Edit Profile (opens in new tab) Xie, Hehu Co-Author Distance Author ID: xie.hehu Published as: Xie, Hehu; Xie, HeHu; Xie, He Hu; Xie, H. more...less Documents Indexed: 129 Publications since 2000, including 28 Additional arXiv Preprints Co-Authors: 71 Co-Authors with 117 Joint Publications 2,223 Co-Co-Authors all top 5 Co-Authors 8 single-authored 19 Lin, Qun 15 Yin, Xiaobo 14 Jia, Shanghui 14 Xu, Fei 10 Xie, ManTing 9 Li, Yu 8 You, Chunguang 8 Zhang, Ning 7 Gao, Shaoqin 7 Han, Xiaole 7 Zhang, Ran 6 Chen, Hongtao 6 He, Yunhui 6 Luo, Fusheng 5 Brunner, Hermann 5 Yue, Meiling 4 Hong, Qichen 4 Huang, Qiumei 4 Zhai, Qilong 4 Zhang, Zhimin 4 Zhou, Chenguang 3 Hu, Guanghui 3 Lin, Zhongshuo 3 Tang, Tao 3 Zhao, Gang 2 Dang, Haikun 2 Di, Yana 2 Du, Qiang 2 Gong, Wei 2 Guan, Zhijin 2 Ji, Xia 2 Liao, Yangfei 2 Liu, Haochen 2 Liu, Xuefeng 2 Tobiska, Lutz 2 Yan, Ningning 1 Ahmed, Naveed 1 An, Hengbin 1 Eichel, Hagen 1 Feng, Xinlong 1 Feng, Yue 1 Fu, Rui 1 Jiang, Jiantao 1 Jin, Pengzhan 1 Li, Qin 1 Li, Shusheng 1 Li, Yongxin 1 Luo, Fuesheng 1 Matthies, Gunar 1 Mo, Zeyao 1 Owhadi, Houman 1 Qiao, Zhonghua 1 Shaĭdurov, Vladimir Victorovich 1 Shajdurov, V. V. 1 Sun, Jiguang 1 Tang, Bingtao 1 Tian, Jian 1 Wang, Biyi 1 Wang, Yanli 1 Wang, Zijing 1 Weng, Zhifeng 1 Wu, Xinming 1 Xi, Yingxia 1 Xu, Jinchao 1 Xu, Ran 1 Yang, Kai 1 Yang, Yidu 1 Yao, Changhui 1 Zhang, Jiwei 1 Zhang, Lei 1 Zhao, Xiaohua 1 Zhou, Tao 1 Zhu, Benxi all top 5 Serials 11 Journal of Scientific Computing 7 Journal of Computational Physics 7 Mathematics in Practice and Theory 7 Applications of Mathematics 6 SIAM Journal on Scientific Computing 6 International Journal of Numerical Analysis and Modeling 5 SIAM Journal on Numerical Analysis 3 Mathematics of Computation 3 Applied Numerical Mathematics 3 Journal on Numerical Methods and Computer Applications 3 Communications in Computational Physics 3 Science China. Mathematics 3 East Asian Journal on Applied Mathematics 2 IMA Journal of Numerical Analysis 2 BIT 2 Journal of Computational and Applied Mathematics 2 Advances in Computational Mathematics 2 International Journal of Information & Systems Sciences 2 Advances in Applied Mathematics and Mechanics 2 Scientia Sinica. Mathematica 1 Acta Mechanica 1 Computer Methods in Applied Mechanics and Engineering 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Journal of Computational Mathematics 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Japan Journal of Industrial and Applied Mathematics 1 Computational and Applied Mathematics 1 Vychislitel’nye Tekhnologii 1 Acta Mathematica Sinica. English Series 1 CMES. Computer Modeling in Engineering & Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Frontiers of Mathematics in China 1 Inverse Problems and Imaging 1 Numerical Mathematics: Theory, Methods and Applications 1 European Journal of Mathematics all top 5 Fields 120 Numerical analysis (65-XX) 51 Partial differential equations (35-XX) 8 Mechanics of deformable solids (74-XX) 8 Fluid mechanics (76-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Ordinary differential equations (34-XX) 5 Integral equations (45-XX) 5 Computer science (68-XX) 4 Functional analysis (46-XX) 3 Optics, electromagnetic theory (78-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 83 Publications have been cited 1,148 times in 575 Documents Cited by ▼ Year ▼ A multi-level correction scheme for eigenvalue problems. Zbl 1307.65159 Lin, Qun; Xie, Hehu 76 2015 A multigrid method for eigenvalue problem. Zbl 1352.65631 Xie, Hehu 54 2014 A multigrid method for Helmholtz transmission eigenvalue problems. Zbl 1305.65225 Ji, Xia; Sun, Jiguang; Xie, Hehu 51 2014 A type of multilevel method for the Steklov eigenvalue problem. Zbl 1312.65178 Xie, Hehu 47 2014 Discontinuous Galerkin methods for delay differential equations of pantograph type. Zbl 1219.65076 Brunner, Hermann; Huang, Qiumei; Xie, Hehu 40 2010 Lower bounds of the discretization error for piecewise polynomials. Zbl 1280.65118 Lin, Qun; Xie, Hehu; Xu, Jinchao 35 2014 A full multigrid method for nonlinear eigenvalue problems. Zbl 1354.65236 Jia, ShangHui; Xie, HeHu; Xie, ManTing; Xu, Fei 35 2016 Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations. Zbl 1274.65296 Li, Qin; Lin, Qun; Xie, Hehu 34 2013 Computing the lower and upper bounds of Laplace eigenvalue problem by combining conforming and nonconforming finite element methods. Zbl 1261.65112 Luo, FuSheng; Lin, Qun; Xie, HeHu 34 2012 A full multigrid method for eigenvalue problems. Zbl 1352.65459 Chen, Hongtao; Xie, Hehu; Xu, Fei 34 2016 Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems. Zbl 1228.76078 Ahmed, N.; Matthies, G.; Tobiska, L.; Xie, H. 26 2011 Stokes eigenvalue approximations from below with nonconforming mixed finite element methods. Zbl 1493.65214 Lin, Qun; Xie, He Hu; Luo, Fu Sheng; Li, Yu; Yang, Yi Du 21 2010 A multilevel correction adaptive finite element method for Kohn-Sham equation. Zbl 1380.65371 Hu, Guanghui; Xie, Hehu; Xu, Fei 21 2018 Collocation methods for general Volterra functional integral equations with vanishing delays. Zbl 1239.65085 Xie, Hehu; Zhang, Ran; Brunner, Hermann 21 2011 Spectral methods for weakly singular Volterra integral equations with pantograph delays. Zbl 1273.65201 Zhang, Ran; Zhu, Benxi; Xie, Hehu 21 2013 Superconvergence of discontinuous Galerkin solutions for delay differential equations of pantograph type. Zbl 1232.65102 Huang, Qiumei; Xie, Hehu; Brunner, Hermann 20 2011 Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods. Zbl 1212.65434 Jia, Shanghui; Xie, Hehu; Yin, Xiaobo; Gao, Shaoqin 20 2009 Error analysis of a mixed finite element method for the molecular beam epitaxy model. Zbl 1327.35152 Qiao, Zhonghua; Tang, Tao; Xie, Hehu 19 2015 Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems. Zbl 1212.65431 Chen, Hongtao; Jia, Shanghui; Xie, Hehu 19 2009 Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes problem. Zbl 1410.76168 Eichel, Hagen; Tobiska, Lutz; Xie, Hehu 18 2011 The weak Galerkin method for elliptic eigenvalue problems. Zbl 1473.65284 Zhai, Qilong; Xie, Hehu; Zhang, Ran; Zhang, Zhimin 17 2019 The \(hp\) discontinuous Galerkin method for delay differential equations with nonlinear vanishing delay. Zbl 1276.65039 Huang, Qiumei; Xie, Hehu; Brunner, Hermann 17 2013 A multilevel correction method for interior transmission eigenvalue problem. Zbl 1385.65057 Xie, Hehu; Wu, Xinming 17 2017 Guaranteed eigenvalue bounds for the Steklov eigenvalue problem. Zbl 1427.65384 You, Chun’Guang; Xie, Hehu; Liu, Xuefeng 16 2019 A multilevel correction type of adaptive finite element method for eigenvalue problems. Zbl 1404.65022 Hong, Qichen; Xie, Hehu; Xu, Fei 16 2018 Postprocessing and higher order convergence for the mixed finite element approximations of the eigenvalue problem. Zbl 1209.65126 Chen, Hongtao; Jia, Shanghui; Xie, Hehu 16 2011 Parameter-free time adaptivity based on energy evolution for the Cahn-Hilliard equation. Zbl 1388.65060 Luo, Fuesheng; Tang, Tao; Xie, Hehu 16 2016 Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method. Zbl 1201.65202 Lin, Qun; Xie, Hehu 16 2009 Acceleration of weak Galerkin methods for the Laplacian eigenvalue problem. Zbl 1419.65128 Zhai, Qilong; Xie, Hehu; Zhang, Ran; Zhang, Zhimin 15 2019 A posteriori error estimator for eigenvalue problems by mixed finite element method. Zbl 1264.65192 Jia, ShangHui; Chen, HongTao; Xie, HeHu 15 2013 High-order convergence of spectral deferred correction methods on general quadrature nodes. Zbl 1277.65062 Tang, Tao; Xie, Hehu; Yin, Xiaobo 15 2013 A multilevel correction method for Steklov eigenvalue problem by nonconforming finite element methods. Zbl 1349.65603 Han, Xiaole; Li, Yu; Xie, Hehu 15 2015 Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods. Zbl 1151.65086 Jia, Shanghui; Xie, Hehu; Yin, Xiaobo; Gao, Shaoqin 15 2008 Asymptotic expansions and extrapolations of eigenvalues for the Stokes problem by mixed finite element methods. Zbl 1149.65090 Yin, Xiaobo; Xie, Hehu; Jia, Shanghui; Gao, Shaoqin 15 2008 A multigrid method for ground state solution of Bose-Einstein condensates. Zbl 1373.82042 Xie, Hehu; Xie, Manting 15 2016 Fast eigenpairs computation with operator adapted wavelets and hierarchical subspace correction. Zbl 1447.65165 Xie, Hehu; Zhang, Lei; Owhadi, Houman 13 2019 Nonconforming finite element method for the transmission eigenvalue problem. Zbl 1490.65253 Ji, Xia; Xi, Yingxia; Xie, Hehu 13 2017 Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements. Zbl 1450.65143 Xie, Manting; Xie, Hehu; Liu, Xuefeng 13 2018 A multilevel correction type of adaptive finite element method for Steklov eigenvalue problems. Zbl 1313.65298 Lin, Qun; Xie, Hehu 13 2012 Analysis of collocation solutions for a class of functional equations with vanishing delays. Zbl 1259.65205 Brunner, Hermann; Xie, Hehu; Zhang, Ran 13 2011 An observation on Aubin-Nitsche lemma and its applications. Zbl 1265.65235 Lin, Qun; Xie, Hehu 12 2011 Multilevel correction adaptive finite element method for semilinear elliptic equation. Zbl 1363.65200 Lin, Qun; Xie, Hehu; Xu, Fei 11 2015 The asymptotic lower bounds of eigenvalue problems by nonconforming finite element methods. Zbl 1289.65251 Lin, Qun; Xie, Hehu 11 2012 Local and parallel finite element algorithm based on multilevel discretization for eigenvalue problems. Zbl 1347.65171 Han, Xiaole; Li, Yu; Xie, Hehu; You, Chunguang 11 2016 A parallel augmented subspace method for eigenvalue problems. Zbl 1451.65206 Xu, Fei; Xie, Hehu; Zhang, Ning 9 2020 Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem. Zbl 1330.76080 Xie, Hehu; Yin, Xiaobo 9 2015 An efficient multigrid method for ground state solution of Bose-Einstein condensates. Zbl 1434.65287 Zhang, Ning; Xu, Fei; Xie, Hehu 8 2019 Superconvergence of Galerkin solutions for Hammerstein equations. Zbl 1499.65746 Huang, Qiumei; Xie, Hehu 8 2009 Recent results on lower bounds of eigenvalue problems by nonconforming finite element methods. Zbl 1273.65178 Lin, Qun; Xie, Hehu 8 2013 A multilevel correction method for optimal controls of elliptic equations. Zbl 1322.49049 Gong, Wei; Xie, Hehu; Yan, Ningning 7 2015 A type of multi-level correction scheme for eigenvalue problems by nonconforming finite element methods. Zbl 1333.65135 Xie, Hehu 7 2015 A multigrid method for eigenvalue problems based on shifted-inverse power technique. Zbl 1323.65114 Chen, Hongtao; He, Yunhui; Li, Yu; Xie, Hehu 7 2015 Fully computable error bounds for eigenvalue problem. Zbl 1412.65200 Hong, Qichen; Xie, Hehu; Yue, Meiling; Zhang, Ning 6 2018 Computable error estimates for a nonsymmetric eigenvalue problem. Zbl 1383.65137 Xie, Hehu; Xie, Manting; Yin, Xiaobo; Yue, Meiling 6 2017 A multilevel finite element method for Fredholm integral eigenvalue problems. Zbl 1349.65724 Xie, Hehu; Zhou, Tao 6 2015 Computable error estimates for ground state solution of Bose-Einstein condensates. Zbl 1427.65383 Xie, Hehu; Xie, Manting 6 2019 A posterior error estimator and lower bound of a nonconforming finite element method. Zbl 1293.65158 Lin, Qun; Luo, Fusheng; Xie, Hehu 5 2014 Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem. Zbl 1340.65257 Feng, Xinlong; Weng, Zhifeng; Xie, Hehu 5 2014 A superconvergence result for mixed finite element approximations of the eigenvalue problem. Zbl 1277.65091 Lin, Qun; Xie, Hehu 5 2012 A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem. Zbl 1291.65344 Jia, Shang Hui; Luo, Fu Sheng; Xie, He Hu 5 2014 A cascadic multigrid method for eigenvalue problem. Zbl 1399.65351 Han, Xiaole; Xie, Hehu; Xu, Fei 5 2017 A multigrid method for nonlinear eigenvalue problems. Zbl 1488.65596 Xie, Hehu 5 2015 Adaptive time-stepping algorithms for molecular beam epitaxy: based on energy or roughness. Zbl 1457.65057 Luo, Fusheng; Xie, Hehu; Xie, Manting; Xu, Fei 4 2020 Extrapolation of the Nédélec element for the Maxwell equations by the mixed finite element method. Zbl 1166.78008 Xie, Hehu 4 2008 Superconvergence analysis of gradient recovery method for TM model of electromagnetic scattering in the cavity. Zbl 1488.65630 Jia, Shanghui; Yao, Changhui; Xie, Hehu 3 2017 Superconvergence measurement for general meshes by the linear finite element method. Zbl 1249.65221 Lin, Qun; Xie, Hehu 3 2011 New expansions of numerical eigenvalue for \(-\Delta u=\lambda\rho u\) by linear elements on different triangular meshes. Zbl 1498.65193 Lin, Qun; Xie, Hehu 3 2010 A cascadic multigrid method for nonsymmetric eigenvalue problem. Zbl 1458.65143 Yue, Meiling; Xie, Hehu; Xie, Manting 2 2019 A multilevel correction method for Stokes eigenvalue problems and its applications. Zbl 1382.65373 Lin, Qun; Luo, Fusheng; Xie, Hehu 2 2015 A multilevel Newton’s method for eigenvalue problems. Zbl 1488.65594 He, Yunhui; Li, Yu; Xie, Hehu; You, Chun’guang; Zhang, Ning 2 2018 Metric tensors for the interpolation error and its gradient in \(L^p\) norm. Zbl 1349.65674 Xie, Hehu; Yin, Xiaobo 2 2014 Adaptive multilevel correction method for finite element approximations of elliptic optimal control problems. Zbl 1378.49027 Gong, Wei; Xie, Hehu; Yan, Ningning 2 2017 On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation. Zbl 07620359 Hu, Guanghui; Xie, Hehu; Xu, Fei 2 2023 Anisotropic meshes and stabilization parameter design of linear SUPG method for 2D convection-dominated convection-diffusion equations. Zbl 1397.65259 Di, Yana; Xie, Hehu; Yin, Xiaobo 1 2018 A type of finite element gradient recovery method based on vertex-edge-face interpolation: the recovery technique and superconvergence property. Zbl 1302.65253 Lin, Qun; Xie, Hehu 1 2011 Extrapolation of the finite element method on general meshes. Zbl 1290.65115 Lin, Qun; Xie, Hehu 1 2013 A generalized conjugate gradient method for eigenvalue problems. Zbl 1499.65131 Zhang, Ning; Li, Yu; Xie, Hehu; Xu, Ran; You, Chunguang 1 2021 A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration. Zbl 1465.65163 Xu, Fei; Xie, Hehu; Xie, Manting; Yue, Meiling 1 2021 An augmented subspace method and its applications. Zbl 1474.65431 Xie, Hehu 1 2020 An algebraic multigrid method for eigenvalue problems and its numerical tests. Zbl 1468.65181 Zhang, Ning; Han, Xiaole; He, Yunhui; Xie, Hehu; You, Chun’guang 1 2021 An efficient adaptive mesh redistribution method for nonlinear eigenvalue problems in Bose-Einstein condensates. Zbl 1512.65255 Xie, Hehu; Xie, Manting; Yin, Xiaobo; Zhao, Gang 1 2023 Extrapolation for the second order elliptic problems by mixed finite element methods in three dimensions. Zbl 1147.65097 Xie, Hehu; Jia, Shanghui 1 2008 On the convergence to local limit of nonlocal models with approximated interaction neighborhoods. Zbl 1497.45015 Du, Qiang; Xie, Hehu; Yin, Xiaobo 1 2022 On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation. Zbl 07620359 Hu, Guanghui; Xie, Hehu; Xu, Fei 2 2023 An efficient adaptive mesh redistribution method for nonlinear eigenvalue problems in Bose-Einstein condensates. Zbl 1512.65255 Xie, Hehu; Xie, Manting; Yin, Xiaobo; Zhao, Gang 1 2023 On the convergence to local limit of nonlocal models with approximated interaction neighborhoods. Zbl 1497.45015 Du, Qiang; Xie, Hehu; Yin, Xiaobo 1 2022 A generalized conjugate gradient method for eigenvalue problems. Zbl 1499.65131 Zhang, Ning; Li, Yu; Xie, Hehu; Xu, Ran; You, Chunguang 1 2021 A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration. Zbl 1465.65163 Xu, Fei; Xie, Hehu; Xie, Manting; Yue, Meiling 1 2021 An algebraic multigrid method for eigenvalue problems and its numerical tests. Zbl 1468.65181 Zhang, Ning; Han, Xiaole; He, Yunhui; Xie, Hehu; You, Chun’guang 1 2021 A parallel augmented subspace method for eigenvalue problems. Zbl 1451.65206 Xu, Fei; Xie, Hehu; Zhang, Ning 9 2020 Adaptive time-stepping algorithms for molecular beam epitaxy: based on energy or roughness. Zbl 1457.65057 Luo, Fusheng; Xie, Hehu; Xie, Manting; Xu, Fei 4 2020 An augmented subspace method and its applications. Zbl 1474.65431 Xie, Hehu 1 2020 The weak Galerkin method for elliptic eigenvalue problems. Zbl 1473.65284 Zhai, Qilong; Xie, Hehu; Zhang, Ran; Zhang, Zhimin 17 2019 Guaranteed eigenvalue bounds for the Steklov eigenvalue problem. Zbl 1427.65384 You, Chun’Guang; Xie, Hehu; Liu, Xuefeng 16 2019 Acceleration of weak Galerkin methods for the Laplacian eigenvalue problem. Zbl 1419.65128 Zhai, Qilong; Xie, Hehu; Zhang, Ran; Zhang, Zhimin 15 2019 Fast eigenpairs computation with operator adapted wavelets and hierarchical subspace correction. Zbl 1447.65165 Xie, Hehu; Zhang, Lei; Owhadi, Houman 13 2019 An efficient multigrid method for ground state solution of Bose-Einstein condensates. Zbl 1434.65287 Zhang, Ning; Xu, Fei; Xie, Hehu 8 2019 Computable error estimates for ground state solution of Bose-Einstein condensates. Zbl 1427.65383 Xie, Hehu; Xie, Manting 6 2019 A cascadic multigrid method for nonsymmetric eigenvalue problem. Zbl 1458.65143 Yue, Meiling; Xie, Hehu; Xie, Manting 2 2019 A multilevel correction adaptive finite element method for Kohn-Sham equation. Zbl 1380.65371 Hu, Guanghui; Xie, Hehu; Xu, Fei 21 2018 A multilevel correction type of adaptive finite element method for eigenvalue problems. Zbl 1404.65022 Hong, Qichen; Xie, Hehu; Xu, Fei 16 2018 Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements. Zbl 1450.65143 Xie, Manting; Xie, Hehu; Liu, Xuefeng 13 2018 Fully computable error bounds for eigenvalue problem. Zbl 1412.65200 Hong, Qichen; Xie, Hehu; Yue, Meiling; Zhang, Ning 6 2018 A multilevel Newton’s method for eigenvalue problems. Zbl 1488.65594 He, Yunhui; Li, Yu; Xie, Hehu; You, Chun’guang; Zhang, Ning 2 2018 Anisotropic meshes and stabilization parameter design of linear SUPG method for 2D convection-dominated convection-diffusion equations. Zbl 1397.65259 Di, Yana; Xie, Hehu; Yin, Xiaobo 1 2018 A multilevel correction method for interior transmission eigenvalue problem. Zbl 1385.65057 Xie, Hehu; Wu, Xinming 17 2017 Nonconforming finite element method for the transmission eigenvalue problem. Zbl 1490.65253 Ji, Xia; Xi, Yingxia; Xie, Hehu 13 2017 Computable error estimates for a nonsymmetric eigenvalue problem. Zbl 1383.65137 Xie, Hehu; Xie, Manting; Yin, Xiaobo; Yue, Meiling 6 2017 A cascadic multigrid method for eigenvalue problem. Zbl 1399.65351 Han, Xiaole; Xie, Hehu; Xu, Fei 5 2017 Superconvergence analysis of gradient recovery method for TM model of electromagnetic scattering in the cavity. Zbl 1488.65630 Jia, Shanghui; Yao, Changhui; Xie, Hehu 3 2017 Adaptive multilevel correction method for finite element approximations of elliptic optimal control problems. Zbl 1378.49027 Gong, Wei; Xie, Hehu; Yan, Ningning 2 2017 A full multigrid method for nonlinear eigenvalue problems. Zbl 1354.65236 Jia, ShangHui; Xie, HeHu; Xie, ManTing; Xu, Fei 35 2016 A full multigrid method for eigenvalue problems. Zbl 1352.65459 Chen, Hongtao; Xie, Hehu; Xu, Fei 34 2016 Parameter-free time adaptivity based on energy evolution for the Cahn-Hilliard equation. Zbl 1388.65060 Luo, Fuesheng; Tang, Tao; Xie, Hehu 16 2016 A multigrid method for ground state solution of Bose-Einstein condensates. Zbl 1373.82042 Xie, Hehu; Xie, Manting 15 2016 Local and parallel finite element algorithm based on multilevel discretization for eigenvalue problems. Zbl 1347.65171 Han, Xiaole; Li, Yu; Xie, Hehu; You, Chunguang 11 2016 A multi-level correction scheme for eigenvalue problems. Zbl 1307.65159 Lin, Qun; Xie, Hehu 76 2015 Error analysis of a mixed finite element method for the molecular beam epitaxy model. Zbl 1327.35152 Qiao, Zhonghua; Tang, Tao; Xie, Hehu 19 2015 A multilevel correction method for Steklov eigenvalue problem by nonconforming finite element methods. Zbl 1349.65603 Han, Xiaole; Li, Yu; Xie, Hehu 15 2015 Multilevel correction adaptive finite element method for semilinear elliptic equation. Zbl 1363.65200 Lin, Qun; Xie, Hehu; Xu, Fei 11 2015 Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem. Zbl 1330.76080 Xie, Hehu; Yin, Xiaobo 9 2015 A multilevel correction method for optimal controls of elliptic equations. Zbl 1322.49049 Gong, Wei; Xie, Hehu; Yan, Ningning 7 2015 A type of multi-level correction scheme for eigenvalue problems by nonconforming finite element methods. Zbl 1333.65135 Xie, Hehu 7 2015 A multigrid method for eigenvalue problems based on shifted-inverse power technique. Zbl 1323.65114 Chen, Hongtao; He, Yunhui; Li, Yu; Xie, Hehu 7 2015 A multilevel finite element method for Fredholm integral eigenvalue problems. Zbl 1349.65724 Xie, Hehu; Zhou, Tao 6 2015 A multigrid method for nonlinear eigenvalue problems. Zbl 1488.65596 Xie, Hehu 5 2015 A multilevel correction method for Stokes eigenvalue problems and its applications. Zbl 1382.65373 Lin, Qun; Luo, Fusheng; Xie, Hehu 2 2015 A multigrid method for eigenvalue problem. Zbl 1352.65631 Xie, Hehu 54 2014 A multigrid method for Helmholtz transmission eigenvalue problems. Zbl 1305.65225 Ji, Xia; Sun, Jiguang; Xie, Hehu 51 2014 A type of multilevel method for the Steklov eigenvalue problem. Zbl 1312.65178 Xie, Hehu 47 2014 Lower bounds of the discretization error for piecewise polynomials. Zbl 1280.65118 Lin, Qun; Xie, Hehu; Xu, Jinchao 35 2014 A posterior error estimator and lower bound of a nonconforming finite element method. Zbl 1293.65158 Lin, Qun; Luo, Fusheng; Xie, Hehu 5 2014 Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem. Zbl 1340.65257 Feng, Xinlong; Weng, Zhifeng; Xie, Hehu 5 2014 A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem. Zbl 1291.65344 Jia, Shang Hui; Luo, Fu Sheng; Xie, He Hu 5 2014 Metric tensors for the interpolation error and its gradient in \(L^p\) norm. Zbl 1349.65674 Xie, Hehu; Yin, Xiaobo 2 2014 Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations. Zbl 1274.65296 Li, Qin; Lin, Qun; Xie, Hehu 34 2013 Spectral methods for weakly singular Volterra integral equations with pantograph delays. Zbl 1273.65201 Zhang, Ran; Zhu, Benxi; Xie, Hehu 21 2013 The \(hp\) discontinuous Galerkin method for delay differential equations with nonlinear vanishing delay. Zbl 1276.65039 Huang, Qiumei; Xie, Hehu; Brunner, Hermann 17 2013 A posteriori error estimator for eigenvalue problems by mixed finite element method. Zbl 1264.65192 Jia, ShangHui; Chen, HongTao; Xie, HeHu 15 2013 High-order convergence of spectral deferred correction methods on general quadrature nodes. Zbl 1277.65062 Tang, Tao; Xie, Hehu; Yin, Xiaobo 15 2013 Recent results on lower bounds of eigenvalue problems by nonconforming finite element methods. Zbl 1273.65178 Lin, Qun; Xie, Hehu 8 2013 Extrapolation of the finite element method on general meshes. Zbl 1290.65115 Lin, Qun; Xie, Hehu 1 2013 Computing the lower and upper bounds of Laplace eigenvalue problem by combining conforming and nonconforming finite element methods. Zbl 1261.65112 Luo, FuSheng; Lin, Qun; Xie, HeHu 34 2012 A multilevel correction type of adaptive finite element method for Steklov eigenvalue problems. Zbl 1313.65298 Lin, Qun; Xie, Hehu 13 2012 The asymptotic lower bounds of eigenvalue problems by nonconforming finite element methods. Zbl 1289.65251 Lin, Qun; Xie, Hehu 11 2012 A superconvergence result for mixed finite element approximations of the eigenvalue problem. Zbl 1277.65091 Lin, Qun; Xie, Hehu 5 2012 Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems. Zbl 1228.76078 Ahmed, N.; Matthies, G.; Tobiska, L.; Xie, H. 26 2011 Collocation methods for general Volterra functional integral equations with vanishing delays. Zbl 1239.65085 Xie, Hehu; Zhang, Ran; Brunner, Hermann 21 2011 Superconvergence of discontinuous Galerkin solutions for delay differential equations of pantograph type. Zbl 1232.65102 Huang, Qiumei; Xie, Hehu; Brunner, Hermann 20 2011 Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes problem. Zbl 1410.76168 Eichel, Hagen; Tobiska, Lutz; Xie, Hehu 18 2011 Postprocessing and higher order convergence for the mixed finite element approximations of the eigenvalue problem. Zbl 1209.65126 Chen, Hongtao; Jia, Shanghui; Xie, Hehu 16 2011 Analysis of collocation solutions for a class of functional equations with vanishing delays. Zbl 1259.65205 Brunner, Hermann; Xie, Hehu; Zhang, Ran 13 2011 An observation on Aubin-Nitsche lemma and its applications. Zbl 1265.65235 Lin, Qun; Xie, Hehu 12 2011 Superconvergence measurement for general meshes by the linear finite element method. Zbl 1249.65221 Lin, Qun; Xie, Hehu 3 2011 A type of finite element gradient recovery method based on vertex-edge-face interpolation: the recovery technique and superconvergence property. Zbl 1302.65253 Lin, Qun; Xie, Hehu 1 2011 Discontinuous Galerkin methods for delay differential equations of pantograph type. Zbl 1219.65076 Brunner, Hermann; Huang, Qiumei; Xie, Hehu 40 2010 Stokes eigenvalue approximations from below with nonconforming mixed finite element methods. Zbl 1493.65214 Lin, Qun; Xie, He Hu; Luo, Fu Sheng; Li, Yu; Yang, Yi Du 21 2010 New expansions of numerical eigenvalue for \(-\Delta u=\lambda\rho u\) by linear elements on different triangular meshes. Zbl 1498.65193 Lin, Qun; Xie, Hehu 3 2010 Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods. Zbl 1212.65434 Jia, Shanghui; Xie, Hehu; Yin, Xiaobo; Gao, Shaoqin 20 2009 Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems. Zbl 1212.65431 Chen, Hongtao; Jia, Shanghui; Xie, Hehu 19 2009 Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method. Zbl 1201.65202 Lin, Qun; Xie, Hehu 16 2009 Superconvergence of Galerkin solutions for Hammerstein equations. Zbl 1499.65746 Huang, Qiumei; Xie, Hehu 8 2009 Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods. Zbl 1151.65086 Jia, Shanghui; Xie, Hehu; Yin, Xiaobo; Gao, Shaoqin 15 2008 Asymptotic expansions and extrapolations of eigenvalues for the Stokes problem by mixed finite element methods. Zbl 1149.65090 Yin, Xiaobo; Xie, Hehu; Jia, Shanghui; Gao, Shaoqin 15 2008 Extrapolation of the Nédélec element for the Maxwell equations by the mixed finite element method. Zbl 1166.78008 Xie, Hehu 4 2008 Extrapolation for the second order elliptic problems by mixed finite element methods in three dimensions. Zbl 1147.65097 Xie, Hehu; Jia, Shanghui 1 2008 all cited Publications top 5 cited Publications all top 5 Cited by 740 Authors 49 Yang, Yidu 43 Xie, Hehu 40 Bi, Hai 38 Xu, Fei 25 Huang, Qiumei 19 Han, Jiayu 18 Xie, ManTing 15 Shi, Dongyang 13 Ma, Hongkun 13 Sun, Jiguang 13 Zhang, Yu 12 Ji, Xia 11 An, Jing 10 Yue, Meiling 9 Jia, Shanghui 9 Xi, Yingxia 9 Zhang, Ran 9 Zhang, Zhimin 8 Mei, Liquan 8 Meng, Jian 8 Yi, Lijun 8 Zhai, Qilong 7 Chen, Yanping 7 Feng, Xinlong 7 Huang, Pengzhan 7 Huang, Yunqing 7 Luo, Fusheng 7 Matthies, Gunar 7 Rivera, Gonzalo 7 Tan, Ting 7 Weng, Zhifeng 7 Yin, Xiaobo 7 Zhang, Shuo 6 Ahmed, Naveed 6 Chen, Wenbin 6 Lepe, Felipe 6 Lin, Qun 6 Liu, Xuefeng 6 Shi, Xiulian 6 Wang, Shixi 6 Zhao, Yanmin 5 Chen, Hongtao 5 Hu, Guanghui 5 Huang, Chengming 5 Li, Hao 5 Peterseim, Daniel 5 Zhang, Hui 5 Zou, Yongkui 4 Dusson, Geneviève 4 Gong, Bo 4 Gong, Wei 4 Henning, Patrick 4 Hu, Jun 4 Li, Tiexiang 4 Liao, Xin 4 Lin, Wen-Wei 4 Maday, Yvon 4 Mora, David 4 Qiao, Zhonghua 4 Speck, Robert 4 Stamm, Benjamin 4 Temizer, Ilker 4 Vejchodský, Tomáš 4 Wang, Cheng 4 Wang, Ruishu 4 Wang, Zhongqing 4 Xu, Xiuxiu 4 Xu, Xuejun 4 Yang, Qingzhi 4 Yao, Changhui 4 Yüzbaşı, Şuayip 4 Zhu, Shengfeng 3 Altmann, Robert 3 Bause, Markus 3 Cai, Haotao 3 Cancès, Eric 3 Cao, Waixiang 3 Carstensen, Carsten 3 Chen, Rui 3 Chen, Shuangshuang 3 He, Xiaoming 3 He, Yinnian 3 Hu, Xianliang 3 Huang, Fenglin 3 Huang, Tsungming 3 Jiang, Wei 3 Khelifi, Abdessatar 3 Kim, Junseok 3 Li, Xiao 3 Liang, Qigang 3 Lü, Tao 3 Machado, José António Tenreiro 3 Ming, Wanyuan 3 Nie, Yufeng 3 Peng, Hui 3 Rodríguez, Rodolfo 3 Rubino, Samuele 3 Sun, Lingling 3 Tobiska, Lutz 3 Türk, Önder ...and 640 more Authors all top 5 Cited in 99 Serials 60 Journal of Scientific Computing 36 Journal of Computational and Applied Mathematics 29 Applied Numerical Mathematics 28 Computers & Mathematics with Applications 28 Applied Mathematics and Computation 25 Journal of Computational Physics 19 Advances in Applied Mathematics and Mechanics 18 SIAM Journal on Numerical Analysis 17 International Journal of Computer Mathematics 15 SIAM Journal on Scientific Computing 15 Computational and Applied Mathematics 14 Computer Methods in Applied Mechanics and Engineering 14 Numerical Algorithms 14 Communications in Computational Physics 14 Science China. Mathematics 13 Mathematics of Computation 12 Numerical Methods for Partial Differential Equations 12 Advances in Computational Mathematics 11 Mathematical Methods in the Applied Sciences 10 BIT 8 Calcolo 7 Applications of Mathematics 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 East Asian Journal on Applied Mathematics 6 Mathematical Problems in Engineering 6 Discrete and Continuous Dynamical Systems. Series B 5 Journal of Computational Mathematics 5 Journal of Applied Mathematics and Computing 4 Numerische Mathematik 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Communications in Nonlinear Science and Numerical Simulation 3 Inverse Problems 3 SIAM Journal on Matrix Analysis and Applications 3 Engineering Analysis with Boundary Elements 3 Abstract and Applied Analysis 3 Journal of Inequalities and Applications 3 Numerical Mathematics: Theory, Methods and Applications 2 Lithuanian Mathematical Journal 2 Chaos, Solitons and Fractals 2 International Journal for Numerical Methods in Engineering 2 Mathematics and Computers in Simulation 2 Numerical Functional Analysis and Optimization 2 Mathematica Numerica Sinica 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Mathematicae Applicatae Sinica. English Series 2 Japan Journal of Industrial and Applied Mathematics 2 Applied Mathematical Modelling 2 Numerical Linear Algebra with Applications 2 Computing and Visualization in Science 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Multiscale Modeling & Simulation 2 Advances in Difference Equations 2 International Journal of Numerical Analysis and Modeling 2 Communications in Applied Mathematics and Computational Science 2 Journal of Applied Analysis and Computation 2 Mathematical Sciences 2 Journal of Function Spaces 2 Research in the Mathematical Sciences 2 International Journal of Applied and Computational Mathematics 2 Open Mathematics 2 Korean Journal of Mathematics 1 Applicable Analysis 1 Computer Physics Communications 1 Journal of Engineering Mathematics 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 ACM Transactions on Mathematical Software 1 Journal of Differential Equations 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 Computational Mathematics and Mathematical Physics 1 Computational Optimization and Applications 1 Tatra Mountains Mathematical Publications 1 Applied and Computational Harmonic Analysis 1 Turkish Journal of Mathematics 1 Filomat 1 Complexity 1 Discrete and Continuous Dynamical Systems 1 Journal of Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Taiwanese Journal of Mathematics 1 Revista Matemática Complutense 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Kragujevac Journal of Mathematics 1 Computational Methods in Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 JP Journal of Algebra, Number Theory and Applications 1 Journal of Numerical Mathematics 1 Communications on Pure and Applied Analysis 1 Proyecciones 1 Journal of Physics A: Mathematical and Theoretical 1 Inverse Problems and Imaging 1 Advances in Mathematical Physics 1 Numerical Algebra, Control and Optimization 1 ISRN Applied Mathematics 1 SIAM/ASA Journal on Uncertainty Quantification 1 European Journal of Mathematics 1 Communications on Applied Mathematics and Computation 1 Results in Applied Mathematics all top 5 Cited in 35 Fields 545 Numerical analysis (65-XX) 269 Partial differential equations (35-XX) 68 Fluid mechanics (76-XX) 57 Integral equations (45-XX) 46 Mechanics of deformable solids (74-XX) 25 Ordinary differential equations (34-XX) 22 Optics, electromagnetic theory (78-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Operator theory (47-XX) 11 Approximations and expansions (41-XX) 11 Operations research, mathematical programming (90-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Potential theory (31-XX) 10 Quantum theory (81-XX) 9 Special functions (33-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Probability theory and stochastic processes (60-XX) 6 Computer science (68-XX) 5 Real functions (26-XX) 5 Biology and other natural sciences (92-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year