12 Portero, Laura 12 Rui, Hongxing 12 Wang, Yanqiu 12 Xu, Xuejun 11 Arrarás, Andres 11 Hughes, Thomas J. R. 11 Lin, Qun 11 Shi, Dongyang 11 Xie, Xiaoping 11 Yang, Danping 11 Zhao, Lina 10 Bramble, James H. 10 Brenner, Susanne Cecelia 10 Lin, Yanping 10 Song, Lunji 9 Vassilevski, Panayot Spirov 9 Wang, Xiuli 9 Yan, Ningning 9 Yotov, Ivan 8 Buscaglia, Gustavo Carlos 8 Cao, Waixiang 8 Codina, Ramon 8 Douglas, Jim jun. 8 Ewing, Richard Edward 8 Franca, Leopoldo Luis Cabo Penna 8 Hussain, Saqib 8 Kwak, Do Young 8 Li, Rui 8 Pani, Amiya Kumar 8 Sheen, Dongwoo 8 Yi, Nianyu 8 Zeng, Jinping 8 Zhang, Kai 8 Zhao, Shan 8 Zikatanov, Ludmil T. 7 Adjerid, Slimane 7 Al-Taweel, Ahmed 7 Cao, Yong 7 Carstensen, Carsten 7 Chung, Tsz Shun Eric 7 Cockburn, Bernardo 7 Deka, Bhupen 7 Duan, Huoyuan 7 Hu, Jun 7 Lazarov, Raytcho D. 7 Neilan, Michael 7 Wei, Guowei 7 Xie, Hehu 7 Yuan, Guangwei 7 Zhu, Yunrong 6 Beirão da Veiga, Lourenço 6 Burman, Erik 6 Cai, Zhiqiang 6 Chen, Gang 6 Chou, So-Hsiang 6 Droniou, Jérôme 6 Feng, Xinlong 6 Ferreira, José Augusto 6 Gatica, Gabriel N. 6 Gharibi, Zeinab 6 Huang, Pengzhan 6 Jorge, Juan Carlos 6 Lai, Mingjun 6 Li, Yonghai 6 Li, Zhilin 6 Nie, Yufeng 6 Nochetto, Ricardo Horacio 6 Qiu, Weifeng ...and 1,464 more Authors all top 5 Cited in 140 Serials 152 Journal of Computational and Applied Mathematics 132 Computer Methods in Applied Mechanics and Engineering 84 Journal of Scientific Computing 78 Computers & Mathematics with Applications 75 Applied Numerical Mathematics 67 Applied Mathematics and Computation 64 Mathematics of Computation 63 Journal of Computational Physics 49 Numerische Mathematik 41 SIAM Journal on Numerical Analysis 41 Numerical Methods for Partial Differential Equations 33 Advances in Computational Mathematics 30 SIAM Journal on Scientific Computing 18 Numerical Algorithms 17 Numerical Linear Algebra with Applications 17 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 14 International Journal of Numerical Analysis and Modeling 13 International Journal of Computer Mathematics 13 Computational and Applied Mathematics 12 Calcolo 12 Computing 12 Applications of Mathematics 11 BIT 11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 10 Mathematics and Computers in Simulation 10 Science China. Mathematics 9 Mathematical Methods in the Applied Sciences 9 Applied Mathematics Letters 9 Mathematical Problems in Engineering 9 Discrete and Continuous Dynamical Systems. Series B 8 Engineering Analysis with Boundary Elements 8 Computational Methods in Applied Mathematics 8 Journal of Numerical Mathematics 8 Electronic Research Archive 7 Journal of Mathematical Analysis and Applications 7 RAIRO. Modélisation Mathématique et Analyse Numérique 6 International Journal for Numerical Methods in Fluids 6 Journal of Computational Mathematics 6 East Asian Journal on Applied Mathematics 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 Communications on Applied Mathematics and Computation 4 International Journal of Computational Methods 4 Results in 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 Applied and Computational Harmonic Analysis 3 Communications in Nonlinear Science and Numerical Simulation 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Advances in Difference Equations 3 Journal of Applied Analysis and Computation 2 International Journal of Control 2 Chaos, Solitons and Fractals 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Mathematica Numerica Sinica 2 Computing and Visualization in Science 2 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Foundations of Computational Mathematics 2 Journal of Systems Science and Complexity 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Computational Acoustics 2 Boundary Value Problems 2 Numerical Mathematics: Theory, Methods and Applications 2 Advances in Numerical Analysis 2 Journal of the Korean Society for Industrial and Applied Mathematics 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 ...and 40 more Serials all top 5 Cited in 34 Fields 1,281 Numerical analysis (65-XX) 712 Partial differential equations (35-XX) 432 Fluid mechanics (76-XX) 134 Mechanics of deformable solids (74-XX) 43 Optics, electromagnetic theory (78-XX) 42 Calculus of variations and optimal control; optimization (49-XX) 26 Integral equations (45-XX) 23 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 Geophysics (86-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Potential theory (31-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Ordinary differential equations (34-XX) 8 Operator theory (47-XX) 7 Systems theory; control (93-XX) 6 Real functions (26-XX) 6 Functional analysis (46-XX) 6 Probability theory and stochastic processes (60-XX) 5 Combinatorics (05-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Approximations and expansions (41-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-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 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year