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## Han, Weimin

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 Author ID: han.weimin Published as: Han, Weimin; Han, W. Homepage: http://homepage.divms.uiowa.edu/~whan/ External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp · GND
 Documents Indexed: 221 Publications since 1986, including 11 Books
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#### Co-Authors

 26 single-authored 47 Sofonea, Mircea 28 Cheng, Xiaoliang 15 Gong, Rongfang 12 Barboteu, Mikaël 10 Migórski, Stanisław 10 Wang, Ge 9 Huang, Hongci 9 Kazmi, Kamran 9 Reddy, B. Dayanand 8 Eichholz, Joseph A. 8 Huang, Jianguo 7 Atkinson, Kendall Eugene 7 Wang, Cheng 6 Chau, Oanh 5 Chen, Jiuhua 5 Cong, Wenxiang 5 Fernández, Jose Ramon 5 Shillor, Meir 4 Bostan, Viorel 4 Chen, Wenbin 4 Czuprynski, Kenneth 4 Fang, Changjie 4 Huang, Ziping 4 Jing, Feifei 4 Jou, Emery D. 4 Liu, Wing Kam 4 Meng, Xueping 4 Sheng, Qiwei 4 Tang, Jinping 4 Zhou, Jinshi 3 Han, Bo 3 Han, Danfu 3 He, Limin 3 Zheng, Hao 2 Bartosz, Krzysztof 2 Bi, Bo 2 Chen, Jiun-Shyan 2 Chen, Yu 2 Ding, Liang 2 Feng, Fang 2 Fernández García, José Ramón 2 Gao, Jinghuai 2 Jureczka, Michal 2 Li, Shaofan 2 Li, Yi 2 Ling, Min 2 Lu, Hongsheng 2 Lu, Jia 2 Ochal, Anna 2 Schulz, Friedmar 2 Wang, Lieheng 2 Yan, Wenjing 2 Zhang, Tianyi 2 Zheng, Xuan 1 Cai, Wentao 1 Campo, Marco A. 1 Cao, Jian 1 Chen, Zhe 1 Dai, Xiaoxia 1 Dai, Yu-Hong 1 Danan, David 1 E, Weinan 1 Essoufi, El Hassan 1 Geng, Huantong 1 Hua, Dongying 1 Huang, Xuehai 1 Intes, Xavier 1 Janiczko, Tomasz 1 Jiang, Nan 1 Jin, Qinian 1 Li, Zhibao 1 Lian, Xiaopeng 1 Long, Feixiao 1 McAsey, Michael J. 1 Mermri, El Bekkaye 1 Mou, Libin 1 Mu, Mo 1 Peng, Jigen 1 Potra, Florian-Alexandru 1 Qian, Jing 1 Ren, Minglun 1 Schroeder, Gregory C. 1 Shen, Haiou 1 Shen, Jihong 1 Shimansky, Igor 1 Simkins, Daniel Craig jun. 1 Stewart, David Edward 1 Viaño, Juan Manuel 1 Wagner, Gregory J. 1 Wang, Guoqiao 1 Wang, Shufen 1 Wang, Shujuan 1 Wu, Bangmin 1 Wu, Cheng-Tang 1 Xiao, Qichang 1 Xiao, Wenqiang 1 Xu, Wenhao 1 Xu, Zongben 1 Xuan, Hailing 1 You, Yang ...and 9 more Co-Authors
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#### Serials

 21 Journal of Computational and Applied Mathematics 14 Computer Methods in Applied Mechanics and Engineering 10 Inverse Problems 8 Numerical Functional Analysis and Optimization 8 SIAM Journal on Numerical Analysis 7 Numerische Mathematik 6 Applicable Analysis 6 Journal of Scientific Computing 5 IMA Journal of Numerical Analysis 5 Applied Mathematics and Computation 5 Journal of Computational Mathematics 5 Nonlinear Analysis. Real World Applications 5 Inverse Problems in Science and Engineering 4 Computers & Mathematics with Applications 4 Applied Numerical Mathematics 4 Journal of Mathematical Chemistry 3 Journal of Mathematical Analysis and Applications 3 Mathematical Methods in the Applied Sciences 3 International Journal for Numerical Methods in Engineering 3 Mathematical and Computer Modelling 3 Computational and Applied Mathematics 3 Texts in Applied Mathematics 2 Journal of Engineering Mathematics 2 Applied Mathematics Letters 2 Journal of Integral Equations and Applications 2 SIAM Journal on Mathematical Analysis 2 Interdisciplinary Applied Mathematics 2 Advances in Mechanics and Mathematics 2 Computational & Mathematical Methods in Medicine 2 Communications in Computational Physics 2 Evolution Equations and Control Theory 1 Analysis Mathematica 1 IMA Journal of Applied Mathematics 1 International Journal of Mathematical Education in Science and Technology 1 International Journal of Solids and Structures 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Mathematics of Computation 1 Journal of Optimization Theory and Applications 1 Mathematica Numerica Sinica 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Optimization 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 Computational Optimization and Applications 1 SIAM Journal on Scientific Computing 1 Applied Mathematics. Series A (Chinese Edition) 1 Applied Mathematics. Series B (English Edition) 1 Communications in Numerical Methods in Engineering 1 Computational Mechanics Advances 1 Applicationes Mathematicae 1 Numerical Linear Algebra with Applications 1 ETNA. Electronic Transactions on Numerical Analysis 1 Methods and Applications of Analysis 1 Advances in Computational Mathematics 1 Analele Universităţii din Craiova. Seria Matematică Informatică 1 Discrete and Continuous Dynamical Systems 1 Mathematics and Mechanics of Solids 1 Nonlinear Dynamics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 International Journal of Applied Mathematics and Computer Science 1 International Journal of Differential Equations and Applications 1 CMES. Computer Modeling in Engineering & Sciences 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Journal of Applied Mathematics 1 Communications in Mathematical Sciences 1 Chinese Journal of Computational Mechanics 1 Control and Decision 1 Acta Numerica 1 International Journal of Numerical Analysis and Modeling 1 Journal of Concrete and Applicable Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Lecture Notes in Mathematics 1 AMS/IP Studies in Advanced Mathematics 1 Pure and Applied Mathematics (Boca Raton) 1 Inverse Problems and Imaging 1 Numerical Mathematics: Theory, Methods and Applications 1 Journal of Nonlinear Science and Applications 1 Science China. Mathematics 1 Pure and Applied Mathematics. A Wiley Series of Texts, Monographs, and Tracts
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#### Fields

 133 Numerical analysis (65-XX) 96 Mechanics of deformable solids (74-XX) 70 Partial differential equations (35-XX) 54 Calculus of variations and optimal control; optimization (49-XX) 22 Biology and other natural sciences (92-XX) 13 Operator theory (47-XX) 13 Fluid mechanics (76-XX) 9 Integral equations (45-XX) 5 Ordinary differential equations (34-XX) 5 Functional analysis (46-XX) 5 Astronomy and astrophysics (85-XX) 4 Approximations and expansions (41-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Special functions (33-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

174 Publications have been cited 2,456 times in 1,469 Documents Cited by Year
Quasistatic contact problems in viscoelasticity and viscoplasticity. Zbl 1013.74001
Han, Weimin; Sofonea, Mircea
2002
Plasticity. Mathematical theory and numerical analysis. Zbl 0926.74001
Han, Weimin; Reddy, B. Daya
1999
Theoretical numerical analysis. A functional analysis framework. 3rd ed. Zbl 1181.47078
Atkinson, Kendall; Han, Weimin
2009
Spherical harmonics and approximations on the unit sphere. An introduction. Zbl 1254.41015
Atkinson, Kendall; Han, Weimin
2012
Analysis and approximation of contact problems with adhesion or damage. Zbl 1089.74004
Sofonea, Mircea; Han, Weimin; Shillor, Meir
2006
Error analysis of the reproducing kernel particle method. Zbl 0992.65119
Han, Weimin; Meng, Xueping
2001
Reproducing kernel element method. I: Theoretical formulation. Zbl 1060.74670
Liu, Wing Kam; Han, Weimin; Lu, Hongsheng; Li, Shaofan; Cao, Jian
2004
A class of variational-hemivariational inequalities with applications to frictional contact problems. Zbl 1309.47068
Han, Weimin; Migórski, Stanisław; Sofonea, Mircea
2014
Theoretical numerical analysis. A functional analysis framework. 2nd ed. Zbl 1068.47091
Atkinson, Kendall; Han, Weimin
2005
Theoretical numerical analysis. A functional analysis framework. Zbl 0966.65001
Atkinson, Kendall; Han, Weimin
2001
Variational and numerical analysis of a quasistatic viscoelastic problem with normal compliance, friction and damage. Zbl 0999.74087
Han, Weimin; Shillor, Meir; Sofonea, Mircea
2001
Reproducing kernel element method. II: Globally conforming $$I^m/C^n$$ hierarchies. Zbl 1093.74062
Li, Shaofan; Lu, Hongsheng; Han, Weimin; Liu, Wing Kam; Simkins, Daniel C.
2004
Plasticity. Mathematical theory and numerical analysis. 2nd ed. Zbl 1258.74002
Han, Weimin; Reddy, B. Daya
2013
Discontinuous Galerkin methods for solving elliptic variational inequalities. Zbl 1214.65039
Wang, Fei; Han, Weimin; Cheng, Xiao-Liang
2010
Numerical analysis of elliptic hemivariational inequalities. Zbl 1362.74033
Han, Weimin; Sofonea, Mircea; Barboteu, Mikaël
2017
A reproducing kernel method with nodal interpolation property. Zbl 1106.74424
Chen, Jiun-Shyan; Han, Weimin; You, Yang; Meng, Xueping
2003
Evolutionary variational inequalities arising in viscoelastic contact problems. Zbl 0988.74048
Han, Weimin; Sofonea, Mircea
2000
Numerical analysis of history-dependent variational-hemivariational inequalities with applications to contact problems. Zbl 1439.74230
Sofonea, Mircea; Han, Weimin; Migórski, Stanisław
2015
Numerical analysis of stationary variational-hemivariational inequalities. Zbl 1397.65265
Han, Weimin; Sofonea, Mircea; Danan, David
2018
A frictionless contact problem for elastic-viscoplastic materials with normal compliance and damage. Zbl 1042.74039
Chau, O.; Fernández-García, J. R.; Han, W.; Sofonea, M.
2002
On the finite element method for mixed variational inequalities arising in elastoplasticity. Zbl 0838.73072
Han, Weimin; Reddy, B. Daya
1995
Discontinuous Galerkin methods for solving the Signorini problem. Zbl 1315.74021
Wang, Fei; Han, Weimin; Cheng, Xiaoliang
2011
Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics. Zbl 1404.74158
Han, Weimin
2018
Numerical analysis of hemivariational inequalities in contact mechanics. Zbl 1433.65296
Han, Weimin; Sofonea, Mircea
2019
Numerical analysis of a hyperbolic hemivariational inequality arising in dynamic contact. Zbl 1312.65156
Barboteu, Mikaël; Bartosz, Krzysztof; Han, Weimin; Janiczko, Tomasz
2015
Mathematical theory and numerical analysis of bioluminescence tomography. Zbl 1106.35124
Han, Weimin; Cong, Wenxiang; Wang, Ge
2006
Computational plasticity: The variational basis and numerical analysis. Zbl 0847.73078
Han, Weimin; Reddy, B. Daya
1995
A posteriori error analysis via duality theory. With applications in modeling and numerical approximations. Zbl 1081.65065
Han, Weimin
2005
Existence, uniqueness and smoothness results for second-kind Volterra equations with weakly singular kernels. Zbl 0820.45003
Han, Weimin
1994
Convergence of the forward-backward sweep method in optimal control. Zbl 1258.49040
McAsey, Michael; Mou, Libin; Han, Weimin
2012
Discrete-ordinate discontinuous Galerkin methods for solving the radiative transfer equation. Zbl 1215.65197
Han, Weimin; Huang, Jianguo; Eichholz, Joseph A.
2010
A new discontinuous Galerkin method for Kirchhoff plates. Zbl 1231.74416
Huang, Jianguo; Huang, Xuehai; Han, Weimin
2010
A theoretical study for RTE-based parameter identification problems. Zbl 1287.45006
Tang, Jinping; Han, Weimin; Han, Bo
2013
A posteriori error estimation and adaptive solution of elliptic variational inequalities of the second kind. Zbl 1069.65067
Bostan, Viorel; Han, Weimin; Reddy, B. D.
2005
Some mixed finite element methods for biharmonic equation. Zbl 0973.65098
Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci
2000
Elastic beam in adhesive contact. Zbl 1012.74050
Han, W.; Kuttler, K. L.; Shillor, M.; Sofonea, M.
2002
A posteriori error analysis for finite element solutions of a frictional contact problem. Zbl 1115.74047
Bostan, Viorel; Han, Weimin
2006
A posteriori error analysis for linearization of nonlinear elliptic problems and their discretizations. Zbl 0799.35082
Han, Weimin
1994
Numerical analysis of a frictionless contact problem for elastic-viscoplastic materials. Zbl 1004.74071
Han, Weimin; Sofonea, Mircea
2000
A posteriori error estimates for discontinuous Galerkin methods of obstacle problems. Zbl 1304.65163
Wang, Fei; Han, Weimin; Eichholz, Joseph; Cheng, Xiaoliang
2015
A dynamic frictional contact problem with normal damped response. Zbl 1008.74058
Chau, O.; Han, W.; Sofonea, M.
2002
Discontinuous Galerkin methods for solving a quasistatic contact problem. Zbl 1431.74106
Wang, Fei; Han, Weimin; Cheng, Xiaoliang
2014
Discontinuous Galerkin methods for a stationary Navier-Stokes problem with a nonlinear slip boundary condition of friction type. Zbl 1397.65272
Jing, Feifei; Han, Weimin; Yan, Wenjing; Wang, Fei
2018
Numerical solution of ordinary differential equations. Zbl 1168.65004
Atkinson, Kendall E.; Han, Weimin; Stewart, David E.
2009
On the perturbed Lagrangian formulation for nearly incompressible and incompressible hyperelasticity. Zbl 0892.73057
Chen, J. S.; Han, W.; Wu, C. T.; Duan, W.
1997
The regularization method for an obstacle problem. Zbl 0817.65050
Huang, Hongci; Han, Weimin; Zhou, Jinshi
1994
Numerical analysis of history-dependent quasivariational inequalities with applications in contact mechanics. Zbl 1292.65074
Kazmi, Kamran; Barboteu, Mikael; Han, Weimin; Sofonea, Mircea
2014
Analysis and numerical solution of a frictionless contact problem for electro-elastic-visco-plastic materials. Zbl 1173.74362
Han, Weimin; Sofonea, M.; Kazmi, Kamran
2007
Convergence analysis of a hierarchical enrichment of Dirichlet boundary conditions in a mesh-free method. Zbl 0995.65108
Han, Weimin; Wagner, Gregory J.; Liu, Wing Kam
2002
Minimal-energy splines. I: Plane curves with angle constraints. Zbl 0722.49033
Jou, Emery D.; Han, Weimin
1990
Time-dependent variational inequalities for viscoelastic contact problems. Zbl 1001.74087
Han, Weimin; Sofonea, Mircea
2001
Nonconforming finite element analysis for a plate contact problem. Zbl 1034.74045
Han, Weimin; Wang, Lie-heng
2002
Numerical analysis of history-dependent variational-hemivariational inequalities with applications in contact mechanics. Zbl 1458.74139
Xu, Wei; Huang, Ziping; Han, Weimin; Chen, Wenbin; Wang, Cheng
2019
A penalty method for history-dependent variational-hemivariational inequalities. Zbl 1409.65039
Sofonea, Mircea; Migórski, Stanisław; Han, Weimin
2018
Analysis of a general dynamic history-dependent variational-hemivariational inequality. Zbl 1383.49009
Han, Weimin; Migórski, Stanisław; Sofonea, Mircea
2017
Theoretical and numerical analysis on multispectral bioluminescence tomography. Zbl 1123.92015
Han, Weimin; Wang, Ge
2007
A novel for solving inverse source problems. Zbl 1290.35324
Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin; Zheng, Xuan
2014
Qualitative and numerical analysis of quasi-static problems in elastoplasticity. Zbl 0933.74010
Han, Weimin; Reddy, B. Daya; Schroeder, Gregory C.
1997
The Kačanov method for some nonlinear problems. Zbl 0878.65099
Han, Weimin; Jensen, Søren; Shimansky, Igor
1997
Analysis and numerical approximation of an elastic frictional contact problem with normal compliance. Zbl 1050.74639
Han, Weimin; Sofonea, Mircea
1999
Variational and numerical analysis of a dynamic frictionless contact problem with adhesion. Zbl 1021.74029
Chau, O.; Fernández, J. R.; Han, W.; Sofonea, M.
2003
Bioluminescence tomography with optimized optical parameters. Zbl 1118.35068
Han, Weimin; Kazmi, Kamran; Cong, Wenxiang; Wang, Ge
2007
Flexible piecewise approximations based on partition of unity. Zbl 1067.65125
Han, Weimin; Liu, Wing Kam
2005
A frictionless contact problem for viscoelastic materials. Zbl 1035.74040
Barboteu, Mikäel; Han, Weimin; Sofonea, Mircea
2002
Finite element analysis of a holonomic elastic-plastic problem. Zbl 0726.73071
Han, Weimin
1992
Quantitative error estimates for material idealization of torsion problems. Zbl 0731.73096
Han, Weimin
1991
RTE-based bioluminescence tomography: A theoretical study. Zbl 1217.92061
Han, Weimin; Eichholz, Joseph A.; Huang, Jianguo; Lu, Jia
2011
On convergence of numerical methods for variational-hemivariational inequalities under minimal solution regularity. Zbl 1412.49027
Han, Weimin; Zeng, Shengda
2019
Well-posedness and optimal control of a hemivariational inequality for nonstationary Stokes fluid flow. Zbl 1354.35099
Fang, Changjie; Han, Weimin
2016
On a dynamic contact problem for elastic-viscoplastic materials. Zbl 1112.74043
Han, Weimin; Sofonea, M.
2007
A numerical method for a Cauchy problem for elliptic partial differential equations. Zbl 1126.35085
Han, Weimin; Huang, Jianguo; Kazmi, Kamran; Chen, Yu
2007
Another view for a posteriori error estimates for variational inequalities of the second kind. Zbl 1302.65159
Wang, Fei; Han, Weimin
2013
Recovery-based error estimation and adaptive solution of elliptic variational inequalities of the second kind. Zbl 1084.35025
Bostan, Viorel; Han, Weimin
2004
On a meshfree method for singular problems. Zbl 0997.65132
Han, Weimin; Meng, Xueping
2002
Numerical analysis of a quasistatic problem of sliding frictional contact with wear. Zbl 1169.74500
Chen, Jiuhua; Han, Weimin; Sofonea, Mircea
2000
Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems. Zbl 0878.73068
Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci
1997
Inexact Uzawa algorithms for variational inequalities of the second kind. Zbl 1033.65045
Cheng, Xiao-liang; Han, Weimin
2003
Numerical analysis of a contact problem in rate-type viscoplasticity. Zbl 1043.74034
Chen, Jiuhua; Han, Weimin; Sofonea, Mircea
2001
Variational and numerical analysis of a frictionless contact problem for elastic-viscoplastic materials with internal state variables. Zbl 0996.74056
Fernández, J. R.; Han, W.; Sofonea, M.; Viaño, J. M.
2001
A new general mathematical framework for bioluminescence tomography. Zbl 1169.92309
Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin
2008
A theoretical framework of X-ray dark-field tomography. Zbl 1233.35195
Han, Weimin; Eichholz, Joseph A.; Cheng, Xiaoliang; Wang, Ge
2011
Analysis of a viscoelastic contact problem with multivalued normal compliance and unilateral constraint. Zbl 1286.74067
Sofonea, Mircea; Han, Weimin; Barboteu, Mikael
2013
Some studies of the reproducing kernel particle method. Zbl 1090.65543
Han, Weimin; Meng, Xueping
2002
Minimal-energy splines with various end constraints. Zbl 0789.41006
Jou, Emery; Han, Weimin
1992
On the numerical solution of some semilinear elliptic problems. Zbl 1065.65133
Atkinson, Kendall; Han, Weimin
2004
On the numerical approximation of a frictional contact problem with normal compliance. Zbl 0856.73066
Han, Weimin
1996
Convergence of approximations to the primal problem in plasticity under conditions of minimal regularity. Zbl 0990.74063
Han, Weimin; Reddy, B. Daya
2000
A regularization procedure for a simplified friction problem. Zbl 0732.65057
Han, Weimin
1991
Analysis and numerical solution of a piezoelectric frictional contact problem. Zbl 1252.74048
Sofonea, Mircea; Kazmi, Kamran; Barboteu, Mikael; Han, Weimin
2012
Discrete gradient method in solid mechanics. Zbl 1159.74453
Lu, Jia; Qian, Jing; Han, Weimin
2008
Numerical analysis of a nonlinear evolutionary system with applications in viscoplasticity. Zbl 0980.65105
Chen, Jiuhua; Han, Weimin; Sofonea, Mircea
2000
Image reconstruction for diffuse optical tomography based on radiative transfer equation. Zbl 1343.92257
Bi, Bo; Han, Bo; Han, Weimin; Tang, Jinping; Li, Li
2015
Advances in variational and hemivariational inequalities. Theory, numerical analysis, and applications. Zbl 1309.49002
Han, Weimin (ed.); Migórski, Stanisław (ed.); Sofonea, Mircea (ed.)
2015
On a family of differential approximations of the radiative transfer equation. Zbl 1310.65165
Han, Weimin; Eichholz, Joseph A.; Wang, Ge
2012
A class of hemivariational inequalities for nonstationary Navier-Stokes equations. Zbl 1342.35215
Fang, Changjie; Han, Weimin; Migórski, Stanisław; Sofonea, Mircea
2016
Virtual element method for an elliptic hemivariational inequality with applications to contact mechanics. Zbl 1432.74202
Feng, Fang; Han, Weimin; Huang, Jianguo
2019
Mixed total variation and $$L^1$$ regularization method for optical tomography based on radiative transfer equation. Zbl 1369.92065
Tang, Jinping; Han, Bo; Han, Weimin; Bi, Bo; Li, Li
2017
Analysis of some mixed elements for the Stokes problem. Zbl 0896.76035
Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci
1997
A regularization method for coefficient identification of a non- homogeneous Helmholtz equation. Zbl 0807.35153
Chen, Jie; Han, Weimin; Schulz, Friedmar
1994
Convergence acceleration for some rootfinding methods. Zbl 0811.65037
Han, W.; Potra, F. A.
1993
Numerical analysis of a parabolic hemivariational inequality for semipermeable media. Zbl 1467.65093
Han, Weimin; Wang, Cheng
2021
Numerical analysis of a contact problem with wear. Zbl 1447.65144
Han, Danfu; Han, Weimin; Jureczka, Michal; Ochal, Anna
2020
Adaptive discontinuous Galerkin methods for solving an incompressible Stokes flow problem with slip boundary condition of frictional type. Zbl 1434.65278
Wang, Fei; Ling, Min; Han, Weimin; Jing, Feifei
2020
Numerical studies of a hemivariational inequality for a viscoelastic contact problem with damage. Zbl 1437.65189
Han, Weimin; Jureczka, Michal; Ochal, Anna
2020
Numerical analysis of a dynamic contact problem with history-dependent operators. Zbl 1463.65314
Xuan, Hailing; Cheng, Xiaoliang; Han, Weimin; Xiao, Qichang
2020
Analysis of an a posteriori error estimator for a variational inequality governed by the Stokes equations. Zbl 1440.65212
Jing, Feifei; Han, Weimin; Zhang, Yongchao; Yan, Wenjing
2020
Minimization principles for elliptic hemivariational inequalities. Zbl 1436.49010
Han, Weimin
2020
Singular perturbations of variational-hemivariational inequalities. Zbl 1441.35021
Han, Weimin
2020
The nonconforming virtual element method for a stationary Stokes hemivariational inequality with slip boundary condition. Zbl 1456.65163
Ling, Min; Wang, Fei; Han, Weimin
2020
Finite element method for a stationary Stokes hemivariational inequality with slip boundary condition. Zbl 1466.65185
Fang, Changjie; Czuprynski, Kenneth; Han, Weimin; Cheng, Xiaoliang; Dai, Xiaoxia
2020
Numerical analysis of history-dependent variational-hemivariational inequalities. Zbl 07344459
Wang, Shufen; Xu, Wei; Han, Weimin; Chen, Wenbin
2020
Numerical analysis of hemivariational inequalities in contact mechanics. Zbl 1433.65296
Han, Weimin; Sofonea, Mircea
2019
Numerical analysis of history-dependent variational-hemivariational inequalities with applications in contact mechanics. Zbl 1458.74139
Xu, Wei; Huang, Ziping; Han, Weimin; Chen, Wenbin; Wang, Cheng
2019
On convergence of numerical methods for variational-hemivariational inequalities under minimal solution regularity. Zbl 1412.49027
Han, Weimin; Zeng, Shengda
2019
Virtual element method for an elliptic hemivariational inequality with applications to contact mechanics. Zbl 1432.74202
Feng, Fang; Han, Weimin; Huang, Jianguo
2019
$${C^0}$$ discontinuous Galerkin methods for a plate frictional contact problem. Zbl 1463.74094
Wang, Fei; Zhang, Tianyi; Han, Weimin
2019
Numerical analysis of history-dependent hemivariational inequalities and applications to viscoelastic contact problems with normal penetration. Zbl 1442.65113
Xu, Wei; Huang, Ziping; Han, Weimin; Chen, Wenbin; Wang, Cheng
2019
Virtual element methods for elliptic variational inequalities of the second kind. Zbl 1419.49014
Feng, Fang; Han, Weimin; Huang, Jianguo
2019
Optimal order error estimates for discontinuous Galerkin methods for the wave equation. Zbl 1412.65213
Han, Weimin; He, Limin; Wang, Fei
2019
On numerical approximation of a variational-hemivariational inequality modeling contact problems for locking materials. Zbl 1442.74139
Barboteu, Mikaël; Han, Weimin; Migórski, Stanisław
2019
On penalty method for unilateral contact problem with non-monotone contact condition. Zbl 1419.65108
Han, Weimin; Migórski, Stanisław; Sofonea, Mircea
2019
$$\alpha\ell_1-\beta\ell_2$$ regularization for sparse recovery. Zbl 07153862
Ding, Liang; Han, Weimin
2019
Stability analysis of stationary variational and hemivariational inequalities with applications. Zbl 1431.49007
Han, Weimin; Li, Yi
2019
Numerical analysis of elliptic hemivariational inequalities for semipermeable media. Zbl 1449.65137
Han, Weimin; Huang, Ziping; Wang, Cheng; Xu, Wei
2019
Reliable and efficient a posteriori error estimates of DG methods for a simplified frictional contact problem. Zbl 1412.65193
Wang, Fei; Han, Weimin
2019
Numerical analysis of an evolutionary variational-hemivariational inequality with application to a dynamic contact problem. Zbl 1460.74070
Han, Danfu; Han, Weimin
2019
Convergence analysis of penalty based numerical methods for constrained inequality problems. Zbl 1419.65109
Han, Weimin; Sofonea, Mircea
2019
Numerical analysis of the energy-dependent radiative transfer equation. Zbl 1466.80011
Czuprynski, Kenneth; Eichholz, Joseph; Han, Weimin
2019
Numerical analysis of stationary variational-hemivariational inequalities. Zbl 1397.65265
Han, Weimin; Sofonea, Mircea; Danan, David
2018
Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics. Zbl 1404.74158
Han, Weimin
2018
Discontinuous Galerkin methods for a stationary Navier-Stokes problem with a nonlinear slip boundary condition of friction type. Zbl 1397.65272
Jing, Feifei; Han, Weimin; Yan, Wenjing; Wang, Fei
2018
A penalty method for history-dependent variational-hemivariational inequalities. Zbl 1409.65039
Sofonea, Mircea; Migórski, Stanisław; Han, Weimin
2018
A two level algorithm for an obstacle problem. Zbl 1427.65381
Wang, Fei; Eichholz, Joseph; Han, Weimin
2018
Discontinuous Galerkin methods for solving a frictional contact problem with normal compliance. Zbl 1407.65305
Xiao, Wenqiang; Wang, Fei; Han, Weimin
2018
Numerical analysis of elliptic hemivariational inequalities. Zbl 1362.74033
Han, Weimin; Sofonea, Mircea; Barboteu, Mikaël
2017
Analysis of a general dynamic history-dependent variational-hemivariational inequality. Zbl 1383.49009
Han, Weimin; Migórski, Stanisław; Sofonea, Mircea
2017
Mixed total variation and $$L^1$$ regularization method for optical tomography based on radiative transfer equation. Zbl 1369.92065
Tang, Jinping; Han, Bo; Han, Weimin; Bi, Bo; Li, Li
2017
Energy dependent radiative transfer equation and energy discretization. Zbl 1365.65280
Czuprynski, Kenneth; Han, Weimin
2017
A coupled complex boundary method for an inverse conductivity problem with one measurement. Zbl 1370.65065
Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin
2017
A variational-hemivariational inequality in contact mechanics. Zbl 1387.74090
Sofonea, Mircea; Han, Weimin; Barboteu, Mikaël
2017
Well-posedness and optimal control of a hemivariational inequality for nonstationary Stokes fluid flow. Zbl 1354.35099
Fang, Changjie; Han, Weimin
2016
A class of hemivariational inequalities for nonstationary Navier-Stokes equations. Zbl 1342.35215
Fang, Changjie; Han, Weimin; Migórski, Stanisław; Sofonea, Mircea
2016
A coupled complex boundary method for the Cauchy problem. Zbl 1348.65157
Cheng, X. L.; Gong, R. F.; Han, W.
2016
A discrete-ordinate discontinuous-streamline diffusion method for the radiative transfer equation. Zbl 1388.65158
Wang, Cheng; Sheng, Qiwei; Han, Weimin
2016
A new coupled complex boundary method for bioluminescence tomography. Zbl 1373.74095
Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin
2016
An optimal cascadic multigrid method for the radiative transfer equation. Zbl 1337.65159
Sheng, Qiwei; Wang, Cheng; Han, Weimin
2016
Numerical analysis of history-dependent variational-hemivariational inequalities with applications to contact problems. Zbl 1439.74230
Sofonea, Mircea; Han, Weimin; Migórski, Stanisław
2015
Numerical analysis of a hyperbolic hemivariational inequality arising in dynamic contact. Zbl 1312.65156
Barboteu, Mikaël; Bartosz, Krzysztof; Han, Weimin; Janiczko, Tomasz
2015
A posteriori error estimates for discontinuous Galerkin methods of obstacle problems. Zbl 1304.65163
Wang, Fei; Han, Weimin; Eichholz, Joseph; Cheng, Xiaoliang
2015
Image reconstruction for diffuse optical tomography based on radiative transfer equation. Zbl 1343.92257
Bi, Bo; Han, Bo; Han, Weimin; Tang, Jinping; Li, Li
2015
Advances in variational and hemivariational inequalities. Theory, numerical analysis, and applications. Zbl 1309.49002
Han, Weimin; Migórski, Stanisław; Sofonea, Mircea
2015
A new Kohn-Vogelius type formulation for inverse source problems. Zbl 1332.65157
Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin
2015
Discontinuous Galerkin methods for an elliptic variational inequality of fourth-order. Zbl 1325.74156
Wang, Fei; Han, Weimin; Huang, Jianguo; Zhang, Tianyi
2015
A class of variational-hemivariational inequalities with applications to frictional contact problems. Zbl 1309.47068
Han, Weimin; Migórski, Stanisław; Sofonea, Mircea
2014
Discontinuous Galerkin methods for solving a quasistatic contact problem. Zbl 1431.74106
Wang, Fei; Han, Weimin; Cheng, Xiaoliang
2014
Numerical analysis of history-dependent quasivariational inequalities with applications in contact mechanics. Zbl 1292.65074
Kazmi, Kamran; Barboteu, Mikael; Han, Weimin; Sofonea, Mircea
2014
A novel for solving inverse source problems. Zbl 1290.35324
Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin; Zheng, Xuan
2014
A fast solver for an inverse problem arising in bioluminescence tomography. Zbl 1293.92011
Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin
2014
A general framework for integration of bioluminescence tomography and diffuse optical tomography. Zbl 1308.65188
Han, Weimin; Gong, Rongfang; Cheng, Xiaoliang
2014
Plasticity. Mathematical theory and numerical analysis. 2nd ed. Zbl 1258.74002
Han, Weimin; Reddy, B. Daya
2013
A theoretical study for RTE-based parameter identification problems. Zbl 1287.45006
Tang, Jinping; Han, Weimin; Han, Bo
2013
Another view for a posteriori error estimates for variational inequalities of the second kind. Zbl 1302.65159
Wang, Fei; Han, Weimin
2013
Analysis of a viscoelastic contact problem with multivalued normal compliance and unilateral constraint. Zbl 1286.74067
Sofonea, Mircea; Han, Weimin; Barboteu, Mikael
2013
Well-posedness of the Fokker-Planck equation in a scattering process. Zbl 1311.35319
Sheng, Qiwei; Han, Weimin
2013
A numerical method for generalized Fokker-Planck equations. Zbl 1281.82022
Han, Weimin; Li, Yi; Sheng, Qiwei; Tang, Jinping
2013
Algorithms on the sparse solution of under-determined linear systems. Zbl 1299.65066
Cheng, Xiaoliang; Zheng, Xuan; Han, Weimin
2013
Spherical harmonics and approximations on the unit sphere. An introduction. Zbl 1254.41015
Atkinson, Kendall; Han, Weimin
2012
Convergence of the forward-backward sweep method in optimal control. Zbl 1258.49040
McAsey, Michael; Mou, Libin; Han, Weimin
2012
Analysis and numerical solution of a piezoelectric frictional contact problem. Zbl 1252.74048
Sofonea, Mircea; Kazmi, Kamran; Barboteu, Mikael; Han, Weimin
2012
On a family of differential approximations of the radiative transfer equation. Zbl 1310.65165
Han, Weimin; Eichholz, Joseph A.; Wang, Ge
2012
Some integral identities for spherical harmonics in an arbitrary dimension. Zbl 1359.81175
Han, Weimin; Atkinson, Kendall; Zheng, Hao
2012
Discontinuous Galerkin methods for solving the Signorini problem. Zbl 1315.74021
Wang, Fei; Han, Weimin; Cheng, Xiaoliang
2011
RTE-based bioluminescence tomography: A theoretical study. Zbl 1217.92061
Han, Weimin; Eichholz, Joseph A.; Huang, Jianguo; Lu, Jia
2011
A theoretical framework of X-ray dark-field tomography. Zbl 1233.35195
Han, Weimin; Eichholz, Joseph A.; Cheng, Xiaoliang; Wang, Ge
2011
On simplified spherical harmonics equations for the radiative transfer equation. Zbl 1458.78003
Zheng, Hao; Han, Weimin
2011
On some discretization methods for solving a linear matrix ordinary differential equation. Zbl 1306.65226
Zheng, Hao; Han, Weimin
2011
Discontinuous Galerkin methods for solving elliptic variational inequalities. Zbl 1214.65039
Wang, Fei; Han, Weimin; Cheng, Xiao-Liang
2010
Discrete-ordinate discontinuous Galerkin methods for solving the radiative transfer equation. Zbl 1215.65197
Han, Weimin; Huang, Jianguo; Eichholz, Joseph A.
2010
A new discontinuous Galerkin method for Kirchhoff plates. Zbl 1231.74416
Huang, Jianguo; Huang, Xuehai; Han, Weimin
2010
A novel approach for studies of multispectral bioluminescence tomography. Zbl 1190.92021
Gong, Rongfang; Wang, Ge; Cheng, Xiaoliang; Han, Weimin
2010
Bioluminescence tomography for media with spatially varying refractive index. Zbl 1187.92060
Gong, R. F.; Cheng, X.-L.; Han, W.
2010
Theoretical analysis and numerical realization of bioluminescence tomography. Zbl 1190.92020
Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin
2010
Theoretical numerical analysis. A functional analysis framework. 3rd ed. Zbl 1181.47078
Atkinson, Kendall; Han, Weimin
2009
Numerical solution of ordinary differential equations. Zbl 1168.65004
Atkinson, Kendall E.; Han, Weimin; Stewart, David E.
2009
Adaptive finite element solution of variational inequalities with application in contact problems. Zbl 1193.49006
Bostan, Viorel; Han, Weimin
2009
An integrated solution and analysis of bioluminescence tomography and diffuse optical tomography. Zbl 1165.92028
Han, Weimin; Cong, Wenxiang; Kazmi, Kamran; Wang, Ge
2009
Studies of a mathematical model for temperature-modulated bioluminescence tomography. Zbl 1165.65400
Han, Weimin; Shen, Haiou; Kazmi, Kamran; Cong, Wenxiang; Wang, Ge
2009
A new general mathematical framework for bioluminescence tomography. Zbl 1169.92309
Cheng, Xiaoliang; Gong, Rongfang; Han, Weimin
2008
Discrete gradient method in solid mechanics. Zbl 1159.74453
Lu, Jia; Qian, Jing; Han, Weimin
2008
Function reconstruction from noisy local averages. Zbl 1154.35463
Chen, Yu; Huang, Jianguo; Han, Weimin
2008
Bioluminescence tomography: biomedical background,mathematical theory,and numerical approximation. Zbl 1174.65046
Han, Weimin; Wang, Ge
2008
Analysis and numerical solution of a frictionless contact problem for electro-elastic-visco-plastic materials. Zbl 1173.74362
Han, Weimin; Sofonea, M.; Kazmi, Kamran
2007
Theoretical and numerical analysis on multispectral bioluminescence tomography. Zbl 1123.92015
Han, Weimin; Wang, Ge
2007
Bioluminescence tomography with optimized optical parameters. Zbl 1118.35068
Han, Weimin; Kazmi, Kamran; Cong, Wenxiang; Wang, Ge
2007
On a dynamic contact problem for elastic-viscoplastic materials. Zbl 1112.74043
Han, Weimin; Sofonea, M.
2007
A numerical method for a Cauchy problem for elliptic partial differential equations. Zbl 1126.35085
Han, Weimin; Huang, Jianguo; Kazmi, Kamran; Chen, Yu
2007
Experimental study on dynamics of an oblique-impact vibrating system of two degrees of freedom. Zbl 1177.70002
Han, W.; Hu, H. Y.; Jin, D. P.
2007
Analysis and approximation of contact problems with adhesion or damage. Zbl 1089.74004
Sofonea, Mircea; Han, Weimin; Shillor, Meir
2006
Mathematical theory and numerical analysis of bioluminescence tomography. Zbl 1106.35124
Han, Weimin; Cong, Wenxiang; Wang, Ge
2006
A posteriori error analysis for finite element solutions of a frictional contact problem. Zbl 1115.74047
Bostan, Viorel; Han, Weimin
2006
...and 74 more Documents
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#### Cited by 1,694 Authors

 108 Han, Weimin 101 Sofonea, Mircea 76 Migórski, Stanisław 38 Cheng, Xiaoliang 38 Fernández, Jose Ramon 27 Ochal, Anna 24 Zeng, Shengda 23 Shillor, Meir 20 Barboteu, Mikaël 18 Matei, Andaluzia Cristina 18 Xiao, Yibin 17 Gong, Rongfang 16 Bartosz, Krzysztof 16 Roubíček, Tomáš 15 Chen, Jiun-Shyan 15 Li, Xiaolin 15 Reddy, B. Dayanand 15 Rodríguez-Arós, Ángel D. 14 Liu, Wing Kam 13 Stefanelli, Ulisse 12 Campo, Marco A. 12 Carstensen, Carsten 12 Liu, Zhenhai 11 Atkinson, Kendall Eugene 11 Chau, Oanh 11 Oh, Hae-Soo 11 Viaño, Juan Manuel 10 Hansen, Olaf 10 Huang, Nan-Jing 10 Wang, Dongdong 10 Wohlmuth, Barbara I. 9 Dehghan Takht Fooladi, Mehdi 9 Huang, Xuehai 9 Pasadas, Miguel 9 Touzaline, Arezki 8 Chien, David 8 Copetti, Maria Inês M. 8 Diogo, Teresa 8 Hauck, Cory D. 8 Huang, Jianguo 8 Kalita, Piotr 8 Zeng, Biao 7 Danan, David 7 Gudi, Thirupathi 7 Hild, Patrick 7 Neff, Patrizio 7 Pătrulescu, Flavius-Olimpiu 7 Rabczuk, Timon 7 Selmani, Lynda 7 Valdman, Jan 7 Wang, Cheng 6 Bez, Neal 6 Cheng, Rongjun 6 Chi, Sheng-Wei 6 Ding, Rui 6 Djoko, Jules K. 6 Ebobisse, François Bille 6 Gasiński, Leszek 6 Guebbaï, Hamza 6 Han, Jiangfeng 6 Jeong, Jae Woo 6 Jing, Feifei 6 Khan, Akhtar Ali 6 Kim, June Gi 6 Kuttler, Kenneth L. jun. 6 Martínez, Rebeca 6 Mielke, Alexander 6 Rossi, Riccarda 6 Selmani, Mohamed 6 Simkins, Daniel Craig jun. 6 Sysala, Stanislav 6 Zhang, Ye 5 Ahn, Jeongho 5 Alduncin, Gonzalo 5 Andrews, Kevin T. 5 Azhmyakov, Vadim 5 Banerjee, Uday 5 Bonetti, Elena 5 Bonfanti, Giovanna 5 Čermák, Martin 5 Chełmiński, Krzysztof 5 Chen, Wenbin 5 Cocou, Marius 5 Eichholz, Joseph A. 5 Han, Bo 5 Hu, Hsin-Yun 5 Jureczka, Michal 5 Kasri, Abderrezak 5 Kazmi, Kamran 5 Kouibia, Abdelouahed 5 Lima, Pedro Miguel 5 Lu, Hongsheng 5 Lu, Jia 5 McBride, Andrew T. 5 Miehe, Christian 5 Pączka, Dariusz 5 Repin, Sergeĭ Igorevich 5 Salehi, Rezvan 5 Shen, Quan 5 Sheng, Qiwei ...and 1,594 more Authors
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#### Cited in 274 Serials

 114 Computer Methods in Applied Mechanics and Engineering 87 Journal of Computational and Applied Mathematics 52 Applied Mathematics and Computation 49 Computers & Mathematics with Applications 46 Journal of Mathematical Analysis and Applications 46 Computational Mechanics 42 Applied Numerical Mathematics 33 International Journal for Numerical Methods in Engineering 31 Applicable Analysis 29 Nonlinear Analysis. Real World Applications 26 Journal of Scientific Computing 23 ZAMP. Zeitschrift für angewandte Mathematik und Physik 21 Numerische Mathematik 20 Journal of Computational Physics 19 Engineering Analysis with Boundary Elements 17 Numerical Functional Analysis and Optimization 17 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 17 Mathematics and Mechanics of Solids 16 Inverse Problems 16 Numerical Methods for Partial Differential Equations 15 Mathematics of Computation 15 Numerical Algorithms 14 Mathematical Methods in the Applied Sciences 14 Applied Mathematical Modelling 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Advances in Computational Mathematics 12 Computational and Applied Mathematics 11 SIAM Journal on Numerical Analysis 11 Applied Mathematics Letters 11 Mediterranean Journal of Mathematics 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 11 Evolution Equations and Control Theory 10 Continuum Mechanics and Thermodynamics 10 Communications in Nonlinear Science and Numerical Simulation 10 Inverse Problems in Science and Engineering 9 International Journal of Computer Mathematics 9 Journal of Elasticity 9 SIAM Journal on Mathematical Analysis 8 Applied Mathematics and Optimization 8 BIT 8 Journal of Optimization Theory and Applications 8 Optimization 8 Mathematical and Computer Modelling 8 Applications of Mathematics 8 SIAM Journal on Scientific Computing 8 Journal of Mathematical Chemistry 7 International Journal of Engineering Science 7 Applied Mathematics and Mechanics. (English Edition) 7 European Journal of Applied Mathematics 7 Applicationes Mathematicae 7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 7 Discrete and Continuous Dynamical Systems. Series B 6 Japan Journal of Industrial and Applied Mathematics 6 Inverse Problems and Imaging 5 Archive for Rational Mechanics and Analysis 5 Mathematics and Computers in Simulation 5 Computer Aided Geometric Design 5 Journal of Integral Equations and Applications 5 Computational Optimization and Applications 5 Calculus of Variations and Partial Differential Equations 5 Applied and Computational Harmonic Analysis 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 European Journal of Mechanics. A. Solids 5 International Journal for Numerical Methods in Biomedical Engineering 4 International Journal for Numerical Methods in Fluids 4 Journal of Engineering Mathematics 4 Journal of Mathematical Biology 4 Journal of Mathematical Physics 4 Journal of the Mechanics and Physics of Solids 4 Journal of Differential Equations 4 Quarterly of Applied Mathematics 4 SIAM Journal on Control and Optimization 4 Acta Applicandae Mathematicae 4 Constructive Approximation 4 Communications in Numerical Methods in Engineering 4 Mathematical Problems in Engineering 4 Archives of Computational Methods in Engineering 4 Journal of Numerical Mathematics 4 Journal of Applied Mathematics and Computing 4 Electronic Journal of Statistics 4 Discrete and Continuous Dynamical Systems. Series S 3 Acta Mechanica 3 Transport Theory and Statistical Physics 3 Mechanics Research Communications 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Applied Mathematics 3 Applied Mathematics. Series B (English Edition) 3 Discrete and Continuous Dynamical Systems 3 Differential Equations and Dynamical Systems 3 Abstract and Applied Analysis 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 International Journal of Applied Mathematics and Computer Science 3 Engineering Computations 3 Mathematical Modelling and Analysis 3 Computational Methods in Applied Mathematics 3 Journal of Applied Mathematics 3 Multiscale Modeling & Simulation 3 International Journal of Computational Methods 3 Sibirskie Èlektronnye Matematicheskie Izvestiya 3 Journal of Industrial and Management Optimization ...and 174 more Serials
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#### Cited in 46 Fields

 705 Mechanics of deformable solids (74-XX) 694 Numerical analysis (65-XX) 423 Partial differential equations (35-XX) 310 Calculus of variations and optimal control; optimization (49-XX) 138 Operator theory (47-XX) 84 Fluid mechanics (76-XX) 74 Integral equations (45-XX) 62 Biology and other natural sciences (92-XX) 52 Ordinary differential equations (34-XX) 45 Approximations and expansions (41-XX) 38 Operations research, mathematical programming (90-XX) 30 Functional analysis (46-XX) 30 Probability theory and stochastic processes (60-XX) 28 Statistical mechanics, structure of matter (82-XX) 27 Global analysis, analysis on manifolds (58-XX) 27 Optics, electromagnetic theory (78-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 23 Special functions (33-XX) 19 Systems theory; control (93-XX) 15 Computer science (68-XX) 15 Classical thermodynamics, heat transfer (80-XX) 13 Real functions (26-XX) 13 Statistics (62-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Quantum theory (81-XX) 10 Potential theory (31-XX) 10 Mechanics of particles and systems (70-XX) 10 Astronomy and astrophysics (85-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Information and communication theory, circuits (94-XX) 8 Integral transforms, operational calculus (44-XX) 8 Geophysics (86-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Differential geometry (53-XX) 4 Combinatorics (05-XX) 4 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 Abstract harmonic analysis (43-XX) 1 Algebraic geometry (14-XX) 1 Convex and discrete geometry (52-XX)