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## Lin, Qun

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 Author ID: lin.qun Published as: Lin, C.; Lin, Chün; Lin, Q.; Lin, Qun Homepage: http://lsec.cc.ac.cn/~linq/english_version.html External Links: Math-Net.Ru · dblp
 Documents Indexed: 225 Publications since 1959, including 6 Books
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#### Co-Authors

 37 single-authored 17 Rokne, Jon G. 17 Xie, Hehu 17 Zhang, Shuhua 14 Yan, Ningning 13 Zhou, Junming 11 Lin, Jiafu 11 Lu, Tao 11 Zhou, Aihui 7 Chen, Hongtao 7 Huang, Yunqing 7 Shi, Jun 7 Xie, Ruifeng 6 Wang, Hong 5 Ding, Yanheng 5 Luo, Ping 5 Zhu, Qiding 4 Li, Zi-Cai 4 Luo, Fusheng 4 Yang, Yidu 3 Chen, Hongsen 3 Huang, Hung-Tsai 3 Peng, Wujian 3 Shen, Shumin 3 Wang, Junping 3 Zhu, Guangtian 2 Brunner, Hermann 2 Chen, Chuandan 2 Duan, Huoyuan 2 Jiang, Lishang 2 Li, Jichun 2 Li, Mingxia 2 Li, Qin 2 Liu, Jiaquan 2 Pan, Jianhua 2 Wang, Kaixin 2 Xu, Jinchao 2 Yin, Xiaobo 2 Ying, Lungan 1 Bi, Hai 1 Blum, Heribert 1 Chen, Chuanmiao 1 Chen, Wei 1 Chen, Wei 1 Chen, Ying 1 Ding, Xia-xi 1 Fairweather, Graeme 1 Graham, Ivan G. 1 Hu, Jun 1 Hu, Qiya 1 Jia, Erhui 1 Kong, Qingkai 1 Křížek, Michal 1 Li, Jin 1 Li, Yu 1 Lin, Tao 1 Lin, Xibin 1 Lin, Yanping 1 Liu, Juanquan 1 Liu, Tang 1 Luo, Peizhu 1 Neittaanmäki, Pekka J. 1 Rannacher, Rolf 1 Shaĭdurov, Vladimir Victorovich 1 Sloan, Ian Hugh 1 Tobiska, Lutz 1 Wang, Hailing 1 Wang, Yanming 1 Wu, Dongsheng 1 Wu, Hongyou 1 Xu, Da 1 Xu, Fei 1 Yie, Ruifeng 1 Zettl, Anton 1 Zhao, Guofu 1 Zhou, Guofu
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#### Serials

 26 Journal of Computational Mathematics 15 Systems Science and Mathematical Sciences 14 Mathematics in Practice and Theory 9 Journal of Systems Science and Mathematical Sciences 8 Journal of Computational and Applied Mathematics 7 Advances in Computational Mathematics 6 Applications of Mathematics 5 Mathematics of Computation 5 Mathematica Numerica Sinica 5 Acta Mathematicae Applicatae Sinica 5 Journal of Xiamen University. Natural Science 4 Acta Mathematica Sinica 4 Numerische Mathematik 4 Numerical Methods for Partial Differential Equations 4 Acta Mathematica Scientia 4 Journal of Mathematical Study 4 International Journal of Information & Systems Sciences 3 BIT 3 SIAM Journal on Numerical Analysis 3 Numerical Mathematics 3 Acta Mathematicae Applicatae Sinica. English Series 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 IMA Journal of Numerical Analysis 2 RAIRO. Analyse Numérique 2 Journal of Engineering Mathematics (Xi’an) 2 Mathematical and Computer Modelling 2 Journal of Systems Science and Complexity 2 International Journal of Numerical Analysis and Modeling 2 Scientia Sinica 2 Science China. Mathematics 1 Journal of the Australian Mathematical Society, Series B 1 Journal of the Franklin Institute 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Computation 1 Computing 1 Acta Scientiarum Naturalium Universitatis Amoiensis 1 Acta Scientiarum Naturalium Universitatis Sunyatseni 1 Chinese Annals of Mathematics. Series B 1 Computer Aided Geometric Design 1 Applied Numerical Mathematics 1 Computational Mechanics 1 Journal of Scientific Computing 1 CAD. Computer-Aided Design 1 Panamerican Mathematical Journal 1 International Journal of Computer Mathematics 1 Journal of Partial Differential Equations 1 Applied Mathematics 1 Communications in Numerical Methods in Engineering 1 Chinese Journal of Numerical Mathematics and Applications 1 Mathematical Problems in Engineering 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Acta Mathematica Sinica. English Series 1 Acta Analysis Functionalis Applicata. AAFA 1 Control Theory & Applications 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Science Record, New Series 1 Inverse Problems and Imaging 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Applied Mathematics and Mechanics 1 IAENG. International Journal of Applied Mathematics 1 East Asian Journal on Applied Mathematics
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#### Fields

 205 Numerical analysis (65-XX) 128 Partial differential equations (35-XX) 27 Integral equations (45-XX) 7 Operator theory (47-XX) 7 Mechanics of deformable solids (74-XX) 6 Optics, electromagnetic theory (78-XX) 5 Potential theory (31-XX) 5 Approximations and expansions (41-XX) 5 Fluid mechanics (76-XX) 4 Ordinary differential equations (34-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Computer science (68-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

128 Publications have been cited 969 times in 551 Documents Cited by Year
Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation. Zbl 1068.65122
Lin, Qun; Tobiska, Lutz; Zhou, Aihui
2005
Asymptotic error expansion and Richardson extrapolation for linear finite elements. Zbl 0594.65082
Blum, H.; Lin, Q.; Rannacher, R.
1986
A multi-level correction scheme for eigenvalue problems. Zbl 1307.65159
Lin, Qun; Xie, Hehu
2015
Lower bounds for eigenvalues of elliptic operators: by nonconforming finite element methods. Zbl 1335.65089
Hu, Jun; Huang, Yunqing; Lin, Qun
2014
Geometric meshes in collocation methods for Volterra integral equations with proportional delays. Zbl 1014.65143
Brunner, Hermann; Hu, Qiya; Lin, Qun
2001
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
2012
Extrapolation of the iterated-collocation method for integral equations of the second kind. Zbl 0724.65128
Lin, Q.; Sloan, I. H.; Xie, R.
1990
Approximation of an eigenvalue problem associated with the Stokes problem by the stream function-vorticity-pressure method. Zbl 1164.65489
Chen, Wei; Lin, Qun
2006
Linear finite elements with high accuracy. Zbl 0577.65094
Lin, Qun; Xu, Jinchao
1985
Superconvergence analysis for Maxwell’s equations in dispersive media. Zbl 1136.78015
Lin, Qun; Li, Jichun
2008
Global superconvergence for Maxwell’s equations. Zbl 0945.65118
Lin, Qun; Yan, Ningning
2000
Superconvergence analysis for time-dependent Maxwell’s equations in metamaterials. Zbl 1252.78030
Huang, Yunqing; Li, Jichun; Lin, Qun
2012
New expansions of numerical eigenvalues for $$-\delta u=\lambda \rho u$$ by nonconforming elements. Zbl 1198.65228
Lin, Qun; Huang, Hung-Tsai; Li, Zi-Cai
2008
Lower bounds of the discretization error for piecewise polynomials. Zbl 1280.65118
Lin, Qun; Xie, Hehu; Xu, Jinchao
2014
Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations. Zbl 1274.65296
Li, Qin; Lin, Qun; Xie, Hehu
2013
Extrapolation and superconvergence of the Steklov eigenvalue problem. Zbl 1213.65141
Li, Mingxia; Lin, Qun; Zhang, Shuhua
2010
Eigenvalue approximations from below using Morley elements. Zbl 1253.65181
Yang, Yidu; Lin, Qun; Bi, Hai; Li, Qin
2012
Fourth order eigenvalue approximation by extrapolation on domains with reentrant corners. Zbl 0695.65064
Lin, Qun
1991
Global superconvergence of the mixed finite element methods for 2-D Maxwell equations. Zbl 1032.65101
Lin, Jiafu; Lin, Qun
2003
An acceleration method for integral equations by using interpolation post-processing. Zbl 0920.65087
Lin, Qun; Zhang, Shuhua; Yan, Ningning
1998
Maximum norm estimate, extrapolation and optimal points of stresses for the finite element methods on the strongly regular triangulation. Zbl 0563.65070
Lin, Qun; Lü, Tao; Shen, Shumin
1983
Asymptotic expansions and Richardson extrapolation of approximate solutions for second order elliptic problems on rectangular domains by mixed finite element methods. Zbl 1388.76359
Fairweather, Graeme; Lin, Qun; Lin, Yanping; Wang, Junping; Zhang, Shuhua
2006
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
2009
Superconvergence in high-order Galerkin finite element methods. Zbl 1173.65370
Lin, Qun; Zhou, Junming
2007
High accuracy approximation of mixed finite element for 2-D Maxwell equations. Zbl 1051.65108
Lin, Qun; Lin, Jiafu
2003
An immediate analysis for global superconvergence for integrodifferential equations. Zbl 0902.65090
Lin, Q.; Zhang, S.
1997
A multilevel correction type of adaptive finite element method for Steklov eigenvalue problems. Zbl 1313.65298
Lin, Qun; Xie, Hehu
2012
Superconvergence of finite element method for the Signorini problem. Zbl 1148.74044
Li, Mingxia; Lin, Qun; Zhang, Shuhua
2008
Asymptotic error expansion and defect correction for Sobolev and viscoelasticity type equations. Zbl 0889.65098
Lin, Qun; Zhang, Shuhua; Yan, Ningning
1998
Superconvergence of mixed element methods for Maxwell’s equations. Zbl 1017.78528
Lin, Qun; Yan, Ningning
1996
Extrapolation of finite element approximation in a rectangular domain. Zbl 0691.65075
Chen, Chuanmiao; Lin, Qun
1989
Asymptotic expansion for the derivative of finite elements. Zbl 0563.65069
Lin, Qun; Zhu, Qiding
1984
The iterative correction method for Volterra integral equations. Zbl 0854.65121
Brunner, Hermann; Lin, Qun; Yan, Ningning
1996
An observation on Aubin-Nitsche lemma and its applications. Zbl 1265.65235
Lin, Qun; Xie, Hehu
2011
New expansions of numerical eigenvalues by Wilson’s element. Zbl 1165.65070
Lin, Qun; Huang, Hung-Tsai; Li, Zi-Cai
2009
High accuracy analysis of the Wilson element. Zbl 0939.65120
Luo, Ping; Lin, Qun
1999
Methods for bounding the range of a polynomial. Zbl 0833.65011
Lin, Qun; Rokne, J. G.
1995
Interpolated finite element methods for second order hyperbolic equations and their global superconvergence. Zbl 0792.65075
Lin, Qun; Wang, Hong; Lin, Tao
1993
Iterative corrections and a posteriori error estimate for integral equations. Zbl 0789.65040
Lin, Qun; Shi, Jun
1993
Extrapolation method for Fredholm integral equations with non-smooth kernels. Zbl 0424.65066
Lin, Qun; Liu, Juanquan
1980
Recent results on lower bounds of eigenvalue problems by nonconforming finite element methods. Zbl 1273.65178
Lin, Qun; Xie, Hehu
2013
The asymptotic lower bounds of eigenvalue problems by nonconforming finite element methods. Zbl 1289.65251
Lin, Qun; Xie, Hehu
2012
Optimal and superconvergence estimates of the finite element method for a scalar hyperbolic equation. Zbl 0805.65099
Zhou, Aihui; Lin, Qun
1994
Acceleration of the convergence in finite difference method by predictor- corrector and splitting extrapolation methods. Zbl 0626.65092
Neittaanmaki, Pekka; Lin, Qun
1987
Asymptotic expansions for finite element eigenvalues and finite element solution. Zbl 0549.65072
Lin, Qun; Lu, Tao
1984
The splitting extrapolation method for multidimensional problems. Zbl 0569.65017
Lin, Qun; Lü, Tao
1983
Some problems about the approximate solution for operator equations. Zbl 0397.65070
Lin, Qun
1979
Methods for improving approximate accuracy for hyperbolic integrodifferential equations. Zbl 0899.65081
Lin, Qun; Zhang, Shuhua; Yan, Ningning
1997
Extrapolation of Nyström solutions of boundary integral equations on non-smooth domains. Zbl 0762.65062
Graham, I. G.; Lin, Qun; Xie, Ruifeng
1992
Extrapolation of the Hood-Taylor elements for the Stokes problem. Zbl 1080.65112
Lin, Jia-fu; Lin, Qun
2005
A sparse finite element method with high accuracy. I. Zbl 0989.65134
Lin, Qun; Yan, Ningning; Zhou, Aihui
2001
High accuracy analysis for integrodifferential equations. Zbl 0943.65159
Lin, Qun; Zhang, Shuhua; Yan, Ningning
1998
Disk Bézier curves. Zbl 0905.68154
Lin, Qun; Rokne, J. G.
1998
A direct global superconvergence analysis for Sobolev and viscoelasticity type equations. Zbl 0902.65034
Lin, Q.; Zhang, S.
1997
Extrapolation and defect correction for diffusion equations with boundary integral conditions. Zbl 0907.65096
Lin, Qun; Zhang, Shuhua; Yan, Ningning
1997
Interval approximation of higher order to the ranges of functions. Zbl 0849.65004
Lin, Qun; Rokne, J. G.
1996
Interpolated finite elements and global error recovery. Zbl 0807.65111
Lin, Qun
1994
Superconvergence of FEM for singular solution. Zbl 0739.65089
Lin, Qun
1991
Error expansion for FEM and superconvergence under natural assumption. Zbl 0709.65076
Lin, Qun; Xie, Ruifeng
1989
Some expansions of the finite element approximation. Zbl 0553.65071
Lin, Qun; Wang, Junping
1984
Multilevel correction adaptive finite element method for semilinear elliptic equation. Zbl 1363.65200
Lin, Qun; Xie, Hehu; Xu, Fei
2015
A posterior error estimator and lower bound of a nonconforming finite element method. Zbl 1293.65158
Lin, Qun; Luo, Fusheng; Xie, Hehu
2014
Uniform error estimates for triangular finite element solutions of advection-diffusion equations. Zbl 1312.65148
Chen, Hongtao; Lin, Qun; Zhou, Junming; Wang, Hong
2013
New expansions of numerical eigenvalues by finite elements. Zbl 1147.65090
Huang, Hung-Tsai; Li, Zi-Cai; Lin, Qun
2008
Asymptotic expansion and extrapolation for the eigenvalue approximation of the biharmonic eigenvalue problem by Ciarlet-Raviart scheme. Zbl 1122.65106
Chen, Wei; Lin, Qun
2007
Superconvergence of the mixed finite element approximations for the viscoelasticity equation. Zbl 1114.74060
Lin, Jiafu; Lin, Qun
2006
Approximation by fat arcs and fat biarcs. Zbl 1206.65055
Lin, Qun; Rokne, J. G.
2002
Superconvergence of finite element method for the biharmonic equation. Zbl 1001.65116
Lin, Jiafu; Lin, Qun
2002
Superconvergences of the Adini’s element for second order equation. Zbl 0945.65117
Luo, Ping; Lin, Qun
1999
Global superconvergence in combinations of Ritz-Galerkin-FEM for singularity problems. Zbl 0933.65125
Li, Zi-Cai; Lin, Qun; Yan, Ning-Ning
1999
Variable-radius offset curves and surfaces. Zbl 0890.68127
Lin, Qun; Rokne, J. G.
1997
Notes on superconvergence and its related topics. Zbl 0790.65095
Lin, Qun; Zhou, Aihui
1993
A nodal superconvergence arising from combination of linear and bilinear elements. Zbl 0726.65122
Křížek, Michal; Lin, Qun; Huang, Yunqing
1988
A multilevel correction method for Stokes eigenvalue problems and its applications. Zbl 1382.65373
Lin, Qun; Luo, Fusheng; Xie, Hehu
2015
Error estimates for triangular and tetrahedral finite elements in combination with a trajectory approximation of the first derivatives for advection-diffusion equations. Zbl 1299.65218
Chen, Hongtao; Lin, Qun; Shajdurov, V. V.; Zhou, Junming
2011
Uniform optimal-order estimates for finite element methods for advection-diffusion equations. Zbl 1300.65069
Lin, Qun; Wang, Hong; Zhang, Shuhua
2009
Superclose and extrapolation of the tetrahedral linear finite elements for Poisson equation in three-dimensional rectangular field. Zbl 1212.65452
Lin, Qun; Zhou, Junming; Chen, Hongtao
2009
A supplement to superconvergence of bi-$$p$$ conjecture – weighted norm estimates for the discrete Green function. Zbl 1164.65484
Zhou, Junming; Lin, Qun
2007
Extrapolation of the bilinear element approximation for the Poisson equation on anisotropic meshes. Zbl 1139.65075
Lin, Qun; Lin, Jia-Fu
2007
Superconvergence on anisotropic meshes. Zbl 1122.65097
Lin, Qun; Lin, Jiafu
2007
Mixed finite elements of least-squares type for elasticity. Zbl 1091.74047
Duan, Huo-Yuan; Lin, Qun
2005
Accuracy analysis of the Adini element for biharmonic equation. Zbl 1065.65129
Luo, Ping; Lin, Qun
2004
A new proof of the inequalities among Sturm-Liouville eigenvalues. Zbl 0974.34024
Kong, Qingkai; Lin, Qun; Wu, Hongyou; Zettl, Anton
2000
Full convergence for hyperbolic finite elements. Zbl 0946.65073
Lin, Qun
2000
Fitting parametric disk curves. Zbl 0926.65019
Lin, Qun; Rokne, J. G.
1999
Fitting fat curves. Zbl 0907.65012
Lin, Qun; Rokne, J. G.
1998
Asymptotically exact a posteriori error and local superconvergence for the finite element method. Zbl 0850.65204
Zhu, Qiding; Lin, Qun
1993
Convergence of the discontinuous Galerkin method for a scalar hyperbolic equation. Zbl 0787.65071
Lin, Qun; Zhou, Aihui
1993
Global error expansion and superconvergence for higher order interpolation of finite elements. Zbl 0793.65082
Lin, Qun
1992
Defect correction for finite element gradient. Zbl 0767.65001
Lin, Qun; Zhou, Aihui
1992
Circular centered forms for rational functions in several complex variables. Zbl 0772.65036
Lin, Qun; Rokne, J. G.
1992
Asymptotic expansions and superconvergence of the FEM for parabolic equations. Zbl 0735.65067
Huang, Yunqing; Lin, Qun
1991
Some advances in the study of error expansion for finite elements. Zbl 0633.65103
Lin, Qun; Xie, Ruifeng
1986
The combination of approximate solutions for accelerating the convergence. Zbl 0544.65037
Lin, Qun; Lu, Tao
1984
Iterative refinement of finite element approximations for elliptic problems. Zbl 0481.65064
Lin, Qun
1982
On the treatment of high-frequency issues in numerical simulation for dynamic systems by model order reduction via the proper orthogonal decomposition. Zbl 1439.74407
Deokar, R.; Shimada, M.; Lin, C.; Tamma, K. K.
2017
A non-Krylov subspace method for solving large and sparse linear system of equations. Zbl 1374.65041
Peng, Wujian; Lin, Qun
2016
Extrapolation of the finite element method on general meshes. Zbl 1290.65115
Lin, Qun; Xie, Hehu
2013
Uniform $$L^1$$ error bounds for semi-discrete finite element solutions of evolutionary integral equations. Zbl 1313.65336
Lin, Qun; Xu, Da; Zhang, Shuhua
2012
A superconvergence result for mixed finite element approximations of the eigenvalue problem. Zbl 1277.65091
Lin, Qun; Xie, Hehu
2012
On the treatment of high-frequency issues in numerical simulation for dynamic systems by model order reduction via the proper orthogonal decomposition. Zbl 1439.74407
Deokar, R.; Shimada, M.; Lin, C.; Tamma, K. K.
2017
A non-Krylov subspace method for solving large and sparse linear system of equations. Zbl 1374.65041
Peng, Wujian; Lin, Qun
2016
A multi-level correction scheme for eigenvalue problems. Zbl 1307.65159
Lin, Qun; Xie, Hehu
2015
Multilevel correction adaptive finite element method for semilinear elliptic equation. Zbl 1363.65200
Lin, Qun; Xie, Hehu; Xu, Fei
2015
A multilevel correction method for Stokes eigenvalue problems and its applications. Zbl 1382.65373
Lin, Qun; Luo, Fusheng; Xie, Hehu
2015
Lower bounds for eigenvalues of elliptic operators: by nonconforming finite element methods. Zbl 1335.65089
Hu, Jun; Huang, Yunqing; Lin, Qun
2014
Lower bounds of the discretization error for piecewise polynomials. Zbl 1280.65118
Lin, Qun; Xie, Hehu; Xu, Jinchao
2014
A posterior error estimator and lower bound of a nonconforming finite element method. Zbl 1293.65158
Lin, Qun; Luo, Fusheng; Xie, Hehu
2014
Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations. Zbl 1274.65296
Li, Qin; Lin, Qun; Xie, Hehu
2013
Recent results on lower bounds of eigenvalue problems by nonconforming finite element methods. Zbl 1273.65178
Lin, Qun; Xie, Hehu
2013
Uniform error estimates for triangular finite element solutions of advection-diffusion equations. Zbl 1312.65148
Chen, Hongtao; Lin, Qun; Zhou, Junming; Wang, Hong
2013
Extrapolation of the finite element method on general meshes. Zbl 1290.65115
Lin, Qun; Xie, Hehu
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
2012
Superconvergence analysis for time-dependent Maxwell’s equations in metamaterials. Zbl 1252.78030
Huang, Yunqing; Li, Jichun; Lin, Qun
2012
Eigenvalue approximations from below using Morley elements. Zbl 1253.65181
Yang, Yidu; Lin, Qun; Bi, Hai; Li, Qin
2012
A multilevel correction type of adaptive finite element method for Steklov eigenvalue problems. Zbl 1313.65298
Lin, Qun; Xie, Hehu
2012
The asymptotic lower bounds of eigenvalue problems by nonconforming finite element methods. Zbl 1289.65251
Lin, Qun; Xie, Hehu
2012
Uniform $$L^1$$ error bounds for semi-discrete finite element solutions of evolutionary integral equations. Zbl 1313.65336
Lin, Qun; Xu, Da; Zhang, Shuhua
2012
A superconvergence result for mixed finite element approximations of the eigenvalue problem. Zbl 1277.65091
Lin, Qun; Xie, Hehu
2012
An observation on Aubin-Nitsche lemma and its applications. Zbl 1265.65235
Lin, Qun; Xie, Hehu
2011
Error estimates for triangular and tetrahedral finite elements in combination with a trajectory approximation of the first derivatives for advection-diffusion equations. Zbl 1299.65218
Chen, Hongtao; Lin, Qun; Shajdurov, V. V.; Zhou, Junming
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
2011
A uniform estimate for the characteristics bilinear element method for advection-diffusion equations. Zbl 1265.65178
Chen, Hongtao; Lin, Qun; Luo, Fusheng
2011
Extrapolation and superconvergence of the Steklov eigenvalue problem. Zbl 1213.65141
Li, Mingxia; Lin, Qun; Zhang, Shuhua
2010
Blending implicit interval curves and surfaces. Zbl 1181.65023
Lin, Qun; Rokne, J. G.
2010
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
2009
New expansions of numerical eigenvalues by Wilson’s element. Zbl 1165.65070
Lin, Qun; Huang, Hung-Tsai; Li, Zi-Cai
2009
Uniform optimal-order estimates for finite element methods for advection-diffusion equations. Zbl 1300.65069
Lin, Qun; Wang, Hong; Zhang, Shuhua
2009
Superclose and extrapolation of the tetrahedral linear finite elements for Poisson equation in three-dimensional rectangular field. Zbl 1212.65452
Lin, Qun; Zhou, Junming; Chen, Hongtao
2009
Superconvergence estimates of finite element methods for American options. Zbl 1212.65252
Lin, Qun; Liu, Tang; Zhang, Shuhua
2009
Interval inclusion computation for the solutions of the Burgers equation. Zbl 1253.65143
Lin, Qun; Ying, Lung-An
2009
Superconvergence analysis for Maxwell’s equations in dispersive media. Zbl 1136.78015
Lin, Qun; Li, Jichun
2008
New expansions of numerical eigenvalues for $$-\delta u=\lambda \rho u$$ by nonconforming elements. Zbl 1198.65228
Lin, Qun; Huang, Hung-Tsai; Li, Zi-Cai
2008
Superconvergence of finite element method for the Signorini problem. Zbl 1148.74044
Li, Mingxia; Lin, Qun; Zhang, Shuhua
2008
New expansions of numerical eigenvalues by finite elements. Zbl 1147.65090
Huang, Hung-Tsai; Li, Zi-Cai; Lin, Qun
2008
Superconvergence in high-order Galerkin finite element methods. Zbl 1173.65370
Lin, Qun; Zhou, Junming
2007
Asymptotic expansion and extrapolation for the eigenvalue approximation of the biharmonic eigenvalue problem by Ciarlet-Raviart scheme. Zbl 1122.65106
Chen, Wei; Lin, Qun
2007
A supplement to superconvergence of bi-$$p$$ conjecture – weighted norm estimates for the discrete Green function. Zbl 1164.65484
Zhou, Junming; Lin, Qun
2007
Extrapolation of the bilinear element approximation for the Poisson equation on anisotropic meshes. Zbl 1139.65075
Lin, Qun; Lin, Jia-Fu
2007
Superconvergence on anisotropic meshes. Zbl 1122.65097
Lin, Qun; Lin, Jiafu
2007
Approximation of an eigenvalue problem associated with the Stokes problem by the stream function-vorticity-pressure method. Zbl 1164.65489
Chen, Wei; Lin, Qun
2006
Asymptotic expansions and Richardson extrapolation of approximate solutions for second order elliptic problems on rectangular domains by mixed finite element methods. Zbl 1388.76359
Fairweather, Graeme; Lin, Qun; Lin, Yanping; Wang, Junping; Zhang, Shuhua
2006
Superconvergence of the mixed finite element approximations for the viscoelasticity equation. Zbl 1114.74060
Lin, Jiafu; Lin, Qun
2006
Construction and analysis of meshless finite difference methods. Zbl 1099.65070
Lin, Q.; Rokne, J. G.
2006
Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation. Zbl 1068.65122
Lin, Qun; Tobiska, Lutz; Zhou, Aihui
2005
Extrapolation of the Hood-Taylor elements for the Stokes problem. Zbl 1080.65112
Lin, Jia-fu; Lin, Qun
2005
Mixed finite elements of least-squares type for elasticity. Zbl 1091.74047
Duan, Huo-Yuan; Lin, Qun
2005
Accuracy analysis of the Adini element for biharmonic equation. Zbl 1065.65129
Luo, Ping; Lin, Qun
2004
Global superconvergence of the mixed finite element methods for 2-D Maxwell equations. Zbl 1032.65101
Lin, Jiafu; Lin, Qun
2003
High accuracy approximation of mixed finite element for 2-D Maxwell equations. Zbl 1051.65108
Lin, Qun; Lin, Jiafu
2003
Approximation by fat arcs and fat biarcs. Zbl 1206.65055
Lin, Qun; Rokne, J. G.
2002
Superconvergence of finite element method for the biharmonic equation. Zbl 1001.65116
Lin, Jiafu; Lin, Qun
2002
High accuracy analysis of the Adini’s nonconforming element. Zbl 1003.65129
Luo, P.; Lin, Q.
2002
Geometric meshes in collocation methods for Volterra integral equations with proportional delays. Zbl 1014.65143
Brunner, Hermann; Hu, Qiya; Lin, Qun
2001
A sparse finite element method with high accuracy. I. Zbl 0989.65134
Lin, Qun; Yan, Ningning; Zhou, Aihui
2001
A superconvergence analysis for finite element solution by the interpolant postprocessing on irregular meshes for smooth problem. Zbl 0983.65118
Zhu, Qiding; Lin, Qun
2001
Global superconvergence for Maxwell’s equations. Zbl 0945.65118
Lin, Qun; Yan, Ningning
2000
A new proof of the inequalities among Sturm-Liouville eigenvalues. Zbl 0974.34024
Kong, Qingkai; Lin, Qun; Wu, Hongyou; Zettl, Anton
2000
Full convergence for hyperbolic finite elements. Zbl 0946.65073
Lin, Qun
2000
High accuracy analysis of the Wilson element. Zbl 0939.65120
Luo, Ping; Lin, Qun
1999
Superconvergences of the Adini’s element for second order equation. Zbl 0945.65117
Luo, Ping; Lin, Qun
1999
Global superconvergence in combinations of Ritz-Galerkin-FEM for singularity problems. Zbl 0933.65125
Li, Zi-Cai; Lin, Qun; Yan, Ning-Ning
1999
Fitting parametric disk curves. Zbl 0926.65019
Lin, Qun; Rokne, J. G.
1999
Superconvergence in high-order Galerkin finite element methods. Zbl 0958.65109
Lin, Qun; Zhou, Junming; Yan, Ningning
1999
An acceleration method for integral equations by using interpolation post-processing. Zbl 0920.65087
Lin, Qun; Zhang, Shuhua; Yan, Ningning
1998
Asymptotic error expansion and defect correction for Sobolev and viscoelasticity type equations. Zbl 0889.65098
Lin, Qun; Zhang, Shuhua; Yan, Ningning
1998
High accuracy analysis for integrodifferential equations. Zbl 0943.65159
Lin, Qun; Zhang, Shuhua; Yan, Ningning
1998
Disk Bézier curves. Zbl 0905.68154
Lin, Qun; Rokne, J. G.
1998
Fitting fat curves. Zbl 0907.65012
Lin, Qun; Rokne, J. G.
1998
Inclusion isotonicity for circular centered forms in several complex variables. Zbl 0992.65045
Lin, Qun; Rokne, J. G.
1998
An immediate analysis for global superconvergence for integrodifferential equations. Zbl 0902.65090
Lin, Q.; Zhang, S.
1997
Methods for improving approximate accuracy for hyperbolic integrodifferential equations. Zbl 0899.65081
Lin, Qun; Zhang, Shuhua; Yan, Ningning
1997
A direct global superconvergence analysis for Sobolev and viscoelasticity type equations. Zbl 0902.65034
Lin, Q.; Zhang, S.
1997
Extrapolation and defect correction for diffusion equations with boundary integral conditions. Zbl 0907.65096
Lin, Qun; Zhang, Shuhua; Yan, Ningning
1997
Variable-radius offset curves and surfaces. Zbl 0890.68127
Lin, Qun; Rokne, J. G.
1997
Superconvergence of mixed element methods for Maxwell’s equations. Zbl 1017.78528
Lin, Qun; Yan, Ningning
1996
The iterative correction method for Volterra integral equations. Zbl 0854.65121
Brunner, Hermann; Lin, Qun; Yan, Ningning
1996
Interval approximation of higher order to the ranges of functions. Zbl 0849.65004
Lin, Qun; Rokne, J. G.
1996
Subconvergence of finite elements and a self-adaptive algorithm. Zbl 0861.65090
Zhu, Q. D.; Lin, Q.
1996
High accuracy for mixed finite element methods in Raviart-Thomas element. Zbl 0846.65062
Lin, Q.; Pan, J. H.
1996
Methods for bounding the range of a polynomial. Zbl 0833.65011
Lin, Qun; Rokne, J. G.
1995
High accuracy analysis for a nonconforming membrane element. Zbl 0925.73257
Lin, Qun; Luo, Ping
1995
Parallel computation and domain decomposition for a class of hyperbolic problems. Zbl 0842.65070
Lin, Qun; Yan, Ningning; Zhou, Aihui
1995
Optimal and superconvergence estimates of the finite element method for a scalar hyperbolic equation. Zbl 0805.65099
Zhou, Aihui; Lin, Qun
1994
Interpolated finite elements and global error recovery. Zbl 0807.65111
Lin, Qun
1994
Some estimates of Green function and its finite element approximation on polygonal domains. Zbl 0834.65102
Huang, Yun-Qing; Lin, Qun
1994
Interpolated finite element methods for second order hyperbolic equations and their global superconvergence. Zbl 0792.65075
Lin, Qun; Wang, Hong; Lin, Tao
1993
Iterative corrections and a posteriori error estimate for integral equations. Zbl 0789.65040
Lin, Qun; Shi, Jun
1993
Notes on superconvergence and its related topics. Zbl 0790.65095
Lin, Qun; Zhou, Aihui
1993
Asymptotically exact a posteriori error and local superconvergence for the finite element method. Zbl 0850.65204
Zhu, Qiding; Lin, Qun
1993
Convergence of the discontinuous Galerkin method for a scalar hyperbolic equation. Zbl 0787.65071
Lin, Qun; Zhou, Aihui
1993
Extrapolation of Nyström solutions of boundary integral equations on non-smooth domains. Zbl 0762.65062
Graham, I. G.; Lin, Qun; Xie, Ruifeng
1992
Global error expansion and superconvergence for higher order interpolation of finite elements. Zbl 0793.65082
Lin, Qun
1992
Defect correction for finite element gradient. Zbl 0767.65001
Lin, Qun; Zhou, Aihui
1992
Circular centered forms for rational functions in several complex variables. Zbl 0772.65036
Lin, Qun; Rokne, J. G.
1992
The finite element interpolated correction method for second order elliptic eigenvalue problems. Zbl 0850.65206
Lin, Qun; Yang, Yidu
1992
Elliptic boundary value problems on polygonal domains and finite element approximations. Zbl 0794.35038
Huang, Yunqing; Lin, Qun
1992
Fourth order eigenvalue approximation by extrapolation on domains with reentrant corners. Zbl 0695.65064
Lin, Qun
1991
Superconvergence of FEM for singular solution. Zbl 0739.65089
Lin, Qun
1991
Asymptotic expansions and superconvergence of the FEM for parabolic equations. Zbl 0735.65067
Huang, Yunqing; Lin, Qun
1991
...and 28 more Documents
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#### Cited by 627 Authors

 59 Shi, Dongyang 42 Lin, Qun 35 Xie, Hehu 27 Yang, Yidu 25 Huang, Yunqing 23 Bi, Hai 18 Li, Jichun 17 Li, Zi-Cai 17 Zhang, Zhimin 16 Hu, Jun 14 Zhang, Shuhua 13 He, Wenming 13 Yan, Ningning 12 Huang, Qiumei 12 Jia, Shanghui 12 Křížek, Michal 12 Xu, Fei 10 Guan, Hongbo 9 Lu, Tao 9 Zhao, Yanmin 8 Huang, Hung-Tsai 8 Zhou, Aihui 7 Brunner, Hermann 7 Chen, Yanping 7 Han, Guoqiang 7 Mao, Shipeng 7 Rokne, Jon G. 7 Shi, Zhongci 7 Wang, Fenling 7 Zhang, Yu 6 Gong, Wei 6 He, Xiaoming 6 Hu, Hongling 6 Korotov, Sergey 6 Li, Mingxia 6 Pan, Kejia 6 Yao, Changhui 6 Zhang, Shuo 5 Chen, Hongtao 5 Guan, Xiaofei 5 Kulkarni, Rekha P. 5 Li, Hao 5 Lin, Yanping 5 Nelakanti, Gnaneshwar 5 Pei, Lifang 5 Wu, Chao 5 Yang, Wei 5 Yi, Nianyu 5 Zhu, Qiding 4 Brandts, Jan H. 4 Chen, Chuanmiao 4 Cui, Junzhi 4 Feng, Xinlong 4 Guessab, Allal 4 Han, Jiayu 4 Huang, Jin 4 Huang, Pengzhan 4 Liao, Xin 4 Lin, Tao 4 Neittaanmäki, Pekka J. 4 Rane, Akshay S. 4 Ren, Jincheng 4 Sbibih, Driss 4 Tang, Yifa 4 Wang, Junjun 4 Xie, ManTing 4 Xu, Chao 4 Yang, Xueqin 3 Achchab, Boujemaa 3 Allouch, Chafik 3 An, Jing 3 Cancès, Eric 3 Chachuat, Benoît 3 Chen, Shaochun 3 Dusson, Geneviève 3 He, Dongdong 3 He, Yinnian 3 Hlaváček, Ivan 3 Houska, Boris 3 Huang, Chengming 3 Ishiwata, Emiko 3 Ji, Xia 3 Li, Qin 3 Lin, Runchang 3 Liu, Huipo 3 Liu, Xuefeng 3 Luo, Fusheng 3 Ma, Hongkun 3 Ma, Rui 3 Maday, Yvon 3 Mandal, Moumita 3 Ming, Wanyuan 3 Muroya, Yoshiaki 3 Rannacher, Rolf 3 Shen, Quan 3 Stamm, Benjamin 3 Tahrichi, Mohamed 3 Vohralík, Martin 3 Wang, Lele 3 Wang, Peizhen ...and 527 more Authors
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#### Cited in 87 Serials

 46 Applied Mathematics and Computation 43 Journal of Computational and Applied Mathematics 40 Journal of Scientific Computing 33 Computers & Mathematics with Applications 25 Applied Numerical Mathematics 24 Mathematics of Computation 23 Applications of Mathematics 19 Computer Methods in Applied Mechanics and Engineering 19 Numerical Methods for Partial Differential Equations 19 Advances in Computational Mathematics 19 Science China. Mathematics 17 Numerische Mathematik 12 Acta Mathematicae Applicatae Sinica. English Series 11 Journal of Computational Physics 11 Mathematical Problems in Engineering 10 Journal of Integral Equations and Applications 9 Numerical Algorithms 9 SIAM Journal on Scientific Computing 8 BIT 8 SIAM Journal on Numerical Analysis 8 International Journal of Computer Mathematics 7 Numerical Functional Analysis and Optimization 6 Journal of Mathematical Analysis and Applications 6 Mathematical Methods in the Applied Sciences 6 Applied Mathematics and Mechanics. (English Edition) 5 Journal of Systems Science and Complexity 5 Journal of Applied Mathematics 5 Journal of Applied Mathematics and Computing 4 Applied Mathematics Letters 4 Science in China. Series A 4 Communications in Numerical Methods in Engineering 3 Calcolo 3 RAIRO. Analyse Numérique 3 Computer Aided Geometric Design 3 Journal of Global Optimization 3 Computational and Applied Mathematics 3 Engineering Analysis with Boundary Elements 3 Journal of Inequalities and Applications 3 Communications in Nonlinear Science and Numerical Simulation 3 Discrete and Continuous Dynamical Systems. Series B 3 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Mathematical and Computer Modelling 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Applied Mathematical Modelling 2 Abstract and Applied Analysis 2 Multiscale Modeling & Simulation 2 Advances in Difference Equations 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Computers and Fluids 1 Journal of the Franklin Institute 1 Aplikace Matematiky 1 International Journal for Numerical Methods in Engineering 1 Optimal Control Applications & Methods 1 Circuits, Systems, and Signal Processing 1 Acta Applicandae Mathematicae 1 Computers & Operations Research 1 Computational Mechanics 1 Japan Journal of Industrial and Applied Mathematics 1 International Journal of Computational Geometry & Applications 1 Numerical Linear Algebra with Applications 1 Discrete and Continuous Dynamical Systems 1 Science in China. Series E 1 International Journal of Shape Modeling 1 Taiwanese Journal of Mathematics 1 Journal of Applied Mathematics and Decision Sciences 1 Mathematical Inequalities & Applications 1 Acta Mathematica Sinica. English Series 1 Computational Methods in Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Numerical Mathematics 1 Central European Journal of Mathematics 1 Frontiers of Mathematics in China 1 Advances in Mathematical Physics 1 Afrika Matematika 1 S$$\vec{\text{e}}$$MA Journal 1 ISRN Computational Mathematics 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Journal of Mathematics 1 East Asian Journal on Applied Mathematics 1 European Journal of Mathematics 1 International Journal of Applied and Computational Mathematics 1 Open Mathematics 1 Korean Journal of Mathematics 1 Cogent Mathematics & Statistics 1 Electronic Research Archive
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#### Cited in 35 Fields

 516 Numerical analysis (65-XX) 253 Partial differential equations (35-XX) 76 Integral equations (45-XX) 38 Optics, electromagnetic theory (78-XX) 37 Mechanics of deformable solids (74-XX) 36 Fluid mechanics (76-XX) 19 Ordinary differential equations (34-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 7 Potential theory (31-XX) 7 Systems theory; control (93-XX) 6 Approximations and expansions (41-XX) 5 Operator theory (47-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Quantum theory (81-XX) 4 Operations research, mathematical programming (90-XX) 3 Convex and discrete geometry (52-XX) 3 Computer science (68-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)