Edit Profile (opens in new tab) Yang, Yidu Co-Author Distance Author ID: yang.yidu Published as: Yang, Yidu; Yang, Yi Du; Yang, YiDu; Yang, Y. D.; Yang, Yi-du more...less Documents Indexed: 133 Publications since 1982, including 5 Additional arXiv Preprints Co-Authors: 42 Co-Authors with 108 Joint Publications 1,664 Co-Co-Authors all top 5 Co-Authors 20 single-authored 58 Bi, Hai 23 Han, Jiayu 16 Zhang, Yu 11 Li, Hao 8 Wang, Shixi 7 Lin, Qun 5 Li, Qin 5 Yu, Yuanyuan 5 Zhang, Xuqing 4 Li, Yanjun 4 Lin, Fubiao 4 Zhang, Zhimin 3 Fan, Xinyue 3 Huang, Qiumei 3 Shih, Tsimin 3 Sun, Lingling 2 Chen, Zhen 2 Feng, Jinhua 2 Jiang, Wei 2 Li, Sirui 2 Li, Zhengxia 2 Liu, Jie 2 Lü, Tao 2 Ren, Shanjing 2 Shih, Tien-Mo 1 Chen, Xing 1 Gao, Junbin 1 Li, Qingbo 1 Li, Yu 1 Liem, Chin-Bo 1 Liem, Chinbo 1 Luo, Fusheng 1 Luo, Yao 1 Peng, Zhonglan 1 Tang, Geng 1 Wang, Hua 1 Wang, Shijie 1 Wang, Wenjun 1 Xie, Hehu 1 Yng, Jinjun 1 Zhao, Qichao 1 Zhao, Ruilin all top 5 Serials 7 Computers & Mathematics with Applications 7 Mathematica Numerica Sinica 7 Mathematics in Practice and Theory 7 Journal of Guizhou Normal University. Natural Science 6 Applied Mathematics and Computation 6 Applied Numerical Mathematics 6 Journal of Scientific Computing 6 Mathematical Problems in Engineering 5 Numerical Mathematics 5 Journal of Computational Mathematics 5 Science China. Mathematics 4 Mathematical Methods in the Applied Sciences 4 Numerical Methods for Partial Differential Equations 4 Abstract and Applied Analysis 4 International Journal of Applied Mathematics and Statistics 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Mathematics. Wuhan University 3 SIAM Journal on Scientific Computing 3 Advances in Computational Mathematics 3 Chinese Journal of Numerical Mathematics and Applications 2 Journal of Systems Science and Mathematical Sciences 2 Science in China. Series A 2 International Journal of Computer Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 International Journal of Numerical Analysis and Modeling 2 Communications in Computational Physics 2 Chinese Journal of Engineering Mathematics 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Journal of Mathematical Research & Exposition 1 Northeastern Mathematical Journal 1 Applied Mathematics Letters 1 Applications of Mathematics 1 Numerical Algorithms 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal on Numerical Methods and Computer Applications 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of Inequalities and Applications 1 Journal of Applied Mathematics and Computing 1 Scientia Sinica. Mathematica 1 East Asian Journal on Applied Mathematics 1 Open Mathematics all top 5 Fields 132 Numerical analysis (65-XX) 64 Partial differential equations (35-XX) 11 Mechanics of deformable solids (74-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 4 Optics, electromagnetic theory (78-XX) 3 Potential theory (31-XX) 3 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 80 Publications have been cited 650 times in 262 Documents Cited by ▼ Year ▼ Two-grid finite element discretization schemes based on shifted-inverse power method for elliptic eigenvalue problems. Zbl 1236.65143 Yang, Yidu; Bi, Hai 53 2011 Eigenvalue approximation from below using non-conforming finite elements. Zbl 1187.65125 Yang, Yidu; Zhang, Zhimin; Lin, Fubiao 47 2010 Mixed methods for the Helmholtz transmission eigenvalues. Zbl 1338.65240 Yang, Yidu; Bi, Hai; Li, Hao; Han, Jiayu 41 2016 A posteriori error estimates in Adini finite element for eigenvalue problems. Zbl 0957.65092 Yang, Yidu 23 2000 Nonconforming finite element approximations of the Steklov eigenvalue problem. Zbl 1190.65168 Yang, Yidu; Li, Qin; Li, Sirui 22 2009 Non-conforming finite element methods for transmission eigenvalue problem. Zbl 1436.74034 Yang, Yidu; Han, Jiayu; Bi, Hai 22 2016 Eigenvalue approximations from below using Morley elements. Zbl 1253.65181 Yang, Yidu; Lin, Qun; Bi, Hai; Li, Qin 20 2012 A two-grid method of the non-conforming Crouzeix-Raviart element for the Steklov eigenvalue problem. Zbl 1222.65121 Bi, Hai; Yang, Yidu 20 2011 A two-grid discretization scheme for the Steklov eigenvalue problem. Zbl 1220.65160 Li, Qin; Yang, Yidu 16 2011 The shifted-inverse iteration based on the multigrid discretizations for eigenvalue problems. Zbl 1327.65229 Yang, Yidu; Bi, Hai; Han, Jiayu; Yu, Yuanyuan 16 2015 A new multigrid finite element method for the transmission eigenvalue problems. Zbl 1410.65448 Han, Jiayu; Yang, Yidu; Bi, Hai 16 2017 Eigenvalue approximation from below by Wilson’s element. Zbl 1142.65435 Zhang, Zhimin; Yang, Yidu; Chen, Zhen 15 2007 Local and parallel finite element discretizations for eigenvalue problems. Zbl 1292.65120 Bi, Hai; Yang, Yidu; Li, Hao 15 2013 A \(C^0 \mathrm{IPG}\) method and its error estimates for the Helmholtz transmission eigenvalue problem. Zbl 1370.65068 Yang, Yidu; Bi, Hai; Li, Hao; Han, Jiayu 13 2017 The order-preserving convergence for spectral approximation of self-adjoint completely continuous operators. Zbl 1153.65055 Yang, Yidu; Chen, Zhen 13 2008 The adaptive finite element method based on multi-scale discretizations for eigenvalue problems. Zbl 1266.65196 Li, Hao; Yang, Yidu 13 2013 Generalized Rayleigh quotient and finite element two-grid discretization schemes. Zbl 1188.65151 Yang, YiDu; Fan, XinYue 12 2009 \(H^2\)-conforming methods and two-grid discretizations for the elastic transmission eigenvalue problem. Zbl 1473.65283 Yang, Yidu; Han, Jiayu; Bi, Hai 12 2020 Upper spectral bounds and a posteriori error analysis of several mixed finite element approximations for the Stokes eigenvalue problem. Zbl 1273.65171 Yang, YiDu; Jiang, Wei 12 2013 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 12 2010 A type of adaptive \(C^0\) non-conforming finite element method for the Helmholtz transmission eigenvalue problem. Zbl 1441.78026 Yang, Yidu; Zhang, Yu; Bi, Hai 12 2020 An adaptive algorithm based on the shifted inverse iteration for the Steklov eigenvalue problem. Zbl 1382.65372 Bi, Hai; Li, Hao; Yang, Yidu 10 2016 A new adaptive mixed finite element method based on residual type a posterior error estimates for the Stokes eigenvalue problem. Zbl 1338.65237 Han, Jiayu; Zhang, Zhimin; Yang, Yidu 10 2015 Lower spectral bounds by Wilson’s brick discretization. Zbl 1198.65220 Yang, Yidu; Bi, Hai 9 2010 An \(H^m\)-conforming spectral element method on multi-dimensional domain and its application to transmission eigenvalues. Zbl 1385.65055 Han, JiaYu; Yang, YiDu 9 2017 A class of spectral element methods and its a priori/a posteriori error estimates for 2nd-order elliptic eigenvalue problems. Zbl 1291.65332 Han, Jiayu; Yang, Yidu 9 2013 An adaptive finite element method for the transmission eigenvalue problem. Zbl 1377.65145 Han, Jiayu; Yang, Yidu 9 2016 Conforming finite element approximations for a fourth-order Steklov eigenvalue problem. Zbl 1235.65119 Bi, Hai; Ren, Shixian; Yang, Yidu 9 2011 Multiscale discretization scheme based on the Rayleigh quotient iterative method for the Steklov eigenvalue problem. Zbl 1264.65184 Bi, Hai; Yang, Yidu 8 2012 Local a priori/a posteriori error estimates of conforming finite elements approximation for Steklov eigenvalue problems. Zbl 1306.65274 Yang, Yidu; Bi, Hai 8 2014 The multilevel mixed finite element discretizations based on local defect-correction for the Stokes eigenvalue problem. Zbl 1425.65137 Yang, Yidu; Han, Jiayu 8 2015 The lower/upper bound property of the Crouzeix-Raviart element eigenvalues on adaptive meshes. Zbl 1320.65163 Yang, Yidu; Han, Jiayu; Bi, Hai; Yu, Yuanyuan 7 2015 Non-conforming Crouzeix-Raviart element approximation for Stekloff eigenvalues in inverse scattering. Zbl 1472.65137 Yang, Yidu; Zhang, Yu; Bi, Hai 7 2020 A multilevel correction method for convection-diffusion eigenvalue problems. Zbl 1394.65139 Peng, Zhonglan; Bi, Hai; Li, Hao; Yang, Yidu 7 2015 A two-scale discretization scheme for mixed variational formulation of eigenvalue problems. Zbl 1246.65220 Yang, Yidu; Jiang, Wei; Zhang, Yu; Wang, Wenjun; Bi, Hai 6 2012 Mixed methods for the elastic transmission eigenvalue problem. Zbl 1447.65166 Yang, Yidu; Han, Jiayu; Bi, Hai; Li, Hao; Zhang, Yu 6 2020 An adaptive \(C^0\)IPG method for the Helmholtz transmission eigenvalue problem. Zbl 1402.65147 Li, Hao; Yang, Yidu 6 2018 Local and parallel finite element algorithms for the Steklov eigenvalue problem. Zbl 1337.65143 Bi, Hai; Li, Zhengxia; Yang, Yidu 5 2016 A posteriori error analysis of conforming/nonconforming finite elements. Zbl 1488.65598 Yang, Yidu 5 2010 Two-grid discretizations and a local finite element scheme for a non-selfadjoint Stekloff eigenvalue problem. Zbl 1453.65402 Bi, Hai; Zhang, Yu; Yang, Yidu 5 2020 \(C^0\mathrm{IPG}\) adaptive algorithms for the biharmonic eigenvalue problem. Zbl 1402.65146 Li, Hao; Yang, Yidu 5 2018 Local and parallel finite element algorithms for the transmission eigenvalue problem. Zbl 1410.65435 Bi, Hai; Han, Jiayu; Yang, Yidu 4 2019 A note on the residual type a posteriori error estimates for finite element eigenpairs of nonsymmetric elliptic eigenvalue problems. Zbl 1291.65334 Yang, Yidu; Sun, Lingling; Bi, Hai; Li, Hao 4 2014 The finite element method for the elastic transmission eigenvalue problem with different elastic tensors. Zbl 1503.65284 Yang, Yidu; Wang, Shixi; Bi, Hai 4 2022 Local and parallel finite element method for solving the biharmonic eigenvalue problem of plate vibration. Zbl 1416.74093 Zhao, Ruilin; Yang, Yidu; Bi, Hai 4 2019 A note on Richardson extrapolation of Galerkin methods for eigenvalue problems of Fredholm integral equations. Zbl 1174.65057 Huang, Qiumei; Yang, Yidu 3 2008 The lower bound property of the Morley element eigenvalues. Zbl 1359.65244 Yang, Yidu; Li, Hao; Bi, Hai 3 2016 The extrapolation of numerical eigenvalues by finite elements for differential operators. Zbl 1282.65145 Yang, Yidu; Bi, Hai; Li, Sirui 3 2013 Multilevel finite element discretizations based on local defect correction for nonsymmetric eigenvalue problems. Zbl 1443.65379 Yang, Yidu; Han, Jiayu 3 2015 Two-grid discretization schemes of the nonconforming FEM for eigenvalue problems. Zbl 1212.65438 Yang, Yidu 3 2009 \(N\)-simplex Crouzeix-Raviart element for the second order elliptic/eigenvalue problems. Zbl 1499.65637 Yang, Yidu; Lin, Fubiao; Zhang, Zhimin 3 2009 Multigrid discretization and iterative algorithm for mixed variational formulation of the eigenvalue problem of electric field. Zbl 1256.78001 Yang, Yidu; Zhang, Yu; Bi, Hai 3 2012 Superconvergence and a posteriori error estimate of the nonconforming Wilson finite element method for eigenvalue problems. Zbl 0937.65112 Yang, Yidu 2 1999 Iterated Galerkin method and Rayleigh quotient for accelerating convergence of eigenvalue problems. Zbl 1174.65517 Yang, Yidu 2 2008 Spectral method with the tensor-product nodal basis for the Steklov eigenvalue problem. Zbl 1299.65281 Zhang, Xuqing; Yang, Yidu; Bi, Hai 2 2013 Highly efficient calculation schemes of finite-element filter approach for the eigenvalue problem of electric field. Zbl 1264.78040 Zhang, Yu; Yang, Yidu; Liu, Jie 2 2012 The adaptive Ciarlet-Raviart mixed method for biharmonic problems with simply supported boundary condition. Zbl 1429.65280 Yang, Yidu; Bi, Hai; Zhang, Yu 2 2018 A two-grid discretization scheme of non-conforming finite elements for transmission eigenvalues. Zbl 1409.65099 Wang, Shixi; Bi, Hai; Zhang, Yu; Yang, Yidu 2 2018 The two-grid discretization of Ciarlet-Raviart mixed method for biharmonic eigenvalue problems. Zbl 1456.65178 Zhang, Yu; Bi, Hai; Yang, Yidu 2 2019 A note about nonconforming finite element approximations of the Steklov eigenvalue problem. Zbl 1212.65435 Li, Qin; Yang, Yidu 2 2009 Interpolation and correction of finite element methods. Zbl 1493.65215 Lin, Qun; Yang, Yi Du 2 1991 A multigrid correction scheme for a new Steklov eigenvalue problem in inverse scattering. Zbl 1480.65325 Zhang, Yu; Bi, Hai; Yang, Yidu 2 2020 The a posteriori error estimates and adaptive computation of nonconforming mixed finite elements for the Stokes eigenvalue problem. Zbl 1510.65291 Sun, Lingling; Yang, Yidu 2 2022 Local and parallel finite element schemes for the elastic transmission eigenvalue problem. Zbl 1481.65215 Bi, Hai; Han, Jiayu; Yang, Yidu 2 2021 A correction method for finding lower bounds of eigenvalues of the second-order elliptic and Stokes operators. Zbl 1431.65210 Zhang, Yu; Yang, Yidu 2 2019 A finite element defect correction scheme and lower bounds for the eigenvalue. Zbl 1126.65097 Yang, Yidu 1 2006 An abstract error estimate for eigenvalue finite element approximation. Zbl 0923.65024 Yang, Yidu; Shih, Tsimin; Liem, Chinbo; Lü, Tao 1 1998 A posteriori error estimator for spectral approximations of completely continuous operators. Zbl 1102.65062 Yang, Yidu; Huang, Qiumei 1 2006 Lp estimates and superconvergence of the finite element approximations for eigenvalue problems. Zbl 0622.65093 Yang, Yidu 1 1987 Remarks on the Ciarlet-Raviart mixed finite element. Zbl 0889.65117 Yang, Y. D.; Gao, J. B. 1 1996 Computable error bounds for an eigenvalue problem in the finite element method. Zbl 0900.65301 Yang, Yidu 1 1994 A theorem on superconvergence of the finite element approximations for eigenvalue problems. Zbl 0704.65073 Yang, Yidu 1 1990 One direction extrapolation of finite elements for an elliptic problem on an \(n\)-dimensional rectangular area. Zbl 0857.65119 Shih, T. M.; Liem, C. B.; Yang, Yidu 1 1996 The finite element interpolated correction method for second order elliptic eigenvalue problems. Zbl 0850.65206 Lin, Qun; Yang, Yidu 1 1992 The approximation from below by the Crouzeix-Raviart element for the Steklov eigenvalue problem. Zbl 1327.65226 Bi, H.; Yang, Y. D. 1 2015 Multiscale finite element discretizations based on local defect correction for the biharmonic eigenvalue problem of plate buckling. Zbl 1407.74092 Wang, Shijie; Yang, Yidu; Bi, Hai 1 2019 Guaranteed lower eigenvalue bounds for two spectral problems arising in fluid mechanics. Zbl 1524.65743 Zhang, Yu; Yang, Yidu 1 2021 The two-grid and multigrid discretizations of the \(C^0\)IPG method for biharmonic eigenvalue problem. Zbl 1437.65173 Li, Hao; Bi, Hai; Yang, Yidu 1 2020 The a priori and a posteriori error estimates of DG method for the Steklov eigenvalue problem in inverse scattering. Zbl 1490.65254 Li, Yanjun; Bi, Hai; Yang, Yidu 1 2022 The adaptive finite element method for the Steklov eigenvalue problem in inverse scattering. Zbl 1442.65341 Zhang, Yu; Bi, Hai; Yang, Yidu 1 2020 The finite element method for the elastic transmission eigenvalue problem with different elastic tensors. Zbl 1503.65284 Yang, Yidu; Wang, Shixi; Bi, Hai 4 2022 The a posteriori error estimates and adaptive computation of nonconforming mixed finite elements for the Stokes eigenvalue problem. Zbl 1510.65291 Sun, Lingling; Yang, Yidu 2 2022 The a priori and a posteriori error estimates of DG method for the Steklov eigenvalue problem in inverse scattering. Zbl 1490.65254 Li, Yanjun; Bi, Hai; Yang, Yidu 1 2022 Local and parallel finite element schemes for the elastic transmission eigenvalue problem. Zbl 1481.65215 Bi, Hai; Han, Jiayu; Yang, Yidu 2 2021 Guaranteed lower eigenvalue bounds for two spectral problems arising in fluid mechanics. Zbl 1524.65743 Zhang, Yu; Yang, Yidu 1 2021 \(H^2\)-conforming methods and two-grid discretizations for the elastic transmission eigenvalue problem. Zbl 1473.65283 Yang, Yidu; Han, Jiayu; Bi, Hai 12 2020 A type of adaptive \(C^0\) non-conforming finite element method for the Helmholtz transmission eigenvalue problem. Zbl 1441.78026 Yang, Yidu; Zhang, Yu; Bi, Hai 12 2020 Non-conforming Crouzeix-Raviart element approximation for Stekloff eigenvalues in inverse scattering. Zbl 1472.65137 Yang, Yidu; Zhang, Yu; Bi, Hai 7 2020 Mixed methods for the elastic transmission eigenvalue problem. Zbl 1447.65166 Yang, Yidu; Han, Jiayu; Bi, Hai; Li, Hao; Zhang, Yu 6 2020 Two-grid discretizations and a local finite element scheme for a non-selfadjoint Stekloff eigenvalue problem. Zbl 1453.65402 Bi, Hai; Zhang, Yu; Yang, Yidu 5 2020 A multigrid correction scheme for a new Steklov eigenvalue problem in inverse scattering. Zbl 1480.65325 Zhang, Yu; Bi, Hai; Yang, Yidu 2 2020 The two-grid and multigrid discretizations of the \(C^0\)IPG method for biharmonic eigenvalue problem. Zbl 1437.65173 Li, Hao; Bi, Hai; Yang, Yidu 1 2020 The adaptive finite element method for the Steklov eigenvalue problem in inverse scattering. Zbl 1442.65341 Zhang, Yu; Bi, Hai; Yang, Yidu 1 2020 Local and parallel finite element algorithms for the transmission eigenvalue problem. Zbl 1410.65435 Bi, Hai; Han, Jiayu; Yang, Yidu 4 2019 Local and parallel finite element method for solving the biharmonic eigenvalue problem of plate vibration. Zbl 1416.74093 Zhao, Ruilin; Yang, Yidu; Bi, Hai 4 2019 The two-grid discretization of Ciarlet-Raviart mixed method for biharmonic eigenvalue problems. Zbl 1456.65178 Zhang, Yu; Bi, Hai; Yang, Yidu 2 2019 A correction method for finding lower bounds of eigenvalues of the second-order elliptic and Stokes operators. Zbl 1431.65210 Zhang, Yu; Yang, Yidu 2 2019 Multiscale finite element discretizations based on local defect correction for the biharmonic eigenvalue problem of plate buckling. Zbl 1407.74092 Wang, Shijie; Yang, Yidu; Bi, Hai 1 2019 An adaptive \(C^0\)IPG method for the Helmholtz transmission eigenvalue problem. Zbl 1402.65147 Li, Hao; Yang, Yidu 6 2018 \(C^0\mathrm{IPG}\) adaptive algorithms for the biharmonic eigenvalue problem. Zbl 1402.65146 Li, Hao; Yang, Yidu 5 2018 The adaptive Ciarlet-Raviart mixed method for biharmonic problems with simply supported boundary condition. Zbl 1429.65280 Yang, Yidu; Bi, Hai; Zhang, Yu 2 2018 A two-grid discretization scheme of non-conforming finite elements for transmission eigenvalues. Zbl 1409.65099 Wang, Shixi; Bi, Hai; Zhang, Yu; Yang, Yidu 2 2018 A new multigrid finite element method for the transmission eigenvalue problems. Zbl 1410.65448 Han, Jiayu; Yang, Yidu; Bi, Hai 16 2017 A \(C^0 \mathrm{IPG}\) method and its error estimates for the Helmholtz transmission eigenvalue problem. Zbl 1370.65068 Yang, Yidu; Bi, Hai; Li, Hao; Han, Jiayu 13 2017 An \(H^m\)-conforming spectral element method on multi-dimensional domain and its application to transmission eigenvalues. Zbl 1385.65055 Han, JiaYu; Yang, YiDu 9 2017 Mixed methods for the Helmholtz transmission eigenvalues. Zbl 1338.65240 Yang, Yidu; Bi, Hai; Li, Hao; Han, Jiayu 41 2016 Non-conforming finite element methods for transmission eigenvalue problem. Zbl 1436.74034 Yang, Yidu; Han, Jiayu; Bi, Hai 22 2016 An adaptive algorithm based on the shifted inverse iteration for the Steklov eigenvalue problem. Zbl 1382.65372 Bi, Hai; Li, Hao; Yang, Yidu 10 2016 An adaptive finite element method for the transmission eigenvalue problem. Zbl 1377.65145 Han, Jiayu; Yang, Yidu 9 2016 Local and parallel finite element algorithms for the Steklov eigenvalue problem. Zbl 1337.65143 Bi, Hai; Li, Zhengxia; Yang, Yidu 5 2016 The lower bound property of the Morley element eigenvalues. Zbl 1359.65244 Yang, Yidu; Li, Hao; Bi, Hai 3 2016 The shifted-inverse iteration based on the multigrid discretizations for eigenvalue problems. Zbl 1327.65229 Yang, Yidu; Bi, Hai; Han, Jiayu; Yu, Yuanyuan 16 2015 A new adaptive mixed finite element method based on residual type a posterior error estimates for the Stokes eigenvalue problem. Zbl 1338.65237 Han, Jiayu; Zhang, Zhimin; Yang, Yidu 10 2015 The multilevel mixed finite element discretizations based on local defect-correction for the Stokes eigenvalue problem. Zbl 1425.65137 Yang, Yidu; Han, Jiayu 8 2015 The lower/upper bound property of the Crouzeix-Raviart element eigenvalues on adaptive meshes. Zbl 1320.65163 Yang, Yidu; Han, Jiayu; Bi, Hai; Yu, Yuanyuan 7 2015 A multilevel correction method for convection-diffusion eigenvalue problems. Zbl 1394.65139 Peng, Zhonglan; Bi, Hai; Li, Hao; Yang, Yidu 7 2015 Multilevel finite element discretizations based on local defect correction for nonsymmetric eigenvalue problems. Zbl 1443.65379 Yang, Yidu; Han, Jiayu 3 2015 The approximation from below by the Crouzeix-Raviart element for the Steklov eigenvalue problem. Zbl 1327.65226 Bi, H.; Yang, Y. D. 1 2015 Local a priori/a posteriori error estimates of conforming finite elements approximation for Steklov eigenvalue problems. Zbl 1306.65274 Yang, Yidu; Bi, Hai 8 2014 A note on the residual type a posteriori error estimates for finite element eigenpairs of nonsymmetric elliptic eigenvalue problems. Zbl 1291.65334 Yang, Yidu; Sun, Lingling; Bi, Hai; Li, Hao 4 2014 Local and parallel finite element discretizations for eigenvalue problems. Zbl 1292.65120 Bi, Hai; Yang, Yidu; Li, Hao 15 2013 The adaptive finite element method based on multi-scale discretizations for eigenvalue problems. Zbl 1266.65196 Li, Hao; Yang, Yidu 13 2013 Upper spectral bounds and a posteriori error analysis of several mixed finite element approximations for the Stokes eigenvalue problem. Zbl 1273.65171 Yang, YiDu; Jiang, Wei 12 2013 A class of spectral element methods and its a priori/a posteriori error estimates for 2nd-order elliptic eigenvalue problems. Zbl 1291.65332 Han, Jiayu; Yang, Yidu 9 2013 The extrapolation of numerical eigenvalues by finite elements for differential operators. Zbl 1282.65145 Yang, Yidu; Bi, Hai; Li, Sirui 3 2013 Spectral method with the tensor-product nodal basis for the Steklov eigenvalue problem. Zbl 1299.65281 Zhang, Xuqing; Yang, Yidu; Bi, Hai 2 2013 Eigenvalue approximations from below using Morley elements. Zbl 1253.65181 Yang, Yidu; Lin, Qun; Bi, Hai; Li, Qin 20 2012 Multiscale discretization scheme based on the Rayleigh quotient iterative method for the Steklov eigenvalue problem. Zbl 1264.65184 Bi, Hai; Yang, Yidu 8 2012 A two-scale discretization scheme for mixed variational formulation of eigenvalue problems. Zbl 1246.65220 Yang, Yidu; Jiang, Wei; Zhang, Yu; Wang, Wenjun; Bi, Hai 6 2012 Multigrid discretization and iterative algorithm for mixed variational formulation of the eigenvalue problem of electric field. Zbl 1256.78001 Yang, Yidu; Zhang, Yu; Bi, Hai 3 2012 Highly efficient calculation schemes of finite-element filter approach for the eigenvalue problem of electric field. Zbl 1264.78040 Zhang, Yu; Yang, Yidu; Liu, Jie 2 2012 Two-grid finite element discretization schemes based on shifted-inverse power method for elliptic eigenvalue problems. Zbl 1236.65143 Yang, Yidu; Bi, Hai 53 2011 A two-grid method of the non-conforming Crouzeix-Raviart element for the Steklov eigenvalue problem. Zbl 1222.65121 Bi, Hai; Yang, Yidu 20 2011 A two-grid discretization scheme for the Steklov eigenvalue problem. Zbl 1220.65160 Li, Qin; Yang, Yidu 16 2011 Conforming finite element approximations for a fourth-order Steklov eigenvalue problem. Zbl 1235.65119 Bi, Hai; Ren, Shixian; Yang, Yidu 9 2011 Eigenvalue approximation from below using non-conforming finite elements. Zbl 1187.65125 Yang, Yidu; Zhang, Zhimin; Lin, Fubiao 47 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 12 2010 Lower spectral bounds by Wilson’s brick discretization. Zbl 1198.65220 Yang, Yidu; Bi, Hai 9 2010 A posteriori error analysis of conforming/nonconforming finite elements. Zbl 1488.65598 Yang, Yidu 5 2010 Nonconforming finite element approximations of the Steklov eigenvalue problem. Zbl 1190.65168 Yang, Yidu; Li, Qin; Li, Sirui 22 2009 Generalized Rayleigh quotient and finite element two-grid discretization schemes. Zbl 1188.65151 Yang, YiDu; Fan, XinYue 12 2009 Two-grid discretization schemes of the nonconforming FEM for eigenvalue problems. Zbl 1212.65438 Yang, Yidu 3 2009 \(N\)-simplex Crouzeix-Raviart element for the second order elliptic/eigenvalue problems. Zbl 1499.65637 Yang, Yidu; Lin, Fubiao; Zhang, Zhimin 3 2009 A note about nonconforming finite element approximations of the Steklov eigenvalue problem. Zbl 1212.65435 Li, Qin; Yang, Yidu 2 2009 The order-preserving convergence for spectral approximation of self-adjoint completely continuous operators. Zbl 1153.65055 Yang, Yidu; Chen, Zhen 13 2008 A note on Richardson extrapolation of Galerkin methods for eigenvalue problems of Fredholm integral equations. Zbl 1174.65057 Huang, Qiumei; Yang, Yidu 3 2008 Iterated Galerkin method and Rayleigh quotient for accelerating convergence of eigenvalue problems. Zbl 1174.65517 Yang, Yidu 2 2008 Eigenvalue approximation from below by Wilson’s element. Zbl 1142.65435 Zhang, Zhimin; Yang, Yidu; Chen, Zhen 15 2007 A finite element defect correction scheme and lower bounds for the eigenvalue. Zbl 1126.65097 Yang, Yidu 1 2006 A posteriori error estimator for spectral approximations of completely continuous operators. Zbl 1102.65062 Yang, Yidu; Huang, Qiumei 1 2006 A posteriori error estimates in Adini finite element for eigenvalue problems. Zbl 0957.65092 Yang, Yidu 23 2000 Superconvergence and a posteriori error estimate of the nonconforming Wilson finite element method for eigenvalue problems. Zbl 0937.65112 Yang, Yidu 2 1999 An abstract error estimate for eigenvalue finite element approximation. Zbl 0923.65024 Yang, Yidu; Shih, Tsimin; Liem, Chinbo; Lü, Tao 1 1998 Remarks on the Ciarlet-Raviart mixed finite element. Zbl 0889.65117 Yang, Y. D.; Gao, J. B. 1 1996 One direction extrapolation of finite elements for an elliptic problem on an \(n\)-dimensional rectangular area. Zbl 0857.65119 Shih, T. M.; Liem, C. B.; Yang, Yidu 1 1996 Computable error bounds for an eigenvalue problem in the finite element method. Zbl 0900.65301 Yang, Yidu 1 1994 The finite element interpolated correction method for second order elliptic eigenvalue problems. Zbl 0850.65206 Lin, Qun; Yang, Yidu 1 1992 Interpolation and correction of finite element methods. Zbl 1493.65215 Lin, Qun; Yang, Yi Du 2 1991 A theorem on superconvergence of the finite element approximations for eigenvalue problems. Zbl 0704.65073 Yang, Yidu 1 1990 Lp estimates and superconvergence of the finite element approximations for eigenvalue problems. Zbl 0622.65093 Yang, Yidu 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 258 Authors 64 Yang, Yidu 46 Bi, Hai 22 Han, Jiayu 16 Xie, Hehu 16 Xu, Fei 14 Zhang, Yu 12 An, Jing 11 Zhang, Zhimin 9 Hu, Jun 9 Sun, Jiguang 9 Xie, ManTing 8 Huang, Qiumei 8 Huang, Yunqing 8 Ji, Xia 8 Lin, Qun 8 Shang, Yueqiang 7 Xi, Yingxia 6 Li, Hao 6 Mora, David 6 Velásquez, Iván G. 6 Wang, Shixi 6 Xu, Xuejun 5 Liu, Huipo 5 Luo, Fusheng 5 Meng, Jian 5 Shi, Dongyang 5 Tan, Ting 5 Weng, Zhifeng 5 Yue, Meiling 5 Zhang, Shuo 4 Li, Qin 4 Ma, Hongkun 4 Mei, Liquan 4 Shen, Quan 3 Chen, Yanping 3 Cui, Junzhi 3 Feng, Xinlong 3 Gedicke, Joscha 3 Gong, Bo 3 He, Wenming 3 Huang, Hung-Tsai 3 Jiang, Wei 3 Kleefeld, Andreas 3 Li, Huiyuan 3 Li, Yanjun 3 Li, Zi-Cai 3 Liang, Qigang 3 Liao, Xin 3 Lin, Fubiao 3 Pieronek, Lukas 3 Rivera, Gonzalo 3 Sun, Lingling 3 Türk, Önder 3 Vejchodský, Tomáš 3 Wang, Shuanghu 3 Wang, Wei 3 Yu, Yuanyuan 3 Zhou, Aihui 3 Zhu, Qiding 2 Andreev, Andrey Borissov 2 Cancès, Eric 2 Cao, Waixiang 2 Carstensen, Carsten 2 Chen, Wenbin 2 Dusson, Geneviève 2 Fang, Jun 2 Gao, Xingyu 2 Huang, Ruihao 2 Jia, Shanghui 2 Khan, Arbaz 2 Lepe, Felipe 2 Li, Fuyi 2 Li, Lan 2 Li, Sirui 2 Liang, Zhanping 2 Lin, Xiuxiu 2 Liu, Jie 2 Liu, Xuefeng 2 Luo, Zhendong 2 Ma, Limin 2 Ma, Yunyun 2 Maday, Yvon 2 Meng, XiangYun 2 Racheva, Milena R. 2 Ren, Shanjing 2 Rodríguez, Rodolfo 2 Shao, Nian 2 Stamm, Benjamin 2 Turner, Tiara 2 Vohralík, Martin 2 Wang, Lele 2 Xiong, Chunguang 2 Yan, Ningning 2 Zhai, Shuying 2 Zhang, Xuqing 2 Zhang, Ying 2 Zhou, Chenguang 2 Zhou, Jianwei 2 Zhu, Xiaoli 1 Achchab, Boujemaa ...and 158 more Authors all top 5 Cited in 61 Serials 35 Journal of Scientific Computing 18 Computers & Mathematics with Applications 15 Applied Mathematics and Computation 14 Journal of Computational and Applied Mathematics 13 Science China. Mathematics 10 Applied Numerical Mathematics 9 Numerical Methods for Partial Differential Equations 9 Mathematical Problems in Engineering 8 Advances in Computational Mathematics 7 Mathematics of Computation 7 SIAM Journal on Scientific Computing 7 Communications in Computational Physics 6 Computer Methods in Applied Mechanics and Engineering 6 Numerical Algorithms 6 Discrete and Continuous Dynamical Systems. Series B 5 Numerische Mathematik 5 SIAM Journal on Numerical Analysis 5 International Journal of Computer Mathematics 5 Advances in Applied Mathematics and Mechanics 4 Journal of Computational Physics 4 BIT 4 Calcolo 4 Applications of Mathematics 4 Abstract and Applied Analysis 3 Science in China. Series A 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Journal of Inequalities and Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Applied Mathematical Modelling 2 Inverse Problems and Imaging 2 East Asian Journal on Applied Mathematics 2 Research in the Mathematical Sciences 2 Open Mathematics 1 Applicable Analysis 1 Computers and Fluids 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Journal of Differential Equations 1 Mathematics and Computers in Simulation 1 Numerical Functional Analysis and Optimization 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematicae Applicatae Sinica. English Series 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Topological Methods in Nonlinear Analysis 1 Engineering Analysis with Boundary Elements 1 Optimization Methods & Software 1 Acta Mathematica Sinica. English Series 1 Journal of Applied Mathematics and Computing 1 Multiscale Modeling & Simulation 1 International Journal of Numerical Analysis and Modeling 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Mathematical Physics 1 Advances in Pure and Applied Mathematics 1 European Journal of Mathematics 1 International Journal of Applied and Computational Mathematics 1 Electronic Research Archive 1 SN Partial Differential Equations and Applications 1 Results in Applied Mathematics all top 5 Cited in 22 Fields 248 Numerical analysis (65-XX) 142 Partial differential equations (35-XX) 29 Mechanics of deformable solids (74-XX) 20 Fluid mechanics (76-XX) 12 Potential theory (31-XX) 12 Optics, electromagnetic theory (78-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Operator theory (47-XX) 3 Integral equations (45-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Citations by Year