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Author ID: han.houde Recent zbMATH articles by "Han, Houde"
Published as: Han, Houde; Han, H.; Han, Hou-de
External Links: MGP · Google Scholar · dblp
Documents Indexed: 139 Publications since 1979, including 1 Book
Biographic References: 1 Publication
Co-Authors: 55 Co-Authors with 115 Joint Publications
1,811 Co-Co-Authors
all top 5

Serials

23 Journal of Computational Mathematics
8 Computer Methods in Applied Mechanics and Engineering
7 Journal of Computational Physics
7 Numerische Mathematik
7 Communications in Computational Physics
6 Mathematics of Computation
5 Computers & Mathematics with Applications
5 SIAM Journal on Numerical Analysis
5 Journal of Scientific Computing
5 Numerical Mathematics
5 Communications in Mathematical Sciences
4 Numerical Methods for Partial Differential Equations
3 Tsinghua Science and Technology
2 International Journal for Numerical Methods in Fluids
2 Applied Mathematics and Computation
2 Journal of Computational and Applied Mathematics
2 Mathematica Numerica Sinica
2 Applied Numerical Mathematics
2 Computational Methods in Applied Mathematics
1 IMA Journal of Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 International Journal for Numerical Methods in Engineering
1 Numerical Functional Analysis and Optimization
1 RAIRO. Analyse Numérique
1 Numerical Mathematics
1 Acta Mathematicae Applicatae Sinica
1 Chinese Annals of Mathematics. Series A
1 Journal of Systems Science and Mathematical Sciences
1 Journal of Integral Equations and Applications
1 SIAM Journal on Mathematical Analysis
1 Scientia Sinica. Series A
1 Applied Mathematics
1 SIAM Journal on Scientific Computing
1 Applied Mathematics. Series A (Chinese Edition)
1 Journal of Inverse and Ill-Posed Problems
1 Inverse Problems in Science and Engineering
1 Networks and Heterogeneous Media
1 Advances in Applied Mathematics and Mechanics
1 Science China. Mathematics
1 Scientia Sinica. Mathematica

Publications by Year

Citations contained in zbMATH Open

117 Publications have been cited 1,270 times in 819 Documents Cited by Year
Differentiability properties of solutions of the equation \(-\epsilon ^ 2\Delta u+ru=f(x,y)\) in a square. Zbl 0732.35020
Han, H.; Kellogg, R. B.
85
1990
Approximation of infinite boundary condition and its application to finite element methods. Zbl 0579.65111
Han, Houde; Wu, Xiaonan
57
1985
A priori estimates and analysis of a numerical method for a turning point problem. Zbl 0542.34050
Berger, Alan E.; Han, Houde; Kellogg, R. Bruce
44
1984
A fast numerical method for the Black-Scholes equation of American options. Zbl 1130.91336
Han, Houde; Wu, Xiaonan
44
2003
A new class of variational formulations for the coupling of finite and boundary element methods. Zbl 0712.65093
Han, Houde
39
1990
Nonconforming elements in the mixed finite element method. Zbl 0573.65083
Han, Houde
39
1984
A new mixed finite element formulation and the MAC method for the Stokes equations. Zbl 0918.76036
Han, Houde; Wu, Xiaonan
38
1998
Stability and regularization of a discrete approximation to the Cauchy problem for Laplace’s equation. Zbl 0928.35184
Reinhardt, Hans-Jürgen; Han, Houde; Hào, Dinh Nho
36
1998
The boundary element method for the solution of the backward heat conduction equation. Zbl 0821.65064
Han, H.; Ingham, D. B.; Yuan, Y.
35
1995
A tailored finite point method for a singular perturbation problem on an unbounded domain. Zbl 1203.65221
Han, Houde; Huang, Zhongyi; Kellogg, R. Bruce
34
2008
A class of artificial boundary conditions for heat equation in unbounded domains. Zbl 0999.65086
Han, Houde; Huang, Zhongyi
32
2002
Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain. Zbl 1349.65272
Brunner, Hermann; Han, Houde; Yin, Dongsheng
27
2014
The approximation of the exact boundary conditions at an artificial boundary for linear elastic equations and its application. Zbl 0754.35008
Han, Houde; Wu, Xiaonan
26
1992
A direct boundary element method for Signorini problems. Zbl 0705.65084
Han, Houde
24
1990
Exact and approximating boundary conditions for the parabolic problems on unbounded domains. Zbl 1030.35092
Han, Houde; Huang, Zhongyi
23
2002
A finite-difference method for the one-dimensional time-dependent Schrödinger equation on unbounded domain. Zbl 1092.65071
Han, Houde; Jin, Jicheng; Wu, Xiaonan
20
2005
Artificial boundary method. Zbl 1277.65105
Han, Houde; Wu, Xiaonan
20
2013
A finite-element method for Laplace- and Helmholtz-type boundary value problems with singularities. Zbl 0873.65100
Wu, Xiaonan; Han, Houde
19
1997
Error estimates for the finite element approximation of problems in unbounded domains. Zbl 1001.65118
Han, Houde; Bao, Weizhu
18
2000
Regularization methods for ill-conditioned system of the integral equation of the first kind with the logarithmic kernel. Zbl 1321.65194
Chen, Jeng-Tzong; Han, Houde; Kuo, Shyh-Rong; Kao, Shing-Kai
17
2014
Numerical solution to a linearized KdV equation on unbounded domain. Zbl 1140.65070
Zheng, Chunxiong; Wen, Xin; Han, Houde
17
2008
Tailored finite point method based on exponential bases for convection-diffusion-reaction equation. Zbl 1262.65169
Han, Houde; Huang, Zhongyi
16
2013
Tailored finite point method for a singular perturbation problem with variable coefficients in two dimensions. Zbl 1203.65225
Han, Houde; Huang, Zhongyi
16
2009
Tailored finite point method for steady-state reaction-diffusion equations. Zbl 1207.65138
Han, Houde; Huang, Zhongyi
16
2010
The boundary integro-differential equations of three-dimensional Neumann problem in linear elasticity. Zbl 0806.73008
Han, Houde
16
1994
Exact artifical boundary conditions for the Schrödinger equation in \(\mathbb R ^2\). Zbl 1089.35524
Han, Houde; Huang, Zhongyi
15
2004
The maximum principle for time-fractional diffusion equations and its application. Zbl 1333.65093
Brunner, Hermann; Han, Houde; Yin, Dongsheng
15
2015
Split local absorbing conditions for one-dimensional nonlinear Klein-Gordon equation on unbounded domain. Zbl 1152.65092
Han, Houde; Zhang, Zhiwen
15
2008
The numerical solutions of interface problems by infinite element method. Zbl 0478.73051
Han, Houde
15
1982
A discrete artificial boundary condition for steady incompressible viscous flows in a no-slip channel using a fast iterative method. Zbl 0810.76052
Han, Houde; Lu, Jinfu; Bao, Weizhu
15
1994
An artificial boundary condition for two-dimensional incompressible viscous flows using the method of lines. Zbl 0865.76062
Han, Houde; Bao, Weizhu
14
1996
Adaptive absorbing boundary conditions for Schrödinger-type equations: Application to nonlinear and multi-dimensional problems. Zbl 1343.65114
Xu, Zhenli; Han, Houde; Wu, Xiaonan
14
2007
A tailored finite point method for the Helmholtz equation with high wave numbers in heterogeneous medium. Zbl 1174.65048
Han, Houde; Huang, Zhongyi
14
2008
Artificial boundary methods for Burgers’ equation using nonlinear boundary conditions. Zbl 1096.65085
Han, Houde; Wu, Xiao-nan; Xu, Zhenli
13
2006
Boundary element approximation of Steklov eigenvalue problem for Helmholtz equation. Zbl 0977.65100
Tang, Weijun; Guan, Zhi; Han, Houde
12
1998
Numerical method for the deterministic Kardar-Parisi-Zhang equation in unbounded domains. Zbl 1120.65097
Xu, Z.; Han, H.; Wu, X.
12
2006
An artificial boundary condition for the incompressible viscous flows in a no-slip channel. Zbl 0818.76067
Han, Houde; Bao, Weizhu
12
1995
Exact nonreflecting boundary conditions for an acoustic problem in three dimensions. Zbl 1027.76048
Han, Houde; Zheng, Chunxiong
11
2003
Numerical solution of a two-dimensional nonlocal wave equation on unbounded domains. Zbl 1392.82036
Du, Qiang; Han, Houde; Zhang, Jiwei; Zheng, Chunxiong
11
2018
Numerical simulation for the problem of infinite elastic foundation. Zbl 0896.73058
Han, Houde; Bao, Weizhu; Wang, Tao
10
1997
Numerical blow-up of semilinear parabolic PDEs on unbounded domains in \(\mathbb R^{2}\). Zbl 1244.65128
Zhang, Jiwei; Han, Houde; Brunner, Hermann
10
2011
Numerical simulation of waves in periodic structures. Zbl 1364.78014
Ehrhardt, Matthias; Han, Houde; Zheng, Chunxiong
10
2009
The tailored finite point method. Zbl 1297.65154
Han, Houde; Huang, Zhongyi
9
2014
A finite element approximation of Navier-Stokes equations using nonconforming elements. Zbl 0598.76029
Han, Houde
9
1984
The numerical solution of parabolic Volterra integro-differential equations on unbounded spatial domains. Zbl 1078.65126
Han, Houde; Zhu, Liang; Brunner, Hermann; Ma, Jingtang
9
2005
An energy regularization for Cauchy problems of Laplace equation in annulus domain. Zbl 1364.65229
Han, Houde; Ling, Leevan; Takeuchi, Tomoya
9
2011
The artificial boundary method – numerical solutions of partial differential equations on unbounded domains. Zbl 1097.65115
Han, Houde
9
2005
The discrete artificial boundary condition on a polygonal artificial boundary for the exterior problem of Poisson equation by using the direct method of lines. Zbl 0949.65127
Han, Houde; Bao, Weizhu
8
1999
High-order local artificial boundary conditions for problems in unbounded domains. Zbl 0957.65096
Bao, Weizhu; Han, Houde
8
2000
A non-overlap domain decomposition method for the forward–backward heat equation. Zbl 1032.65107
Han, Houde; Yin, Dongsheng
8
2003
Absorbing boundary conditions for the multidimensional Klein-Gordon equation. Zbl 1143.35306
Han, Houde; Yin, Dongsheng
8
2007
Numerical solitons of generalized Korteweg-de Vries equations. Zbl 1114.65121
Han, Houde; Xu, Zhenli
8
2007
A uniformly second order numerical method for the one-dimensional discrete-ordinate transport equation and its diffusion limit with interface. Zbl 1191.65181
Jin, Shi; Tang, Min; Han, Houde
8
2009
An economical finite element scheme for Navier-Stokes equations. Zbl 0627.76031
Han, Houde
7
1987
The direct method of lines for the numerical solutions of interface problem. Zbl 0946.65124
Han, Houde; Huang, Zhongyi
7
1999
Some stability estimates for Cauchy problems for elliptic equations. Zbl 0895.35105
Han, H.; Reinhardt, H.-J.
7
1997
An analysis of the finite-difference method for one-dimensional Klein-Gordon equation on unbounded domain. Zbl 1162.65377
Han, Houde; Zhang, Zhiwen
7
2009
Artificial boundary conditions for parabolic Volterra integro-differential equations on unbounded two-dimensional domains. Zbl 1104.65125
Han, Houde; Zhu, Liang; Brunner, Hermann; Ma, Jingtang
7
2006
Numerical solutions of Schrödinger equations in \(\mathbb {R}^{3}\). Zbl 1122.65088
Han, Houde; Yin, Dongsheng; Huang, Zhongyi
6
2007
A semi-discrete tailored finite point method for a class of anisotropic diffusion problems. Zbl 1416.65449
Han, Houde; Huang, Zhongyi; Ying, Wenjun
6
2013
Exact artificial boundary conditions for quasilinear elliptic equations in unbounded domains. Zbl 1168.65412
Han, Houde; Huang, Zhongyi; Yin, Dongsheng
6
2008
Error estimates for the finite element approximation of linear elastic equations in an unbounded domain. Zbl 0997.74060
Han, Houde; Bao, Weizhu
6
2001
Nonlocal artificial boundary conditions for the incompressible viscous flow in a channel using spectral techniques. Zbl 0853.76054
Bao, Weizhu; Han, Houde
6
1996
An iterative method in the infinite element. Zbl 0451.65082
Han, Hou-de; Ying, Long-an
6
1979
Numerical solutions of parabolic problems on unbounded 3D spatial domain. Zbl 1102.65091
Han, Houde; Yin, Dongsheng
6
2005
Semi-implicit operator splitting Padé method for higher-order nonlinear Schrödinger equations. Zbl 1102.65093
Xu, Zhenli; He, Jingsong; Han, Houde
6
2006
Two uniform tailored finite point schemes for the two dimensional discrete ordinates transport equations with boundary and interface layers. Zbl 1373.82076
Han, Houde; Tang, Min; Ying, Wenjun
6
2014
The artificial boundary conditions for incompressible materials in an unbounded domain. Zbl 0892.73062
Han, H.; Bao, W.
5
1997
A mixed finite element method on a staggered mesh for Navier-Stokes equations. Zbl 1174.35094
Han, Houde; Yan, Ming
5
2008
Analysis of flow directed iterations. Zbl 0743.76075
Han, Houde; Il’in, V. P.; Kellogg, R. B.; Wei, Yuan
5
1992
Boundary integro-differential equations of elliptic boundary value problems and their numerical solutions. Zbl 0681.65080
Han, Houde
4
1988
The mixed finite element method for Stokes equations on unbounded domains. Zbl 0614.76029
Han, Houde; Wu, Xiaonan
4
1985
A finite element method for a boundary value problem of mixed type. Zbl 0574.65128
Aziz, A. K.; Han, Houde; Schneider, Manfred Friedrich
4
1984
The direct method of lines for the problem of infinite elastic foundation. Zbl 0947.74076
Bao, Weizhu; Han, Houde
4
1999
Analysis of artificial boundary conditions for exterior boundary value problems in three dimensions. Zbl 0958.65115
Han, Houde; He, Changhong; Wu, Xiaonan
4
2000
Discrete boundary conditions for problems with interface. Zbl 0991.65120
Wu, Xiaonan; Han, Houde
4
2001
A survey on artificial boundary method. Zbl 1304.35490
Han, Houde; Wu, Xiaonan
4
2013
Artificial boundary method for the exterior Stokes flow in three dimensions. Zbl 1078.76597
Zheng, Chunxiong; Han, Houde
3
2003
A method of enriched subspaces for the numerical solution of a parabolic singular perturbation problem. Zbl 0511.65083
Han, Houde; Kellogg, R. B.
3
1982
Error bounds for the finite element approximation of an incompressible material in an unbounded domain. Zbl 1106.74406
Bao, Weizhu; Han, Houde
3
2003
The finite element method in a family of improperly posed problems. Zbl 0476.65064
Han, Houde
3
1982
Tailored finite point method for numerical solutions of singular perturbed eigenvalue problems. Zbl 1308.65192
Han, Houde; Shih, Yin-Tzer; Tsai, Chih-Ching
3
2014
Adaptive artificial boundary condition for the two-level Schrödinger equation with conical crossings. Zbl 1210.65155
Han, Houde; Zhang, Zhiwen
3
2011
Canonical boundary element analysis of a model for an electropaint process – the canonical boundary element approximation of a Signorini problem. Zbl 0756.65141
Han, Houde; Guan, Zhi; Yu, Chongqing
3
1988
A boundary element method for Signorini problem in linear elasticity. Zbl 0771.73086
Han, Houde
3
1992
Multiscale tailored finite point method for second order elliptic equations with rough or highly oscillatory coefficients. Zbl 1416.65450
Han, Houde; Zhang, Zhiwen
3
2012
A boundary element method for Signorini problems in three dimensions. Zbl 0723.65092
Han, Houde
2
1991
Flow directed iterations for convection dominated flow. Zbl 0678.76085
Han, H.; Il’in, V. P.; Kellogg, R. B.
2
1988
Local artificial boundary conditions for the incompressible viscous flow in a slip channel. Zbl 0891.76049
Bao, Weizhu; Han, Houde
2
1997
The local finite element method. Zbl 0472.73081
Han, Hou-de; Ying, Long-an
2
1980
The boundary-element method for an improperly posed problem. Zbl 0744.65091
Ingham, D. B.; Yuan, Y.; Han, H.
2
1991
Artificial boundary method for the three-dimensional exterior problem of elasticity. Zbl 1280.74016
Han, Houde; Zheng, Chunxiong
2
2005
The artificial boundary conditions for numerical simulations of the complex amplitude in a coupled bay-river system. Zbl 1069.76030
Han, Houde; Wen, Xin
2
2004
Boundary element approximation of Steklov eigenvalues. Zbl 0812.65092
Han, Houde; Guan, Zhi; He, Bin
2
1994
An energy regularization method for the backward diffusion problem and its applications to image deblurring. Zbl 1364.65185
Han, Houde; Yan, Ming; Wu, Chunlin
2
2008
A boundary element approximation of a Signorini problem with friction obeying Coulomb law. Zbl 0803.73072
Han, Houde
2
1994
A boundary element procedure for the Signorini problem in three- dimensional elasticity. Zbl 0805.73072
Han, Houde
2
1994
The global artificial boundary conditions for numerical simulations of the flow around a submerged body. Zbl 1138.76322
Han, Houde; Wen, Xin
1
2005
An analysis of penalty-nonconforming finite element method for Stokes equations. Zbl 0623.76020
Han, Houde
1
1986
On the behavior of the exact solution and the error in a numerical solution of a turning point problem. Zbl 0511.65063
Berger, Alan E.; Han, Houde; Kellogg, R. Bruce
1
1982
Numerical solution of a two-dimensional nonlocal wave equation on unbounded domains. Zbl 1392.82036
Du, Qiang; Han, Houde; Zhang, Jiwei; Zheng, Chunxiong
11
2018
Tailored finite point methods for solving singularly perturbed eigenvalue problems with higher eigenvalues. Zbl 1380.65353
Han, Houde; Shih, Yintzer; Yin, Dongsheng
1
2017
The maximum principle for time-fractional diffusion equations and its application. Zbl 1333.65093
Brunner, Hermann; Han, Houde; Yin, Dongsheng
15
2015
Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain. Zbl 1349.65272
Brunner, Hermann; Han, Houde; Yin, Dongsheng
27
2014
Regularization methods for ill-conditioned system of the integral equation of the first kind with the logarithmic kernel. Zbl 1321.65194
Chen, Jeng-Tzong; Han, Houde; Kuo, Shyh-Rong; Kao, Shing-Kai
17
2014
The tailored finite point method. Zbl 1297.65154
Han, Houde; Huang, Zhongyi
9
2014
Two uniform tailored finite point schemes for the two dimensional discrete ordinates transport equations with boundary and interface layers. Zbl 1373.82076
Han, Houde; Tang, Min; Ying, Wenjun
6
2014
Tailored finite point method for numerical solutions of singular perturbed eigenvalue problems. Zbl 1308.65192
Han, Houde; Shih, Yin-Tzer; Tsai, Chih-Ching
3
2014
Artificial boundary method. Zbl 1277.65105
Han, Houde; Wu, Xiaonan
20
2013
Tailored finite point method based on exponential bases for convection-diffusion-reaction equation. Zbl 1262.65169
Han, Houde; Huang, Zhongyi
16
2013
A semi-discrete tailored finite point method for a class of anisotropic diffusion problems. Zbl 1416.65449
Han, Houde; Huang, Zhongyi; Ying, Wenjun
6
2013
A survey on artificial boundary method. Zbl 1304.35490
Han, Houde; Wu, Xiaonan
4
2013
A parameter-uniform tailored finite point method for singularly perturbed linear ODE systems. Zbl 1299.65154
Han, Houde; Miller, J. J. H.; Tang, Min
1
2013
An iterative method based on equation decomposition for the fourth-order singular perturbation problem. Zbl 1288.65165
Han, Houde; Huang, Zhongyi; Zhang, Shangyou
1
2013
Multiscale tailored finite point method for second order elliptic equations with rough or highly oscillatory coefficients. Zbl 1416.65450
Han, Houde; Zhang, Zhiwen
3
2012
Numerical blow-up of semilinear parabolic PDEs on unbounded domains in \(\mathbb R^{2}\). Zbl 1244.65128
Zhang, Jiwei; Han, Houde; Brunner, Hermann
10
2011
An energy regularization for Cauchy problems of Laplace equation in annulus domain. Zbl 1364.65229
Han, Houde; Ling, Leevan; Takeuchi, Tomoya
9
2011
Adaptive artificial boundary condition for the two-level Schrödinger equation with conical crossings. Zbl 1210.65155
Han, Houde; Zhang, Zhiwen
3
2011
Split local artificial boundary conditions for the two-dimensional sine-Gordon equation on \(\mathbb R^2\). Zbl 1388.65055
Han, Houde; Zhang, Zhiwen
1
2011
Tailored finite point method for steady-state reaction-diffusion equations. Zbl 1207.65138
Han, Houde; Huang, Zhongyi
16
2010
Tailored finite point method for a singular perturbation problem with variable coefficients in two dimensions. Zbl 1203.65225
Han, Houde; Huang, Zhongyi
16
2009
Numerical simulation of waves in periodic structures. Zbl 1364.78014
Ehrhardt, Matthias; Han, Houde; Zheng, Chunxiong
10
2009
A uniformly second order numerical method for the one-dimensional discrete-ordinate transport equation and its diffusion limit with interface. Zbl 1191.65181
Jin, Shi; Tang, Min; Han, Houde
8
2009
An analysis of the finite-difference method for one-dimensional Klein-Gordon equation on unbounded domain. Zbl 1162.65377
Han, Houde; Zhang, Zhiwen
7
2009
A tailored finite point method for a singular perturbation problem on an unbounded domain. Zbl 1203.65221
Han, Houde; Huang, Zhongyi; Kellogg, R. Bruce
34
2008
Numerical solution to a linearized KdV equation on unbounded domain. Zbl 1140.65070
Zheng, Chunxiong; Wen, Xin; Han, Houde
17
2008
Split local absorbing conditions for one-dimensional nonlinear Klein-Gordon equation on unbounded domain. Zbl 1152.65092
Han, Houde; Zhang, Zhiwen
15
2008
A tailored finite point method for the Helmholtz equation with high wave numbers in heterogeneous medium. Zbl 1174.65048
Han, Houde; Huang, Zhongyi
14
2008
Exact artificial boundary conditions for quasilinear elliptic equations in unbounded domains. Zbl 1168.65412
Han, Houde; Huang, Zhongyi; Yin, Dongsheng
6
2008
A mixed finite element method on a staggered mesh for Navier-Stokes equations. Zbl 1174.35094
Han, Houde; Yan, Ming
5
2008
An energy regularization method for the backward diffusion problem and its applications to image deblurring. Zbl 1364.65185
Han, Houde; Yan, Ming; Wu, Chunlin
2
2008
Convergence of a difference scheme for the heat equation in a long strip by artificial boundary conditions. Zbl 1133.65070
Han, Houde; Sun, Zhi-Zhong; Wu, Xiao-Nan
1
2008
Adaptive absorbing boundary conditions for Schrödinger-type equations: Application to nonlinear and multi-dimensional problems. Zbl 1343.65114
Xu, Zhenli; Han, Houde; Wu, Xiaonan
14
2007
Absorbing boundary conditions for the multidimensional Klein-Gordon equation. Zbl 1143.35306
Han, Houde; Yin, Dongsheng
8
2007
Numerical solitons of generalized Korteweg-de Vries equations. Zbl 1114.65121
Han, Houde; Xu, Zhenli
8
2007
Numerical solutions of Schrödinger equations in \(\mathbb {R}^{3}\). Zbl 1122.65088
Han, Houde; Yin, Dongsheng; Huang, Zhongyi
6
2007
Artificial boundary methods for Burgers’ equation using nonlinear boundary conditions. Zbl 1096.65085
Han, Houde; Wu, Xiao-nan; Xu, Zhenli
13
2006
Numerical method for the deterministic Kardar-Parisi-Zhang equation in unbounded domains. Zbl 1120.65097
Xu, Z.; Han, H.; Wu, X.
12
2006
Artificial boundary conditions for parabolic Volterra integro-differential equations on unbounded two-dimensional domains. Zbl 1104.65125
Han, Houde; Zhu, Liang; Brunner, Hermann; Ma, Jingtang
7
2006
Semi-implicit operator splitting Padé method for higher-order nonlinear Schrödinger equations. Zbl 1102.65093
Xu, Zhenli; He, Jingsong; Han, Houde
6
2006
A finite-difference method for the one-dimensional time-dependent Schrödinger equation on unbounded domain. Zbl 1092.65071
Han, Houde; Jin, Jicheng; Wu, Xiaonan
20
2005
The numerical solution of parabolic Volterra integro-differential equations on unbounded spatial domains. Zbl 1078.65126
Han, Houde; Zhu, Liang; Brunner, Hermann; Ma, Jingtang
9
2005
The artificial boundary method – numerical solutions of partial differential equations on unbounded domains. Zbl 1097.65115
Han, Houde
9
2005
Numerical solutions of parabolic problems on unbounded 3D spatial domain. Zbl 1102.65091
Han, Houde; Yin, Dongsheng
6
2005
Artificial boundary method for the three-dimensional exterior problem of elasticity. Zbl 1280.74016
Han, Houde; Zheng, Chunxiong
2
2005
The global artificial boundary conditions for numerical simulations of the flow around a submerged body. Zbl 1138.76322
Han, Houde; Wen, Xin
1
2005
Exact artifical boundary conditions for the Schrödinger equation in \(\mathbb R ^2\). Zbl 1089.35524
Han, Houde; Huang, Zhongyi
15
2004
The artificial boundary conditions for numerical simulations of the complex amplitude in a coupled bay-river system. Zbl 1069.76030
Han, Houde; Wen, Xin
2
2004
A fast numerical method for the Black-Scholes equation of American options. Zbl 1130.91336
Han, Houde; Wu, Xiaonan
44
2003
Exact nonreflecting boundary conditions for an acoustic problem in three dimensions. Zbl 1027.76048
Han, Houde; Zheng, Chunxiong
11
2003
A non-overlap domain decomposition method for the forward–backward heat equation. Zbl 1032.65107
Han, Houde; Yin, Dongsheng
8
2003
Artificial boundary method for the exterior Stokes flow in three dimensions. Zbl 1078.76597
Zheng, Chunxiong; Han, Houde
3
2003
Error bounds for the finite element approximation of an incompressible material in an unbounded domain. Zbl 1106.74406
Bao, Weizhu; Han, Houde
3
2003
The global artificial boundary conditions for numerical simulations of the 3D flow around a submerged body. Zbl 1090.76042
Han, Houde; Wen, Xin
1
2003
A class of artificial boundary conditions for heat equation in unbounded domains. Zbl 0999.65086
Han, Houde; Huang, Zhongyi
32
2002
Exact and approximating boundary conditions for the parabolic problems on unbounded domains. Zbl 1030.35092
Han, Houde; Huang, Zhongyi
23
2002
Mixed finite element method and higher-order local artificial boundary conditions for exterior 3-D Poisson equation. Zbl 1030.65118
Han, Houde; Zheng, Chunxiong
1
2002
Mixed finite element method and high-order local artificial boundary conditions for exterior problems of elliptic equation. Zbl 1069.65127
Han, Houde; Zheng, Chunxiong
1
2002
Error estimates for the finite element approximation of linear elastic equations in an unbounded domain. Zbl 0997.74060
Han, Houde; Bao, Weizhu
6
2001
Discrete boundary conditions for problems with interface. Zbl 0991.65120
Wu, Xiaonan; Han, Houde
4
2001
Numerical simulations of fracture problems by coupling the FEM and the direct method of lines. Zbl 1030.74048
Bao, Weizhu; Han, Houde; Huang, Zhongyi
1
2001
Stabilized numerical approximations of the backward problem of a parabolic equation. Zbl 0998.65104
Han, Houde; Hu, Gang
1
2001
The local artificial boundary conditions for numerical simulations of the flow around a submerged body. Zbl 1065.76137
Han, Houde; Wen, Xin
1
2001
Error estimates for the finite element approximation of problems in unbounded domains. Zbl 1001.65118
Han, Houde; Bao, Weizhu
18
2000
High-order local artificial boundary conditions for problems in unbounded domains. Zbl 0957.65096
Bao, Weizhu; Han, Houde
8
2000
Analysis of artificial boundary conditions for exterior boundary value problems in three dimensions. Zbl 0958.65115
Han, Houde; He, Changhong; Wu, Xiaonan
4
2000
The discrete artificial boundary condition on a polygonal artificial boundary for the exterior problem of Poisson equation by using the direct method of lines. Zbl 0949.65127
Han, Houde; Bao, Weizhu
8
1999
The direct method of lines for the numerical solutions of interface problem. Zbl 0946.65124
Han, Houde; Huang, Zhongyi
7
1999
The direct method of lines for the problem of infinite elastic foundation. Zbl 0947.74076
Bao, Weizhu; Han, Houde
4
1999
A semi-discrete numerical procedure for composite material problems. Zbl 1073.74643
Han, Houde; Huang, Zhongyi
1
1999
A new mixed finite element formulation and the MAC method for the Stokes equations. Zbl 0918.76036
Han, Houde; Wu, Xiaonan
38
1998
Stability and regularization of a discrete approximation to the Cauchy problem for Laplace’s equation. Zbl 0928.35184
Reinhardt, Hans-Jürgen; Han, Houde; Hào, Dinh Nho
36
1998
Boundary element approximation of Steklov eigenvalue problem for Helmholtz equation. Zbl 0977.65100
Tang, Weijun; Guan, Zhi; Han, Houde
12
1998
A finite-element method for Laplace- and Helmholtz-type boundary value problems with singularities. Zbl 0873.65100
Wu, Xiaonan; Han, Houde
19
1997
Numerical simulation for the problem of infinite elastic foundation. Zbl 0896.73058
Han, Houde; Bao, Weizhu; Wang, Tao
10
1997
Some stability estimates for Cauchy problems for elliptic equations. Zbl 0895.35105
Han, H.; Reinhardt, H.-J.
7
1997
The artificial boundary conditions for incompressible materials in an unbounded domain. Zbl 0892.73062
Han, H.; Bao, W.
5
1997
Local artificial boundary conditions for the incompressible viscous flow in a slip channel. Zbl 0891.76049
Bao, Weizhu; Han, Houde
2
1997
An artificial boundary condition for two-dimensional incompressible viscous flows using the method of lines. Zbl 0865.76062
Han, Houde; Bao, Weizhu
14
1996
Nonlocal artificial boundary conditions for the incompressible viscous flow in a channel using spectral techniques. Zbl 0853.76054
Bao, Weizhu; Han, Houde
6
1996
The boundary element method for the solution of the backward heat conduction equation. Zbl 0821.65064
Han, H.; Ingham, D. B.; Yuan, Y.
35
1995
An artificial boundary condition for the incompressible viscous flows in a no-slip channel. Zbl 0818.76067
Han, Houde; Bao, Weizhu
12
1995
A boundary element method for a nonlinear boundary value problem in steady-state heat transfer. Zbl 0838.65116
Han, Houde
1
1995
The artificial boundary conditions for incompressible viscous flow in channels. Zbl 0836.76071
Han, Houde; Bao, Weizhu
1
1995
The boundary integro-differential equations of three-dimensional Neumann problem in linear elasticity. Zbl 0806.73008
Han, Houde
16
1994
A discrete artificial boundary condition for steady incompressible viscous flows in a no-slip channel using a fast iterative method. Zbl 0810.76052
Han, Houde; Lu, Jinfu; Bao, Weizhu
15
1994
Boundary element approximation of Steklov eigenvalues. Zbl 0812.65092
Han, Houde; Guan, Zhi; He, Bin
2
1994
A boundary element approximation of a Signorini problem with friction obeying Coulomb law. Zbl 0803.73072
Han, Houde
2
1994
A boundary element procedure for the Signorini problem in three- dimensional elasticity. Zbl 0805.73072
Han, Houde
2
1994
The boundary element method for solving variational inequalities. Zbl 0806.65063
Han, Houde
1
1994
The approximation of the exact boundary conditions at an artificial boundary for linear elastic equations and its application. Zbl 0754.35008
Han, Houde; Wu, Xiaonan
26
1992
Analysis of flow directed iterations. Zbl 0743.76075
Han, Houde; Il’in, V. P.; Kellogg, R. B.; Wei, Yuan
5
1992
A boundary element method for Signorini problem in linear elasticity. Zbl 0771.73086
Han, Houde
3
1992
A boundary element method for Signorini problems in three dimensions. Zbl 0723.65092
Han, Houde
2
1991
The boundary-element method for an improperly posed problem. Zbl 0744.65091
Ingham, D. B.; Yuan, Y.; Han, H.
2
1991
Differentiability properties of solutions of the equation \(-\epsilon ^ 2\Delta u+ru=f(x,y)\) in a square. Zbl 0732.35020
Han, H.; Kellogg, R. B.
85
1990
A new class of variational formulations for the coupling of finite and boundary element methods. Zbl 0712.65093
Han, Houde
39
1990
A direct boundary element method for Signorini problems. Zbl 0705.65084
Han, Houde
24
1990
Boundary integro-differential equations of elliptic boundary value problems and their numerical solutions. Zbl 0681.65080
Han, Houde
4
1988
Canonical boundary element analysis of a model for an electropaint process – the canonical boundary element approximation of a Signorini problem. Zbl 0756.65141
Han, Houde; Guan, Zhi; Yu, Chongqing
3
1988
...and 17 more Documents
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Cited by 1,027 Authors

36 Han, Houde
22 Huang, Zhongyi
22 Zhang, Jiwei
17 Zheng, Chunxiong
16 Wu, Xiaonan
13 Bao, Weizhu
13 Gatica, Gabriel N.
13 Rui, Hongxing
12 Jung, Changyeol
12 Sayas, Francisco-Javier
12 Stynes, Martin
11 O’Riordan, Eugene
10 Dehghan Takht Fooladi, Mehdi
10 Li, Xiaoli
10 Nicholls, David P.
10 Stephan, Ernst Peter
10 Zhang, Shougui
9 Temam, Roger Meyer
8 Chen, Jeng-Tzong
8 Gosse, Laurent
8 Kellogg, Bruce
8 Meddahi, Salim
8 Roos, Hans-Görg
7 Brunner, Hermann
7 Du, Qikui
7 Hon, Yiu-Chung
7 Hsiao, George C.
7 Li, Jichun
7 Li, Zi-Cai
7 Sun, Zhizhong
7 Wei, Ting
6 Clavero, Carmelo
6 Fu, Chuli
6 Li, Xiaolin
6 Patidar, Kailash C.
6 Sheen, Dongwoo
6 Shi, Zhongci
6 Song, Haiming
6 Wang, Yihong
6 Xu, Liwei
6 Zhang, Shangyou
6 Zhang, Zhimin
5 Antoine, Xavier
5 Ashyralyev, Allaberen
5 Du, Qiang
5 Gracia, José Luis
5 Hu, Jun
5 Li, Hongwei
5 Linß, Torsten
5 Liu, Chein-Shan
5 Maischak, Matthias
5 Mao, Shipeng
5 Pang, Gang
5 Shi, Dongyang
5 Tangman, Désiré Yannick
5 Yin, Dongsheng
5 Zhang, Liping
5 Zhang, Ruming
5 Zhang, Zhiwen
4 Banz, Lothar
4 Bhuruth, Muddun
4 Burman, Erik
4 Cao, Kai
4 Carstensen, Carsten
4 Chang, Yu-Lung
4 Chen, Shaochun
4 Cheng, Xiaoliang
4 Guo, Shimin
4 Gupta, Vikas
4 Heuer, Norbert
4 Hong, Youngjoon
4 Jin, Jicheng
4 Kadalbajoo, Mohan K.
4 Kao, Shing-Kai
4 Kaushik, Aditya
4 Koyama, Daisuke
4 Lee, Ming-Gong
4 Lesnic, Daniel
4 Li, XinDong
4 Li, Zhilin
4 Luo, Zhongxuan
4 Meng, Zhaoliang
4 Nigam, Nilima
4 Praetorius, Dirk
4 Rapún, María-Luisa
4 Ren, Jincheng
4 Schanz, Martin
4 Shih, Yintzer
4 Tang, Shaoqiang
4 Wang, Jianyun
4 Wang, Xiaoshen
4 Xenophontos, Christos A.
4 Xiong, Xiangtuan
4 Zhang, Qian
3 Achchab, Boujemaa
3 Banei, Siamak
3 Besse, Christophe
3 Chang, Chih-Wen
3 Chen, Yanping
3 Company, Rafael
...and 927 more Authors
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Cited in 140 Serials

71 Journal of Computational and Applied Mathematics
56 Applied Mathematics and Computation
45 Applied Numerical Mathematics
45 Journal of Scientific Computing
41 Computers & Mathematics with Applications
40 Journal of Computational Physics
34 Computer Methods in Applied Mechanics and Engineering
31 Engineering Analysis with Boundary Elements
30 Numerische Mathematik
22 Mathematics of Computation
15 SIAM Journal on Numerical Analysis
15 Numerical Methods for Partial Differential Equations
15 Numerical Algorithms
15 International Journal of Computer Mathematics
10 Applied Mathematical Modelling
10 Communications in Computational Physics
9 Japan Journal of Industrial and Applied Mathematics
9 SIAM Journal on Scientific Computing
8 Journal of Mathematical Analysis and Applications
8 Computing
8 Mathematics and Computers in Simulation
8 Inverse Problems in Science and Engineering
7 Mathematical Methods in the Applied Sciences
7 Applied Mathematics Letters
7 Mathematical Problems in Engineering
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 BIT
6 Applications of Mathematics
6 Science China. Mathematics
5 International Journal for Numerical Methods in Engineering
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Advances in Applied Mathematics and Mechanics
5 East Asian Journal on Applied Mathematics
4 Applicable Analysis
4 International Journal of Heat and Mass Transfer
4 RAIRO. Modélisation Mathématique et Analyse Numérique
4 Computational Mechanics
4 Mathematical and Computer Modelling
4 Advances in Computational Mathematics
4 Abstract and Applied Analysis
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Communications in Nonlinear Science and Numerical Simulation
4 Computational Methods in Applied Mathematics
4 International Journal of Computational Methods
4 Journal of Applied Mathematics & Informatics
3 Computers and Fluids
3 Computer Physics Communications
3 Calcolo
3 Journal of Optimization Theory and Applications
3 Applied Mathematics and Mechanics. (English Edition)
3 Communications in Numerical Methods in Engineering
3 Discrete Dynamics in Nature and Society
3 Differential Equations
3 Journal of Numerical Mathematics
3 Journal of Applied Mathematics and Computing
3 Advances in Difference Equations
3 Boundary Value Problems
3 Inverse Problems and Imaging
3 International Journal of Applied and Computational Mathematics
2 Journal of Fluid Mechanics
2 Journal of Mathematical Physics
2 Journal of Differential Equations
2 Numerical Functional Analysis and Optimization
2 Moscow University Computational Mathematics and Cybernetics
2 Journal of Computational Mathematics
2 Journal of Integral Equations and Applications
2 Science in China. Series A
2 Journal of Elasticity
2 SIAM Journal on Applied Mathematics
2 Applied Mathematics. Series B (English Edition)
2 Journal of Difference Equations and Applications
2 International Journal of Theoretical and Applied Finance
2 Engineering Computations
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Analysis and Applications (Singapore)
2 Frontiers of Mathematics in China
2 Numerical Mathematics: Theory, Methods and Applications
2 International Journal of Differential Equations
2 S\(\vec{\text{e}}\)MA Journal
2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
2 Journal of Mathematics
2 Research in the Mathematical Sciences
2 Communications on Applied Mathematics and Computation
1 Acta Mechanica
1 International Journal for Numerical Methods in Fluids
1 Wave Motion
1 Quaestiones Mathematicae
1 RAIRO. Analyse Numérique
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Siberian Mathematical Journal
1 Zeitschrift für Analysis und ihre Anwendungen
1 Acta Applicandae Mathematicae
1 Physica D
1 Acta Mathematicae Applicatae Sinica. English Series
1 Asymptotic Analysis
1 Computational Mathematics and Modeling
1 European Journal of Operational Research
1 SIAM Review
1 Advances in Engineering Software
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
...and 40 more Serials
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Cited in 37 Fields

698 Numerical analysis (65-XX)
456 Partial differential equations (35-XX)
117 Fluid mechanics (76-XX)
83 Mechanics of deformable solids (74-XX)
41 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
36 Classical thermodynamics, heat transfer (80-XX)
35 Ordinary differential equations (34-XX)
29 Optics, electromagnetic theory (78-XX)
28 Integral equations (45-XX)
18 Real functions (26-XX)
17 Probability theory and stochastic processes (60-XX)
17 Statistical mechanics, structure of matter (82-XX)
16 Calculus of variations and optimal control; optimization (49-XX)
10 Integral transforms, operational calculus (44-XX)
8 Functional analysis (46-XX)
7 Operator theory (47-XX)
6 Quantum theory (81-XX)
5 Special functions (33-XX)
5 Geophysics (86-XX)
5 Operations research, mathematical programming (90-XX)
4 Information and communication theory, circuits (94-XX)
3 Potential theory (31-XX)
3 Approximations and expansions (41-XX)
3 Mechanics of particles and systems (70-XX)
3 Biology and other natural sciences (92-XX)
2 Functions of a complex variable (30-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Difference and functional equations (39-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Statistics (62-XX)
2 Computer science (68-XX)
1 History and biography (01-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Convex and discrete geometry (52-XX)
1 Astronomy and astrophysics (85-XX)
1 Systems theory; control (93-XX)

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