Edit Profile (opens in new tab) Chen, Long Co-Author Distance Author ID: chen.long.2 Published as: Chen, Long Homepage: https://www.math.uci.edu/~chenlong/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp Documents Indexed: 102 Publications since 2004, including 23 Additional arXiv Preprints Software Indexed: 2 Packages Co-Authors: 69 Co-Authors with 91 Joint Publications 2,939 Co-Co-Authors all top 5 Co-Authors 11 single-authored 23 Huang, Xuehai 17 Xu, Jinchao 9 Cao, Shuhao 6 Nochetto, Ricardo Horacio 5 Guo, Ruchi 5 Hu, Xiaozhe 5 Wang, Ming 5 Wei, Huayi 5 Wu, Yongke 4 Holst, Michael J. 4 Hu, Jun 4 Wei, Jingrong 4 Zhou, Jie 3 Huang, Yunqing 3 Luo, Hao 3 Shu, Shi 3 Sun, Pengtao 3 Zheng, Bin 3 Zhong, Liuqiang 2 Otárola, Enrique 2 Salgado, Abner J. 2 Wang, Feng 2 Wang, Junping 2 Wang, Wansheng 2 Wu, Huiwen 2 Xie, Xiaoping 2 Xin, Jack X. 2 Ye, Xiu 2 Zhang, Chensong 2 Zhong, Lin 1 Baker, Justin 1 Bertozzi, Andrea Louise 1 Chen, Chunyu 1 Chen, Luoping 1 Cherkaev, Elena 1 Hateley, James C. 1 He, Yinnian 1 Huang, Jian 1 Huang, Jianguo 1 Lee, Seulip 1 Li, Hengguang 1 Lin, Guang 1 Lo, Wing-Cheong 1 Man, Hongying 1 Narayan, Akil C. 1 Nie, Qing 1 Osher, Stanley Joel 1 Park, Eun-Jae 1 Rui, Hongxing 1 Souleyrette, Reginald R. 1 Wang, Bao 1 Wang, Dongwu 1 Wang, Gang 1 Wang, Ruishu 1 Wang, Yanqiu 1 Wang, Yiwei 1 Wang, Yonggang 1 Wen, Min 1 Wise, Steven M. 1 Wittum, Gabriel 1 Wu, Jinbiao 1 Xia, Hedi 1 Xie, Yingying 1 Xu, Peng 1 Xu, Yifeng 1 Yan, Xuedong 1 Zhu, Yunrong 1 Zou, Jun 1 Zu, PengHe all top 5 Serials 13 Journal of Scientific Computing 11 Mathematics of Computation 9 SIAM Journal on Numerical Analysis 3 Computers & Mathematics with Applications 3 Journal of Computational Physics 3 Journal of Computational Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Scientific Computing 2 International Journal of Numerical Analysis and Modeling 2 Communications in Computational Physics 1 IMA Journal of Numerical Analysis 1 Calcolo 1 Journal of Approximation Theory 1 Physica D 1 Computers & Operations Research 1 Numerical Methods for Partial Differential Equations 1 Mathematical Programming. Series A. Series B 1 Numerical Linear Algebra with Applications 1 East Journal on Approximations 1 Computing and Visualization in Science 1 Computational Methods in Applied Mathematics 1 Journal of Numerical Mathematics 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 Results in Applied Mathematics all top 5 Fields 87 Numerical analysis (65-XX) 25 Partial differential equations (35-XX) 10 Global analysis, analysis on manifolds (58-XX) 10 Fluid mechanics (76-XX) 7 Mechanics of deformable solids (74-XX) 5 Operations research, mathematical programming (90-XX) 4 Optics, electromagnetic theory (78-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 3 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 75 Publications have been cited 1,548 times in 1,141 Documents Cited by ▼ Year ▼ Some error analysis on virtual element methods. Zbl 1448.65223 Chen, Long; Huang, Jianguo 115 2018 An interface-fitted mesh generator and virtual element methods for elliptic interface problems. Zbl 1380.65400 Chen, Long; Wei, Huayi; Wen, Min 80 2017 A new class of high order finite volume methods for second order elliptic equations. Zbl 1261.65109 Chen, Long 72 2010 A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems. Zbl 1307.65153 Chen, Long; Wang, Junping; Ye, Xiu 65 2014 The finite element approximation of the nonlinear Poisson-Boltzmann equation. Zbl 1152.65478 Chen, Long; Holst, Michael J.; Xu, Jinchao 61 2007 Convergence and optimality of adaptive mixed finite element methods. Zbl 1198.65211 Chen, Long; Holst, Michael; Xu, Jinchao 50 2009 Two-grid methods for Maxwell eigenvalue problems. Zbl 1304.78015 Zhou, J.; Hu, X.; Zhong, L.; Shu, S.; Chen, Long 50 2014 Nonconforming virtual element method for \(2m\) th order partial differential equations in \(\mathbb{R}^n\). Zbl 1436.65175 Chen, Long; Huang, Xuehai 49 2020 Optimal anisotropic meshes for minimizing interpolation errors in \(L^p\)-norms. Zbl 1106.41013 Chen, Long; Sun, Pengtao; Xu, Jingchao 46 2007 A divergence free weak virtual element method for the Stokes-Darcy problem on general meshes. Zbl 1440.76088 Wang, Gang; Wang, Feng; Chen, Long; He, Yinnian 41 2019 Anisotropic error estimates of the linear virtual element method on polygonal meshes. Zbl 1401.65129 Cao, Shuhao; Chen, Long 40 2018 Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations. Zbl 1263.78012 Zhong, Liuqiang; Chen, Long; Shu, Shi; Wittum, Gabriel; Xu, Jinchao 39 2012 A divergence free weak virtual element method for the Stokes problem on polytopal meshes. Zbl 1433.76074 Chen, Long; Wang, Feng 38 2019 Optimal Delaunay triangulations. Zbl 1048.65020 Chen, Long; Xu, Jinchao 35 2004 Optimal multilevel methods for \(H\)(grad), \(H\)(curl), and \(H\)(div) systems on graded and unstructured grids. Zbl 1193.65209 Xu, Jinchao; Chen, Long; Nochetto, Ricardo H. 35 2009 Optimal multilevel methods for graded bisection grids. Zbl 1235.65144 Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao 30 2012 Multilevel methods for nonuniformly elliptic operators and fractional diffusion. Zbl 1344.65117 Chen, Long; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. 30 2016 An auxiliary space multigrid preconditioner for the weak Galerkin method. Zbl 1443.65319 Chen, Long; Wang, Junping; Wang, Yanqiu; Ye, Xiu 28 2015 Multigrid methods for the Stokes equations using distributive Gauss-Seidel relaxations based on the least squares commutator. Zbl 1426.76316 Wang, Ming; Chen, Long 27 2013 A coarsening algorithm on adaptive grids by newest vertex bisection and its applications. Zbl 1240.65350 Chen, Long; Zhang, Chensong 26 2010 Adaptive mesh refinement and superconvergence for two-dimensional interface problems. Zbl 1304.65259 Wei, Huayi; Chen, Long; Huang, Yunqing; Zheng, Bin 25 2014 Superconvergence of tetrahedral linear finite element. Zbl 1100.65084 Chen, Long 25 2006 Anisotropic error estimates of the linear nonconforming virtual element methods. Zbl 1422.65376 Cao, Shuhao; Chen, Long 24 2019 Convergence analysis of triangular MAC schemes for two dimensional Stokes equations. Zbl 1320.76065 Chen, Long; Wang, Ming; Zhong, Lin 22 2015 Numerical studies of adaptive finite element methods for two dimensional convection-dominated problems. Zbl 1203.65261 Sun, Pengtao; Chen, Long; Xu, Jinchao 20 2010 A virtual finite element method for two-dimensional Maxwell interface problems with a background unfitted mesh. Zbl 1478.65117 Cao, Shuhao; Chen, Long; Guo, Ruchi 20 2021 An efficient two-grid scheme for the Cahn-Hilliard equation. Zbl 1373.76111 Zhou, Jie; Chen, Long; Huang, Yunqing; Wang, Wansheng 20 2015 A PDE approach to fractional diffusion: a posteriori error analysis. Zbl 1349.65614 Chen, Long; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. 20 2015 Immersed virtual element methods for elliptic interface problems in two dimensions. Zbl 1497.65223 Cao, Shuhao; Chen, Long; Guo, Ruchi; Lin, Frank 19 2022 Finite elements for div- and divdiv-conforming symmetric tensors in arbitrary dimension. Zbl 1496.65213 Chen, Long; Huang, Xuehai 18 2022 Finite elements for \(\operatorname{div}\operatorname{div}\) conforming symmetric tensors in three dimensions. Zbl 1493.65193 Chen, Long; Huang, Xuehai 18 2022 Efficient mesh optimization schemes based on optimal Delaunay triangulations. Zbl 1225.65113 Chen, Long; Holst, Michael 17 2011 Stability and accuracy of adapted finite element methods for singularly perturbed problems. Zbl 1146.65059 Chen, Long; Xu, Jinchao 16 2008 Fast auxiliary space preconditioners for linear elasticity in mixed form. Zbl 1447.65174 Chen, Long; Hu, Jun; Huang, Xuehai 16 2018 Stabilized mixed finite element methods for linear elasticity on simplicial grids in \(\mathbb{R}^{n}\). Zbl 1422.65378 Chen, Long; Hu, Jun; Huang, Xuehai 16 2017 Decoupling of mixed methods based on generalized Helmholtz decompositions. Zbl 1402.58016 Chen, Long; Huang, Xuehai 15 2018 A multigrid solver based on distributive smoother and residual overweighting for Oseen problems. Zbl 1363.65155 Chen, Long; Hu, Xiaozhe; Wang, Ming; Xu, Jinchao 13 2015 Multigrid methods for Hellan-Herrmann-Johnson mixed method of Kirchhoff plate bending problems. Zbl 1404.65300 Chen, Long; Hu, Jun; Huang, Xuehai 13 2018 Multigrid preconditioners for mixed finite element methods of the vector Laplacian. Zbl 1407.65318 Chen, Long; Wu, Yongke; Zhong, Lin; Zhou, Jie 13 2018 From differential equation solvers to accelerated first-order methods for convex optimization. Zbl 1515.65157 Luo, Hao; Chen, Long 13 2022 Multigrid methods for a mixed finite element method of the Darcy-Forchheimer model. Zbl 1404.65267 Huang, Jian; Chen, Long; Rui, Hongxing 12 2018 Postprocessing mixed finite element methods for solving Cahn-Hilliard equation: methods and error analysis. Zbl 1341.65040 Wang, Wansheng; Chen, Long; Zhou, Jie 11 2016 Immersed virtual element methods for electromagnetic interface problems in three dimensions. Zbl 1514.65164 Cao, Shuhao; Chen, Long; Guo, Ruchi 11 2023 A finite element elasticity complex in three dimensions. Zbl 1498.65196 Chen, Long; Huang, Xuehai 11 2022 Short implementation of bisection in MATLAB. Zbl 1157.65502 Chen, Long 10 2008 New analysis of the sphere covering problems and optimal polytope approximation of convex bodies. Zbl 1072.65021 Chen, Long 9 2005 Superconvergence and gradient recovery of linear finite elements for the Laplace-Beltrami operator on general surfaces. Zbl 1218.65122 Wei, Huayi; Chen, Long; Huang, Yunqing 9 2010 Convergence of adaptive edge finite element methods for \({\mathbf H}({\mathbf curl})\)-elliptic problems. Zbl 1240.65338 Zhong, Liuqiang; Shu, Shi; Chen, Long; Xu, Jinchao 9 2010 A computational study of residual KPP front speeds in time-periodic cellular flows in the small diffusion limit. Zbl 1364.76105 Zu, Penghe; Chen, Long; Xin, Jack 9 2015 Discrete Hessian complexes in three dimensions. Zbl 1503.65291 Chen, Long; Huang, Xuehai 9 2022 Deriving the X-Z identity from auxiliary space method. Zbl 1217.65064 Chen, Long 8 2011 Error analysis of a decoupled finite element method for quad-curl problems. Zbl 1479.65026 Cao, Shuhao; Chen, Long; Huang, Xuehai 8 2022 Multigrid methods for saddle point systems using constrained smoothers. Zbl 1443.65298 Chen, Long 8 2015 Residual-based a posteriori error estimates for symmetric conforming mixed finite elements for linear elasticity problems. Zbl 1395.65141 Chen, Long; Hu, Jun; Huang, Xuehai; Man, Hongying 8 2018 Convergence of adaptive mixed finite element methods for the Hodge Laplacian equation: without harmonic forms. Zbl 1383.65139 Chen, Long; Wu, Yongke 8 2017 A robust and efficient method for steady state patterns in reaction-diffusion systems. Zbl 1250.35017 Lo, Wing-Cheong; Chen, Long; Wang, Ming; Nie, Qing 8 2012 Fast methods for computing centroidal Voronoi tessellations. Zbl 1328.62386 Hateley, James C.; Wei, Huayi; Chen, Long 7 2015 Convergence analysis of the fast subspace descent method for convex optimization problems. Zbl 1442.65426 Chen, Long; Hu, Xiaozhe; Wise, Steven M. 7 2020 An optimal streamline diffusion finite element method for a singularly perturbed problem. Zbl 1097.65082 Chen, Long; Xu, Jinchao 7 2005 A simple construction of a Fortin operator for the two dimensional Taylor-Hood element. Zbl 1367.65168 Chen, Long 7 2014 Multilevel homotopic adaptive finite element methods for convection dominated problems. Zbl 1067.65122 Chen, Long; Sun, Pengtao; Xu, Jinchao 6 2005 Convergence analysis of \(V\)-cycle multigrid methods for anisotropic elliptic equations. Zbl 1258.65093 Wu, Yongke; Chen, Long; Xie, Xiaoping; Xu, Jinchao 6 2012 Local multilevel preconditioners for elliptic equations with jump coefficients on bisection grids. Zbl 1522.65242 Chen, Long; Holst, Michael; Xu, Jinchao; Zhu, Yunrong 6 2012 Stability of a streamline diffusion finite element method for turning point problems. Zbl 1153.65081 Chen, Long; Wang, Yonggang; Wu, Jinbiao 5 2008 Superconvergence of gradient recovery schemes on graded meshes for corner singularities. Zbl 1224.65245 Chen, Long; Li, Hengguang 3 2010 Hybrid stress finite volume method for linear elasticity problems. Zbl 1421.74106 Wu, Yongke; Xie, Xiaoping; Chen, Long 3 2013 Finite element de Rham and Stokes complexes in three dimensions. Zbl 1530.65159 Chen, Long; Huang, Xuehai 3 2024 On minimizing the linear interpolation error of convex quadratic functions and the optimal simplex. Zbl 1217.41009 Chen, Long 2 2008 Fast multilevel solvers for a class of discrete fourth order parabolic problems. Zbl 1410.65386 Zheng, Bin; Chen, Luoping; Hu, Xiaozhe; Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao 2 2016 Local-ideal-points based autonomous space decomposition framework for the multi-objective periodic generalized directed rural postman problem under length restrictions with intermediate facilities. Zbl 1520.90195 Chen, Long; Xu, Peng; Yan, Xuedong; Souleyrette, Reginald R.; Wang, Teng (Alex) 2 2023 Multigrid methods for elliptic obstacle problems on 2D bisection grids. Zbl 1217.65119 Chen, Long; Nochetto, Ricardo H.; Zhang, Chen-Song 1 2011 Cell conservative flux recovery and a posteriori error estimate of vertex-centered finite volume methods. Zbl 1288.65158 Chen, Long; Wang, Ming 1 2013 Transformed primal-dual methods for nonlinear saddle point systems. Zbl 07775695 Chen, Long; Wei, Jingrong 1 2023 Convergence and optimality of an adaptive modified weak Galerkin finite element method. Zbl 1535.65288 Xie, Yingying; Cao, Shuhao; Chen, Long; Zhong, Liuqiang 1 2023 Geometric decomposition and efficient implementation of high order face and edge elements. Zbl 1542.65155 Chen, Chunyu; Chen, Long; Huang, Xuehai; Wei, Huayi 1 2024 Finite element de Rham and Stokes complexes in three dimensions. Zbl 1530.65159 Chen, Long; Huang, Xuehai 3 2024 Geometric decomposition and efficient implementation of high order face and edge elements. Zbl 1542.65155 Chen, Chunyu; Chen, Long; Huang, Xuehai; Wei, Huayi 1 2024 Immersed virtual element methods for electromagnetic interface problems in three dimensions. Zbl 1514.65164 Cao, Shuhao; Chen, Long; Guo, Ruchi 11 2023 Local-ideal-points based autonomous space decomposition framework for the multi-objective periodic generalized directed rural postman problem under length restrictions with intermediate facilities. Zbl 1520.90195 Chen, Long; Xu, Peng; Yan, Xuedong; Souleyrette, Reginald R.; Wang, Teng (Alex) 2 2023 Transformed primal-dual methods for nonlinear saddle point systems. Zbl 07775695 Chen, Long; Wei, Jingrong 1 2023 Convergence and optimality of an adaptive modified weak Galerkin finite element method. Zbl 1535.65288 Xie, Yingying; Cao, Shuhao; Chen, Long; Zhong, Liuqiang 1 2023 Immersed virtual element methods for elliptic interface problems in two dimensions. Zbl 1497.65223 Cao, Shuhao; Chen, Long; Guo, Ruchi; Lin, Frank 19 2022 Finite elements for div- and divdiv-conforming symmetric tensors in arbitrary dimension. Zbl 1496.65213 Chen, Long; Huang, Xuehai 18 2022 Finite elements for \(\operatorname{div}\operatorname{div}\) conforming symmetric tensors in three dimensions. Zbl 1493.65193 Chen, Long; Huang, Xuehai 18 2022 From differential equation solvers to accelerated first-order methods for convex optimization. Zbl 1515.65157 Luo, Hao; Chen, Long 13 2022 A finite element elasticity complex in three dimensions. Zbl 1498.65196 Chen, Long; Huang, Xuehai 11 2022 Discrete Hessian complexes in three dimensions. Zbl 1503.65291 Chen, Long; Huang, Xuehai 9 2022 Error analysis of a decoupled finite element method for quad-curl problems. Zbl 1479.65026 Cao, Shuhao; Chen, Long; Huang, Xuehai 8 2022 A virtual finite element method for two-dimensional Maxwell interface problems with a background unfitted mesh. Zbl 1478.65117 Cao, Shuhao; Chen, Long; Guo, Ruchi 20 2021 Nonconforming virtual element method for \(2m\) th order partial differential equations in \(\mathbb{R}^n\). Zbl 1436.65175 Chen, Long; Huang, Xuehai 49 2020 Convergence analysis of the fast subspace descent method for convex optimization problems. Zbl 1442.65426 Chen, Long; Hu, Xiaozhe; Wise, Steven M. 7 2020 A divergence free weak virtual element method for the Stokes-Darcy problem on general meshes. Zbl 1440.76088 Wang, Gang; Wang, Feng; Chen, Long; He, Yinnian 41 2019 A divergence free weak virtual element method for the Stokes problem on polytopal meshes. Zbl 1433.76074 Chen, Long; Wang, Feng 38 2019 Anisotropic error estimates of the linear nonconforming virtual element methods. Zbl 1422.65376 Cao, Shuhao; Chen, Long 24 2019 Some error analysis on virtual element methods. Zbl 1448.65223 Chen, Long; Huang, Jianguo 115 2018 Anisotropic error estimates of the linear virtual element method on polygonal meshes. Zbl 1401.65129 Cao, Shuhao; Chen, Long 40 2018 Fast auxiliary space preconditioners for linear elasticity in mixed form. Zbl 1447.65174 Chen, Long; Hu, Jun; Huang, Xuehai 16 2018 Decoupling of mixed methods based on generalized Helmholtz decompositions. Zbl 1402.58016 Chen, Long; Huang, Xuehai 15 2018 Multigrid methods for Hellan-Herrmann-Johnson mixed method of Kirchhoff plate bending problems. Zbl 1404.65300 Chen, Long; Hu, Jun; Huang, Xuehai 13 2018 Multigrid preconditioners for mixed finite element methods of the vector Laplacian. Zbl 1407.65318 Chen, Long; Wu, Yongke; Zhong, Lin; Zhou, Jie 13 2018 Multigrid methods for a mixed finite element method of the Darcy-Forchheimer model. Zbl 1404.65267 Huang, Jian; Chen, Long; Rui, Hongxing 12 2018 Residual-based a posteriori error estimates for symmetric conforming mixed finite elements for linear elasticity problems. Zbl 1395.65141 Chen, Long; Hu, Jun; Huang, Xuehai; Man, Hongying 8 2018 An interface-fitted mesh generator and virtual element methods for elliptic interface problems. Zbl 1380.65400 Chen, Long; Wei, Huayi; Wen, Min 80 2017 Stabilized mixed finite element methods for linear elasticity on simplicial grids in \(\mathbb{R}^{n}\). Zbl 1422.65378 Chen, Long; Hu, Jun; Huang, Xuehai 16 2017 Convergence of adaptive mixed finite element methods for the Hodge Laplacian equation: without harmonic forms. Zbl 1383.65139 Chen, Long; Wu, Yongke 8 2017 Multilevel methods for nonuniformly elliptic operators and fractional diffusion. Zbl 1344.65117 Chen, Long; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. 30 2016 Postprocessing mixed finite element methods for solving Cahn-Hilliard equation: methods and error analysis. Zbl 1341.65040 Wang, Wansheng; Chen, Long; Zhou, Jie 11 2016 Fast multilevel solvers for a class of discrete fourth order parabolic problems. Zbl 1410.65386 Zheng, Bin; Chen, Luoping; Hu, Xiaozhe; Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao 2 2016 An auxiliary space multigrid preconditioner for the weak Galerkin method. Zbl 1443.65319 Chen, Long; Wang, Junping; Wang, Yanqiu; Ye, Xiu 28 2015 Convergence analysis of triangular MAC schemes for two dimensional Stokes equations. Zbl 1320.76065 Chen, Long; Wang, Ming; Zhong, Lin 22 2015 An efficient two-grid scheme for the Cahn-Hilliard equation. Zbl 1373.76111 Zhou, Jie; Chen, Long; Huang, Yunqing; Wang, Wansheng 20 2015 A PDE approach to fractional diffusion: a posteriori error analysis. Zbl 1349.65614 Chen, Long; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. 20 2015 A multigrid solver based on distributive smoother and residual overweighting for Oseen problems. Zbl 1363.65155 Chen, Long; Hu, Xiaozhe; Wang, Ming; Xu, Jinchao 13 2015 A computational study of residual KPP front speeds in time-periodic cellular flows in the small diffusion limit. Zbl 1364.76105 Zu, Penghe; Chen, Long; Xin, Jack 9 2015 Multigrid methods for saddle point systems using constrained smoothers. Zbl 1443.65298 Chen, Long 8 2015 Fast methods for computing centroidal Voronoi tessellations. Zbl 1328.62386 Hateley, James C.; Wei, Huayi; Chen, Long 7 2015 A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems. Zbl 1307.65153 Chen, Long; Wang, Junping; Ye, Xiu 65 2014 Two-grid methods for Maxwell eigenvalue problems. Zbl 1304.78015 Zhou, J.; Hu, X.; Zhong, L.; Shu, S.; Chen, Long 50 2014 Adaptive mesh refinement and superconvergence for two-dimensional interface problems. Zbl 1304.65259 Wei, Huayi; Chen, Long; Huang, Yunqing; Zheng, Bin 25 2014 A simple construction of a Fortin operator for the two dimensional Taylor-Hood element. Zbl 1367.65168 Chen, Long 7 2014 Multigrid methods for the Stokes equations using distributive Gauss-Seidel relaxations based on the least squares commutator. Zbl 1426.76316 Wang, Ming; Chen, Long 27 2013 Hybrid stress finite volume method for linear elasticity problems. Zbl 1421.74106 Wu, Yongke; Xie, Xiaoping; Chen, Long 3 2013 Cell conservative flux recovery and a posteriori error estimate of vertex-centered finite volume methods. Zbl 1288.65158 Chen, Long; Wang, Ming 1 2013 Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations. Zbl 1263.78012 Zhong, Liuqiang; Chen, Long; Shu, Shi; Wittum, Gabriel; Xu, Jinchao 39 2012 Optimal multilevel methods for graded bisection grids. Zbl 1235.65144 Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao 30 2012 A robust and efficient method for steady state patterns in reaction-diffusion systems. Zbl 1250.35017 Lo, Wing-Cheong; Chen, Long; Wang, Ming; Nie, Qing 8 2012 Convergence analysis of \(V\)-cycle multigrid methods for anisotropic elliptic equations. Zbl 1258.65093 Wu, Yongke; Chen, Long; Xie, Xiaoping; Xu, Jinchao 6 2012 Local multilevel preconditioners for elliptic equations with jump coefficients on bisection grids. Zbl 1522.65242 Chen, Long; Holst, Michael; Xu, Jinchao; Zhu, Yunrong 6 2012 Efficient mesh optimization schemes based on optimal Delaunay triangulations. Zbl 1225.65113 Chen, Long; Holst, Michael 17 2011 Deriving the X-Z identity from auxiliary space method. Zbl 1217.65064 Chen, Long 8 2011 Multigrid methods for elliptic obstacle problems on 2D bisection grids. Zbl 1217.65119 Chen, Long; Nochetto, Ricardo H.; Zhang, Chen-Song 1 2011 A new class of high order finite volume methods for second order elliptic equations. Zbl 1261.65109 Chen, Long 72 2010 A coarsening algorithm on adaptive grids by newest vertex bisection and its applications. Zbl 1240.65350 Chen, Long; Zhang, Chensong 26 2010 Numerical studies of adaptive finite element methods for two dimensional convection-dominated problems. Zbl 1203.65261 Sun, Pengtao; Chen, Long; Xu, Jinchao 20 2010 Superconvergence and gradient recovery of linear finite elements for the Laplace-Beltrami operator on general surfaces. Zbl 1218.65122 Wei, Huayi; Chen, Long; Huang, Yunqing 9 2010 Convergence of adaptive edge finite element methods for \({\mathbf H}({\mathbf curl})\)-elliptic problems. Zbl 1240.65338 Zhong, Liuqiang; Shu, Shi; Chen, Long; Xu, Jinchao 9 2010 Superconvergence of gradient recovery schemes on graded meshes for corner singularities. Zbl 1224.65245 Chen, Long; Li, Hengguang 3 2010 Convergence and optimality of adaptive mixed finite element methods. Zbl 1198.65211 Chen, Long; Holst, Michael; Xu, Jinchao 50 2009 Optimal multilevel methods for \(H\)(grad), \(H\)(curl), and \(H\)(div) systems on graded and unstructured grids. Zbl 1193.65209 Xu, Jinchao; Chen, Long; Nochetto, Ricardo H. 35 2009 Stability and accuracy of adapted finite element methods for singularly perturbed problems. Zbl 1146.65059 Chen, Long; Xu, Jinchao 16 2008 Short implementation of bisection in MATLAB. Zbl 1157.65502 Chen, Long 10 2008 Stability of a streamline diffusion finite element method for turning point problems. Zbl 1153.65081 Chen, Long; Wang, Yonggang; Wu, Jinbiao 5 2008 On minimizing the linear interpolation error of convex quadratic functions and the optimal simplex. Zbl 1217.41009 Chen, Long 2 2008 The finite element approximation of the nonlinear Poisson-Boltzmann equation. Zbl 1152.65478 Chen, Long; Holst, Michael J.; Xu, Jinchao 61 2007 Optimal anisotropic meshes for minimizing interpolation errors in \(L^p\)-norms. Zbl 1106.41013 Chen, Long; Sun, Pengtao; Xu, Jingchao 46 2007 Superconvergence of tetrahedral linear finite element. Zbl 1100.65084 Chen, Long 25 2006 New analysis of the sphere covering problems and optimal polytope approximation of convex bodies. Zbl 1072.65021 Chen, Long 9 2005 An optimal streamline diffusion finite element method for a singularly perturbed problem. Zbl 1097.65082 Chen, Long; Xu, Jinchao 7 2005 Multilevel homotopic adaptive finite element methods for convection dominated problems. Zbl 1067.65122 Chen, Long; Sun, Pengtao; Xu, Jinchao 6 2005 Optimal Delaunay triangulations. Zbl 1048.65020 Chen, Long; Xu, Jinchao 35 2004 all cited Publications top 5 cited Publications all top 5 Cited by 1,452 Authors 46 Chen, Long 37 Huang, Yunqing 31 Chen, Yanping 27 Huang, Xuehai 25 Xu, Jinchao 21 Zhao, Jikun 20 Zhang, Zhimin 19 Huang, Jianguo 18 Shu, Shi 18 Zhong, Liuqiang 17 Beirão da Veiga, Lourenço 17 Hu, Jun 16 Mu, Lin 16 Zou, Qingsong 15 Li, Jichun 15 Wei, Huayi 15 Zhang, Shangyou 14 Feng, Minfu 14 Wang, Feng 14 Xie, Xiaoping 14 Zhang, Bei 14 Zhao, Shan 13 Liu, Jinghong 13 Manzini, Gianmarco 13 Nochetto, Ricardo Horacio 13 Wang, Gang 12 Carstensen, Carsten 12 Hu, Xiaozhe 12 Praetorius, Dirk 11 Cao, Shuhao 11 Dassi, Franco 11 Mascotto, Lorenzo 11 Wang, Junping 11 Zhu, Qiding 10 He, Yinnian 10 Rui, Hongxing 10 Vacca, Giuseppe 10 Xu, Fei 10 Ye, Xiu 10 Zhang, Ran 10 Zhang, Tie 9 Chen, Shaochun 9 Holst, Michael J. 9 Huang, Qiumei 9 Li, Yonghai 9 Mora, David 9 Wang, Xiang 9 Zhai, Qilong 8 Bi, Hai 8 Deka, Bhupen 8 Li, Yuwen 8 Wang, Fei 8 Wang, Yang 8 Xin, Jack X. 8 Xu, Xuejun 8 Yang, Wei 8 Yue, Xiaoqiang 7 Chen, Jinru 7 Feng, Fang 7 Feng, Xinlong 7 Führer, Thomas 7 Guo, Hailong 7 Guo, Ruchi 7 He, Yunhui 7 Kwak, Do Young 7 Mao, Shipeng 7 Sun, Pengtao 7 Verani, Marco 7 Wang, Chunmei 7 Wang, Ying 7 Yang, Yidu 7 Zhou, Jie 6 Adak, Dibyendu 6 Antonietti, Paola Francesca 6 Boffi, Daniele 6 Brenner, Susanne Cecelia 6 Chen, Luoping 6 Chen, Zhongying 6 Feischl, Michael 6 Han, Jiayu 6 Han, Weimin 6 Harizanov, Stanislav 6 He, Wenming 6 Ji, Haifeng 6 Li, Dan 6 Li, Meng 6 Lu, Benzhuo 6 Ma, Rui 6 Margenov, Svetozar D. 6 Nie, Yufeng 6 Otárola, Enrique 6 Ruiz-Baier, Ricardo 6 Shi, Dongyang 6 Wu, Jiming 6 Wu, Yongke 6 Xie, Yingying 5 Alexov, Emil 5 Bertoluzza, Silvia 5 Brezzi, Franco 5 Bringmann, Philipp ...and 1,352 more Authors all top 5 Cited in 133 Serials 110 Computers & Mathematics with Applications 95 Journal of Scientific Computing 72 Journal of Computational and Applied Mathematics 69 Journal of Computational Physics 50 Computer Methods in Applied Mechanics and Engineering 49 SIAM Journal on Numerical Analysis 46 Mathematics of Computation 41 SIAM Journal on Scientific Computing 39 Numerical Methods for Partial Differential Equations 38 Applied Numerical Mathematics 35 Numerische Mathematik 26 Advances in Computational Mathematics 23 Applied Mathematics and Computation 19 Communications in Computational Physics 18 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 18 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 16 Calcolo 16 Computational Methods in Applied Mathematics 14 International Journal of Numerical Analysis and Modeling 13 International Journal for Numerical Methods in Engineering 13 Advances in Applied Mathematics and Mechanics 12 Applied Mathematics Letters 12 Science China. Mathematics 11 BIT 10 Numerical Algorithms 10 Communications in Nonlinear Science and Numerical Simulation 7 Mathematical Methods in the Applied Sciences 7 International Journal of Computer Mathematics 6 Mathematics and Computers in Simulation 6 Computer Aided Geometric Design 6 Numerical Linear Algebra with Applications 6 Foundations of Computational Mathematics 6 Journal of Numerical Mathematics 6 Journal of Applied Mathematics and Computing 6 Numerical Mathematics: Theory, Methods and Applications 6 East Asian Journal on Applied Mathematics 6 Results in Applied Mathematics 5 Journal of Mathematical Analysis and Applications 5 SIAM Journal on Matrix Analysis and Applications 5 Discrete and Continuous Dynamical Systems. Series B 5 Acta Numerica 5 Electronic Research Archive 4 Computers and Fluids 4 Computer Physics Communications 4 Journal of Computational Mathematics 4 Mathematical Problems in Engineering 3 ACM Transactions on Mathematical Software 3 Discrete & Computational Geometry 3 Applications of Mathematics 3 Computational and Applied Mathematics 3 Engineering Analysis with Boundary Elements 3 Computing and Visualization in Science 3 Nonlinear Analysis. Real World Applications 3 Journal of Systems Science and Complexity 3 International Journal of Computational Methods 2 Journal of Mathematical Biology 2 Automatica 2 Journal of Approximation Theory 2 Bulletin of the Iranian Mathematical Society 2 Optimization 2 Constructive Approximation 2 Computers & Operations Research 2 Computational Mechanics 2 Computational Geometry 2 Computational Mathematics and Mathematical Physics 2 Applied Mathematical Modelling 2 Applied Mathematics. Series B (English Edition) 2 Journal of Mathematical Sciences (New York) 2 European Journal of Mechanics. A. Solids 2 Computational Geosciences 2 Multiscale Modeling & Simulation 2 Oberwolfach Reports 2 Boundary Value Problems 2 Molecular Based Mathematical Biology 2 Open Mathematics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Applicable Analysis 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Mathematical Biosciences 1 Moscow University Mathematics Bulletin 1 Rocky Mountain Journal of Mathematics 1 Bulletin of Mathematical Biology 1 Archiv der Mathematik 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of Optimization Theory and Applications 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Computing 1 SIAM Journal on Control and Optimization 1 Mathematica Numerica Sinica 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Asymptotic Analysis 1 Science in China. Series A 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Computational Statistics and Data Analysis 1 SIAM Journal on Optimization 1 Journal of Mathematical Imaging and Vision 1 Computational Optimization and Applications ...and 33 more Serials all top 5 Cited in 36 Fields 1,065 Numerical analysis (65-XX) 539 Partial differential equations (35-XX) 237 Fluid mechanics (76-XX) 136 Mechanics of deformable solids (74-XX) 67 Optics, electromagnetic theory (78-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 29 Real functions (26-XX) 29 Approximations and expansions (41-XX) 28 Biology and other natural sciences (92-XX) 27 Computer science (68-XX) 23 Global analysis, analysis on manifolds (58-XX) 21 Operations research, mathematical programming (90-XX) 16 Potential theory (31-XX) 15 Statistical mechanics, structure of matter (82-XX) 11 Ordinary differential equations (34-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Systems theory; control (93-XX) 8 Integral equations (45-XX) 8 Operator theory (47-XX) 8 Probability theory and stochastic processes (60-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Convex and discrete geometry (52-XX) 6 Statistics (62-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Relativity and gravitational theory (83-XX) 5 Geophysics (86-XX) 4 Functional analysis (46-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Differential geometry (53-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Integral transforms, operational calculus (44-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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