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## Xu, Jinchao

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 Author ID: xu.jinchao Published as: Xu, Jinchao; Xu, J.; Xu, Jin-chao; Xu, Jin-Chao; Xu, Jingchao; Xu, JinChao Homepage: http://www.math.psu.edu/xu/ External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 195 Publications since 1982, including 6 Books
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#### Co-Authors

 17 single-authored 23 Zikatanov, Ludmil T. 15 Chen, Long 14 Hu, Xiaozhe 14 Shu, Shi 13 Zhang, Chensong 12 Sun, Pengtao 11 Bramble, James H. 9 Lee, Youngju 8 Zhou, Aihui 7 Bank, Randolph E. 7 Pasciak, Joseph E. 7 Wu, Shuonan 6 Wu, Jinbiao 5 Hong, Qingguo 5 Huang, Yunqing 5 Wang, Ming 4 He, Juncai 4 Hu, Kaibo 4 Wu, Shuhong 4 Xue, Guangri 4 Zhang, Shuo 4 Zhong, Liuqiang 4 Zhu, Yunrong 3 Bacuta, Constantin 3 Feng, Chunsheng 3 Holst, Michael J. 3 Hu, Jun 3 Liu, Chun 3 Mu, Mo 3 Nochetto, Ricardo Horacio 3 Shi, Zhongci 3 Wang, Chaoyang 3 Widlund, Olof B. 3 Wittum, Gabriel 3 Xiao, Yingxiong 3 Xie, Xiaoping 3 Yang, Kai 3 Zhang, Lixiang 3 Zheng, Bin 2 Bousquet, Arthur 2 Cai, Mingchao 2 Chan, Tony Fan-Cheong 2 Gong, Shihua 2 He, Yinnian 2 Hiptmair, Ralf 2 Kim, Hwanho 2 Knyazev, Andrew V. 2 Kornhuber, Ralf 2 Li, Zheng 2 Lin, Qun 2 Ma, Yicong 2 Mehrmann, Volker 2 Metti, Maximilian S. 2 Ming, Wang 2 Tai, Xuecheng 2 Vassilevski, Panayot Spirov 2 Wang, Junping 2 Ying, Longan 1 Ayuso de Dios, Blanca 1 Babuška, Ivo 1 Brezzi, Franco 1 Caflisch, Russel E. 1 Cai, Xiao-Chuan 1 Carsel, Robert 1 Chen, Luoping 1 Cheng, Hwai-Ping 1 Cheng, Jing-Ru C. 1 Cho, Durkbin 1 Cui, Tao 1 Dai, Xiaoying 1 Glowinski, Roland 1 Grasedyck, Lars 1 Heimsund, Bjørn-Ove 1 Heumann, Holger 1 Hoppe, Ronald H. W. 1 Hu, Qiya 1 Hu, Yucheng 1 Huang, Xuehai 1 Jia, Jiwei 1 Jia, Xiaodong 1 Jin, Jicheng 1 Keyes, David Elliot 1 Kim, Kyungjoo 1 Kolev, Tzanio V. 1 Kraus, Johannes K. 1 Laguna, Pablo 1 Li, Jian 1 Li, Kun 1 Li, Ming-Hsu 1 Li, Qiaoyun 1 Li, Yukun 1 Liu, Chunmei 1 Marini, Luisa Donatella 1 Marion, Martine 1 Maxey, Martin R. 1 Osborn, John E. 1 Parks, Michael L. 1 Perego, Mauro 1 Périaux, Jacques F. 1 Pironneau, Olivier ...and 40 more Co-Authors
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#### Serials

 28 Mathematics of Computation 16 Numerische Mathematik 15 Journal of Computational Mathematics 14 SIAM Journal on Numerical Analysis 7 Journal of Computational Physics 7 Journal of Scientific Computing 6 Computer Methods in Applied Mechanics and Engineering 6 SIAM Journal on Scientific Computing 5 Numerical Linear Algebra with Applications 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Computing and Visualization in Science 4 Science China. Mathematics 3 Advances in Computational Mathematics 3 Lecture Notes in Computational Science and Engineering 2 Computing 2 Journal of Computational and Applied Mathematics 2 Mathematica Numerica Sinica 2 SIAM Journal on Matrix Analysis and Applications 2 SIAM Review 2 Journal of Numerical Mathematics 2 Oberwolfach Reports 2 Communications in Computational Physics 2 Numerical Mathematics: Theory, Methods and Applications 1 Classical and Quantum Gravity 1 Computers and Fluids 1 IMA Journal of Numerical Analysis 1 BIT 1 International Journal for Numerical Methods in Engineering 1 Natural Science Journal of Xiangtan University 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of the American Mathematical Society 1 Neural Networks 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 SIAM Journal on Applied Mathematics 1 Computational Optimization and Applications 1 Methods and Applications of Analysis 1 Journal on Numerical Methods and Computer Applications 1 Journal of Applied Mechanics and Technical Physics 1 Computational Methods in Applied Mathematics 1 Multiscale Modeling & Simulation 1 Journal of Tongji University. Natural Science 1 Acta Numerica 1 International Journal of Numerical Analysis and Modeling 1 Contemporary Mathematics 1 Handbook of Numerical Analysis 1 Inverse Problems and Imaging 1 Advances in Applied Mathematics and Mechanics 1 Research in the Mathematical Sciences
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#### Fields

 176 Numerical analysis (65-XX) 100 Partial differential equations (35-XX) 38 Fluid mechanics (76-XX) 18 Mechanics of deformable solids (74-XX) 11 Optics, electromagnetic theory (78-XX) 8 General and overarching topics; collections (00-XX) 4 Ordinary differential equations (34-XX) 4 Computer science (68-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Geophysics (86-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

172 Publications have been cited 4,540 times in 2,533 Documents Cited by Year
Iterative methods by space decomposition and subspace correction. Zbl 0788.65037
Xu, Jinchao
1992
Two-grid discretization techniques for linear and nonlinear PDEs. Zbl 0860.65119
Xu, Jinchao
1996
A novel two-grid method for semilinear elliptic equations. Zbl 0795.65077
Xu, Jinchao
1994
Parallel multilevel preconditioners. Zbl 0703.65076
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
1990
A two-grid method of a mixed Stokes-Darcy model for coupling fluid flow with porous media flow. Zbl 1146.76031
Mu, Mo; Xu, Jinchao
2007
A two-grid discretization scheme for eigenvalue problems. Zbl 0959.65119
Xu, Jinchao; Zhou, Aihui
2001
The method of alternating projections and the method of subspace corrections in Hilbert space. Zbl 0999.47015
Xu, Jinchao; Zikatanov, Ludmil
2002
Nodal auxiliary space preconditioning in H(curl) and H(div) spaces. Zbl 1153.78006
Hiptmair, Ralf; Xu, Jinchao
2007
Local and parallel finite element algorithms based on two-grid discretizations. Zbl 0948.65122
Xu, Jinchao; Zhou, Aihui
2000
A monotone finite element scheme for convection-diffusion equations. Zbl 0931.65111
Xu, Jinchao; Zikatanov, Ludmil
1999
Asymptotically exact a posteriori error estimators. I: Grids with superconvergence. Zbl 1058.65116
Bank, Randolph E.; Xu, Jinchao
2003
Some observations on Babuška and Brezzi theories. Zbl 1028.65115
Xu, Jinchao; Zikatanov, Ludmil
2003
Error estimates on a new nonlinear Galerkin method based on two-grid finite elements. Zbl 0853.65092
Marion, Martine; Xu, Jinchao
1995
Analysis of linear and quadratic simplicial finite volume methods for elliptic equations. Zbl 1169.65110
Xu, Jinchao; Zou, Qingsong
2009
Some nonoverlapping domain decomposition methods. Zbl 0913.65115
Xu, Jinchao; Zou, Jun
1998
Convergence estimates for multigrid algorithms without regularity assumptions. Zbl 0727.65101
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao
1991
Numerical solution to a mixed Navier-Stokes/Darcy model by the two-grid approach. Zbl 1213.76131
Cai, Mingchao; Mu, Mo; Xu, Jinchao
2009
Analysis of recovery type a posteriori error estimators for mildly structured grids. Zbl 1050.65103
Xu, Jinchao; Zhang, Zhimin
2004
Convergence estimates for product iterative methods with applications to domain decomposition. Zbl 0754.65085
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao
1991
Some estimates for a weighted $$L^ 2$$ projection. Zbl 0722.65057
Bramble, James H.; Xu, Jinchao
1991
Convergence and optimal complexity of adaptive finite element eigenvalue computations. Zbl 1159.65090
Dai, Xiaoying; Xu, Jinchao; Zhou, Aihui
2008
The auxiliary space method and optimal multigrid preconditioning techniques for unstructured grids. Zbl 0857.65129
Xu, J.
1996
Uniformly-stable finite element methods for Darcy-Stokes-Brinkman models. Zbl 1174.76013
Xie, Xiaoping; Xu, Jinchao; Xue, Guangri
2008
A new class of iterative methods for nonselfadjoint or indefinite problems. Zbl 0756.65050
Xu, Jinchao
1992
The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms. Zbl 0718.65081
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
1991
Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems. Zbl 0990.65128
Xu, Jinchao; Zhou, Aihui
2001
Local and parallel finite element algorithms for the Stokes problem. Zbl 1145.65097
He, Yinnian; Xu, Jinchao; Zhou, Aihui; Li, Jian
2008
Asymptotically exact a posteriori error estimators. II: General unstructured grids. Zbl 1058.65117
Bank, Randolph E.; Xu, Jinchao
2003
The Morley element for fourth order elliptic equations in any dimensions. Zbl 1092.65103
Ming, Wang; Xu, Jinchao
2006
Local and parallel finite element algorithms for the Navier-Stokes problem. Zbl 1093.76035
He, Yinnian; Xu, Jinchao; Zhou, Aihui
2006
Global and uniform convergence of subspace correction methods for some convex optimization problems. Zbl 0985.65065
Tai, Xue-Cheng; Xu, Jinchao
2002
Parallel multilevel preconditioners. Zbl 0725.65095
Bramble, J. H.; Pasciak, J. E.; Xu, J.
1990
Convergence and optimality of adaptive mixed finite element methods. Zbl 1198.65211
Chen, Long; Holst, Michael; Xu, Jinchao
2009
Local and parallel finite element algorithms for eigenvalue problems. Zbl 1015.65060
Xu, Jinchao; Zhou, Aihui
2002
Preconditioning techniques for a mixed Stokes/Darcy model in porous medium applications. Zbl 1172.76023
Cai, Mingchao; Mu, Mo; Xu, Jinchao
2009
Optimal anisotropic meshes for minimizing interpolation errors in $$L^p$$-norms. Zbl 1106.41013
Chen, Long; Sun, Pengtao; Xu, Jingchao
2007
The finite element approximation of the nonlinear Poisson-Boltzmann equation. Zbl 1152.65478
Chen, Long; Holst, Michael J.; Xu, Jinchao
2007
Uniform convergent multigrid methods for elliptic problems with strongly discontinuous coefficients. Zbl 1151.65097
Xu, Jinchao; Zhu, Yunrong
2008
Galerkin-wavelet methods for two-point boundary value problems. Zbl 0771.65050
Xu, Jin-Chao; Shann, Wei-Chang
1992
A new class of Zienkiewicz-type non-conforming element in any dimensions. Zbl 1118.65124
Wang, Ming; Shi, Zhong-ci; Xu, Jinchao
2007
Superconvergence of quadratic finite elements on mildly structured grids. Zbl 1195.65193
Huang, Yunqing; Xu, Jinchao
2008
Some $$n$$-rectangle nonconforming elements for fourth order elliptic equations. Zbl 1142.65451
Wang, Ming; Shi, Zhongci; Xu, Jinchao
2007
An algorithm for coarsening unstructured meshes. Zbl 0857.65034
Bank, Randolph E.; Xu, Jinchao
1996
Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations. Zbl 1263.78012
Zhong, Liuqiang; Chen, Long; Shu, Shi; Wittum, Gabriel; Xu, Jinchao
2012
Optimal Delaunay triangulations. Zbl 1048.65020
Chen, Long; Xu, Jinchao
2004
Minimal finite element spaces for $$2m$$-th-order partial differential equations in $$\mathbb{R}^n$$. Zbl 1264.65199
Wang, Ming; Xu, Jinchao
2013
The analysis of multigrid algorithms for nonsymmetric and indefinite elliptic problems. Zbl 0699.65075
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
1988
Linear finite elements with high accuracy. Zbl 0577.65094
Lin, Qun; Xu, Jinchao
1985
An agglomeration multigrid method for unstructured grids. Zbl 0909.65102
Chan, Tony F.; Xu, Jinchao; Zikatanov, Ludmil
1998
New formulations, positivity preserving discretizations and stability analysis for non-Newtonian flow models. Zbl 1176.76068
Lee, Young-Ju; Xu, Jinchao
2006
Regularity estimates for elliptic boundary value problems in Besov spaces. Zbl 1031.65133
Bacuta, Constantin; Bramble, James H.; Xu, Jinchao
2003
Modified Morley element method for a fourth order elliptic singular perturbation problem. Zbl 1102.65118
Wang, Ming; Xu, Jin-chao; Hu, Yucheng
2006
Optimal multilevel methods for $$H$$(grad), $$H$$(curl), and $$H$$(div) systems on graded and unstructured grids. Zbl 1193.65209
Xu, Jinchao; Chen, Long; Nochetto, Ricardo H.
2009
Stable finite element methods preserving $$\nabla \cdot \boldsymbol{B}=0$$ exactly for MHD models. Zbl 1381.76174
Hu, Kaibo; Ma, Yicong; Xu, Jinchao
2017
A two-grid discretization method for decoupling systems of partial differential equations. Zbl 1119.65117
Jin, Jicheng; Shu, Shi; Xu, Jinchao
2006
On an energy minimizing basis for algebraic multigrid methods. Zbl 1077.65130
Xu, Jinchao; Zikatanov, Ludmil
2004
Superconvergence of the gradient in piecewise linear finite-element approximation to a parabolic problem. Zbl 0678.65079
Thomée, Vidar; Xu, Jin-Chao; Zhang, Nai-Ying
1989
Lower bounds of the discretization error for piecewise polynomials. Zbl 1280.65118
Lin, Qun; Xie, Hehu; Xu, Jinchao
2014
Convergence and optimality of the adaptive Morley element method. Zbl 1255.65212
Hu, Jun; Shi, Zhongci; Xu, Jinchao
2012
Algebraic multigrid methods. Zbl 1378.65182
Xu, Jinchao; Zikatanov, Ludmil
2017
Robust preconditioners for incompressible MHD models. Zbl 1349.76629
Ma, Yicong; Hu, Kaibo; Hu, Xiaozhe; Xu, Jinchao
2016
Superconvergent derivative recovery for Lagrange triangular elements of degree $$p$$ on unstructured grids. Zbl 1156.65091
Bank, Randolph E.; Xu, Jinchao; Zheng, Bin
2007
Optimal error estimates for Nédélec edge elements for time-harmonic Maxwell’s equations. Zbl 1212.65467
Zhong, Liuqiang; Shu, Shi; Wittum, Gabriel; Xu, Jinchao
2009
A multigrid method based on graph matching for convection-diffusion equations. Zbl 1071.65167
Kim, HwanHo; Xu, Jinchao; Zikatanov, Ludmil
2003
An introduction to multilevel methods. Zbl 0903.65095
Xu, Jinchao
1997
Nonconforming tetrahedral finite elements for fourth order elliptic equations. Zbl 1125.65105
Ming, Wang; Xu, Jinchao
2007
Robust subspace correction methods for nearly singular systems. Zbl 1151.65096
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
2007
A local post-processing technique for improving the accuracy in mixed finite-element approximations. Zbl 0688.65061
Bramble, James H.; Xu, Jinchao
1989
The method of subspace corrections. Zbl 0983.65133
Xu, Jinchao
2001
Numerical studies of adaptive finite element methods for two dimensional convection-dominated problems. Zbl 1203.65261
Sun, Pengtao; Chen, Long; Xu, Jinchao
2010
A preconditioned GMRES method for nonsymmetric or indefinite problems. Zbl 0766.65034
Xu, Jinchao; Cai, Xiao-Chuan
1992
Phase field model of thermo-induced Marangoni effects in the mixtures and its numerical simulations with mixed finite element method. Zbl 1364.76097
Sun, Pengtao; Liu, Chun; Xu, Jinchao
2009
A conforming finite element method for overlapping and nonmatching grids. Zbl 1019.65090
Huang, Yunqing; Xu, Jinchao
2003
Two-grid methods for time-harmonic Maxwell equations. Zbl 1289.78014
Zhong, Liuqiang; Shu, Shi; Wang, Junxian; Xu, J.
2013
A nonconforming finite element method for fourth order curl equations in $$\mathbb R^3$$. Zbl 1227.78024
Zheng, Bin; Hu, Qiya; Xu, Jinchao
2011
Optimal multilevel methods for graded bisection grids. Zbl 1235.65144
Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao
2012
Stability and accuracy of adapted finite element methods for singularly perturbed problems. Zbl 1146.65059
Chen, Long; Xu, Jinchao
2008
Convergence and optimality of the adaptive nonconforming linear element method for the Stokes problem. Zbl 1273.76274
Hu, Jun; Xu, Jinchao
2013
Energetically stable discretizations for charge transport and electrokinetic models. Zbl 1351.78040
Metti, Maximilian S.; Xu, Jinchao; Liu, Chun
2016
Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains. Zbl 1050.65108
Bacuta, C.; Bramble, J. H.; Xu, J.
2003
A discontinuous Galerkin method for the fourth-order curl problem. Zbl 1289.76053
Hong, Qingguo; Hu, Jun; Shu, Shi; Xu, Jinchao
2012
A scalable consistent second-order SPH solver for unsteady low Reynolds number flows. Zbl 1423.76372
Trask, Nathaniel; Maxey, Martin; Kim, Kyungjoo; Perego, Mauro; Parks, Michael L.; Yang, Kai; Xu, Jinchao
2015
On the convergence of iterative methods for semidefinite linear systems. Zbl 1122.65033
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
2006
On the stability and accuracy of partially and fully implicit schemes for phase field modeling. Zbl 1440.80003
Xu, Jinchao; Li, Yukun; Wu, Shuonan; Bousquet, Arthur
2019
A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations. Zbl 1338.76054
Hong, Qingguo; Kraus, Johannes; Xu, Jinchao; Zikatanov, Ludmil
2016
A simple preconditioner for a discontinuous Galerkin method for the Stokes problem. Zbl 1299.76128
Ayuso De Dios, Blanca; Brezzi, Franco; Marini, L. Donatella; Xu, Jinchao; Zikatanov, Ludmil
2014
An introduction to multigrid convergence theory. Zbl 0938.65142
Xu, Jinchao
1997
Optimal solvers for fourth-order PDEs discretized on unstructured grids. Zbl 1293.65160
Zhang, Shuo; Xu, Jinchao
2014
A sharp convergence estimate for the method of subspace corrections for singular systems of equations. Zbl 1137.65058
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
2008
A new adaptive local mesh refinement algorithm and its application on fourth order thin film flow problem. Zbl 1123.76343
Sun, Pengtao; Russell, Robert D.; Xu, Jinchao
2007
A unified study of continuous and discontinuous Galerkin methods. Zbl 1412.65214
Hong, Qingguo; Wang, Fei; Wu, Shuonan; Xu, Jinchao
2019
Preconditioning the Poincaré-Steklov operator by using Green’s function. Zbl 0854.65100
Xu, Jinchao; Zhang, Sheng
1997
Fast numerical simulation of two-phase transport model in the cathode of a polymer electrolyte fuel cell. Zbl 1364.82058
Sun, Pengtao; Xue, Guangri; Wang, Chaoyang; Xu, Jinchao
2009
The hierarchical basis multigrid method and incomplete LU decomposition. Zbl 0817.65103
Bank, Randolph E.; Xu, Jinchao
1994
Counterexamples concerning a weighted $$L^ 2$$ projection. Zbl 0738.65085
Xu, Jinchao
1991
On the well-posedness of a mathematical model for lithium-ion battery systems. Zbl 1135.35300
Wu, Jinbiao; Xu, Jinchao; Zou, Henghui
2006
New estimates for the rate of convergence of the method of subspace corrections. Zbl 1174.65354
Cho, Durkbin; Xu, Jinchao; Zikatanov, Ludmil
2008
A generalization of the vertex-centered finite volume scheme to arbitrary high order. Zbl 1207.65128
Vogel, Andreas; Xu, Jinchao; Wittum, Gabriel
2010
An algebraic multigrid method for higher-order finite element discretizations. Zbl 1127.65092
Shu, S.; Sun, D.; Xu, J.
2006
Multilevel homotopic adaptive finite element methods for convection dominated problems. Zbl 1067.65122
Chen, Long; Sun, Pengtao; Xu, Jinchao
2005
Uniform stability and error analysis for some discontinuous Galerkin methods. Zbl 07366097
Hong, Qingguo; Xu, Jinchao
2021
High-order extended finite element methods for solving interface problems. Zbl 1442.74243
Xiao, Yuanming; Xu, Jinchao; Wang, Fei
2020
A mixed discontinuous Galerkin method for linear elasticity with strongly imposed symmetry. Zbl 1435.65211
Wang, Fei; Wu, Shuonan; Xu, Jinchao
2020
ReLU deep neural networks and linear finite elements. Zbl 1463.68072
He, Juncai; Li, Lin; Xu, Jinchao; Zheng, Chunyue
2020
On the stability and accuracy of partially and fully implicit schemes for phase field modeling. Zbl 1440.80003
Xu, Jinchao; Li, Yukun; Wu, Shuonan; Bousquet, Arthur
2019
A unified study of continuous and discontinuous Galerkin methods. Zbl 1412.65214
Hong, Qingguo; Wang, Fei; Wu, Shuonan; Xu, Jinchao
2019
Nonconforming finite element spaces for $$2m$$th order partial differential equations on $$\mathbb {R}^n$$ simplicial grids when $$m=n+1$$. Zbl 1407.65304
Wu, Shuonan; Xu, Jinchao
2019
New hybridized mixed methods for linear elasticity and optimal multilevel solvers. Zbl 1412.65211
Gong, Shihua; Wu, Shuonan; Xu, Jinchao
2019
Structure-preserving finite element methods for stationary MHD models. Zbl 1405.65151
Hu, Kaibo; Xu, Jinchao
2019
Mgnet: A unified framework of multigrid and convolutional neural network. Zbl 07089584
He, Juncai; Xu, Jinchao
2019
Newton solvers for drift-diffusion and electrokinetic equations. Zbl 1448.65151
Bousquet, Arthur; Hu, Xiaozhe; Metti, Maximilian S.; Xu, Jinchao
2018
Stable finite element methods preserving $$\nabla \cdot \boldsymbol{B}=0$$ exactly for MHD models. Zbl 1381.76174
Hu, Kaibo; Ma, Yicong; Xu, Jinchao
2017
Algebraic multigrid methods. Zbl 1378.65182
Xu, Jinchao; Zikatanov, Ludmil
2017
Multiphase Allen-Cahn and Cahn-Hilliard models and their discretizations with the effect of pairwise surface tensions. Zbl 1380.65208
Wu, Shuonan; Xu, Jinchao
2017
Interior penalty mixed finite element methods of any order in any dimension for linear elasticity with strongly symmetric stress tensor. Zbl 1457.65222
Wu, Shuonan; Gong, Shihua; Xu, Jinchao
2017
An error-resilient redundant subspace correction method. Zbl 1364.65275
Cui, Tao; Xu, Jinchao; Zhang, Chen-Song
2017
Numerical studies of a class of linear solvers for fine-scale petroleum reservoir simulation. Zbl 1364.76157
Li, Zheng; Wu, Shuhong; Zhang, Chen-Song; Xu, Jinchao; Feng, Chunsheng; Hu, Xiaozhe
2017
Analytical decoupling techniques for fully implicit reservoir simulation. Zbl 1375.76187
Qiao, Changhe; Wu, Shuhong; Xu, Jinchao; Zhang, Chen-Song
2017
Robust preconditioners for incompressible MHD models. Zbl 1349.76629
Ma, Yicong; Hu, Kaibo; Hu, Xiaozhe; Xu, Jinchao
2016
Energetically stable discretizations for charge transport and electrokinetic models. Zbl 1351.78040
Metti, Maximilian S.; Xu, Jinchao; Liu, Chun
2016
A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations. Zbl 1338.76054
Hong, Qingguo; Kraus, Johannes; Xu, Jinchao; Zikatanov, Ludmil
2016
A two-grid SA-AMG convergence bound that improves when increasing the polynomial degree. Zbl 1413.65062
Hu, Xiaozhe; Vassilevski, Panayot S.; Xu, Jinchao
2016
A nearly optimal multigrid method for general unstructured grids. Zbl 1356.65241
Grasedyck, Lars; Wang, Lu; Xu, Jinchao
2016
Optimal finite element methods for interface problems. Zbl 1339.65224
Xu, Jinchao; Zhang, Shuo
2016
Fast multilevel solvers for a class of discrete fourth order parabolic problems. Zbl 1410.65386
Zheng, Bin; Chen, Luoping; Hu, Xiaozhe; Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao
2016
Multilevel preconditioners for reaction-diffusion problems with discontinuous coefficients. Zbl 1353.65131
Kolev, Tzanio V.; Xu, Jinchao; Zhu, Yunrong
2016
Modeling and simulations for fluid and rotating structure interactions. Zbl 1439.74119
Yang, Kai; Sun, Pengtao; Wang, Lu; Xu, Jinchao; Zhang, Lixiang
2016
A scalable consistent second-order SPH solver for unsteady low Reynolds number flows. Zbl 1423.76372
Trask, Nathaniel; Maxey, Martin; Kim, Kyungjoo; Perego, Mauro; Parks, Michael L.; Yang, Kai; Xu, Jinchao
2015
A cascadic multigrid algorithm for computing the Fiedler vector of graph Laplacians. Zbl 1340.65262
Urschel, John C.; Xu, Jinchao; Hu, Xiaozhe; Zikatanov, Ludmil T.
2015
Well-posedness and robust preconditioners for discretized fluid-structure interaction systems. Zbl 1423.74936
Xu, Jinchao; Yang, Kai
2015
A multigrid solver based on distributive smoother and residual overweighting for Oseen problems. Zbl 1363.65155
Chen, Long; Hu, Xiaozhe; Wang, Ming; Xu, Jinchao
2015
Lower bounds of the discretization error for piecewise polynomials. Zbl 1280.65118
Lin, Qun; Xie, Hehu; Xu, Jinchao
2014
A simple preconditioner for a discontinuous Galerkin method for the Stokes problem. Zbl 1299.76128
Ayuso De Dios, Blanca; Brezzi, Franco; Marini, L. Donatella; Xu, Jinchao; Zikatanov, Ludmil
2014
Optimal solvers for fourth-order PDEs discretized on unstructured grids. Zbl 1293.65160
Zhang, Shuo; Xu, Jinchao
2014
Full Eulerian finite element method of a phase field model for fluid-structure interaction problem. Zbl 1391.76359
Sun, Pengtao; Xu, Jinchao; Zhang, Lixiang
2014
On adaptive Eulerian-Lagrangian method for linear convection-diffusion problems. Zbl 1335.65081
Hu, Xiaozhe; Lee, Young-Ju; Xu, Jinchao; Zhang, Chen-Song
2014
Numerical study of geometric multigrid methods on CPU-GPU heterogeneous computers. Zbl 1305.78016
Feng, Chunsheng; Shu, Shi; Xu, Jinchao; Zhang, Chen-Song
2014
A multi-stage preconditioner for the black oil model and its OpenMP implementation. Zbl 1455.76179
Feng, Chunsheng; Shu, Shi; Xu, Jinchao; Zhang, Chen-Song
2014
Minimal finite element spaces for $$2m$$-th-order partial differential equations in $$\mathbb{R}^n$$. Zbl 1264.65199
Wang, Ming; Xu, Jinchao
2013
Two-grid methods for time-harmonic Maxwell equations. Zbl 1289.78014
Zhong, Liuqiang; Shu, Shi; Wang, Junxian; Xu, J.
2013
Convergence and optimality of the adaptive nonconforming linear element method for the Stokes problem. Zbl 1273.76274
Hu, Jun; Xu, Jinchao
2013
Comparative convergence analysis of nonlinear AMLI-cycle multigrid. Zbl 1276.65089
Hu, Xiaozhe; Vassilevski, Panayot S.; Xu, Jinchao
2013
Combined preconditioning with applications in reservoir simulation. Zbl 1426.76269
Hu, Xiaozhe; Wu, Shuhong; Wu, Xiao-Hui; Xu, Jinchao; Zhang, Chen-Song; Zhang, Shiquan; Zikatanov, Ludmil
2013
A parallel auxiliary grid algebraic multigrid method for graphic processing units. Zbl 1275.65021
Wang, Lu; Hu, Xiaozhe; Cohen, Jonathan; Xu, Jinchao
2013
Application of auxiliary space preconditioning in field-scale reservoir simulation. Zbl 1305.86001
Hu, Xiaozhe; Xu, Jinchao; Zhang, Chensong
2013
Domain decomposition methods in science and engineering XX. Selected papers based on the presentations of the 20th international conference on domain decomposition, San Diego, CA, USA, February 9–13, 2011. Zbl 1416.65007
Bank, Randolph; Holst, Michael; Widlund, Olof; Xu, Jinchao
2013
Analysis of a two-level method for anisotropic diffusion equations on aligned and nonaligned grids. Zbl 1313.65324
Yu, Guozhu; Xu, Jinchao; Zikatanov, Ludmil T.
2013
Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations. Zbl 1263.78012
Zhong, Liuqiang; Chen, Long; Shu, Shi; Wittum, Gabriel; Xu, Jinchao
2012
Convergence and optimality of the adaptive Morley element method. Zbl 1255.65212
Hu, Jun; Shi, Zhongci; Xu, Jinchao
2012
Optimal multilevel methods for graded bisection grids. Zbl 1235.65144
Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao
2012
A discontinuous Galerkin method for the fourth-order curl problem. Zbl 1289.76053
Hong, Qingguo; Hu, Jun; Shu, Shi; Xu, Jinchao
2012
Convergence analysis of $$V$$-cycle multigrid methods for anisotropic elliptic equations. Zbl 1258.65093
Wu, Yongke; Chen, Long; Xie, Xiaoping; Xu, Jinchao
2012
Fully discrete semi-Lagrangian methods for advection of differential forms. Zbl 1267.65130
Heumann, Holger; Hiptmair, Ralf; Li, Kun; Xu, Jinchao
2012
A nonconforming finite element method for fourth order curl equations in $$\mathbb R^3$$. Zbl 1227.78024
Zheng, Bin; Hu, Qiya; Xu, Jinchao
2011
New mixed finite elements for plane elasticity and Stokes equations. Zbl 1235.74324
Xie, XiaoPing; Xu, JinChao
2011
Fast Poisson-based solvers for linear and nonlinear PDEs. Zbl 1228.65233
Xu, Jinchao
2011
Handbook of numerical analysis. Vol XVI. Special Volume: Numerical methods for non-Newtonian fluids. Zbl 1216.76001
Glowinski, Roland; Xu, Jinchao
2011
A high order adaptive finite element method for solving nonlinear hyperbolic conservation laws. Zbl 1249.65207
Xu, Zhengfu; Xu, Jinchao; Shu, Chiwang
2011
Robust preconditioner for H(curl) interface problems. Zbl 1217.78062
Xu, Jinchao; Zhu, Yunrong
2011
Stable finite element discretizations for viscoelastic flow models. Zbl 1318.76010
Lee, Young-Ju; Xu, Jinchao; Zhang, Chen-Song
2011
Effects of integrations and adaptivity for the Eulerian-Lagrangian method. Zbl 1249.65197
Jia, Jiwei; Hu, Xiaozhe; Xu, Jinchao; Zhang, Chensong
2011
Domain decomposition methods in science and engineering XIX. Selected papers based on the presentations at the 19th international conference on domain decoposition (DD19), Zhanjiajie, China, August 17–22, 2009. Zbl 1204.65002
Huang, Yunqing; Kornhuber, Ralf; Widlund, Olof; Xu, Jinchao
2011
Numerical studies of adaptive finite element methods for two dimensional convection-dominated problems. Zbl 1203.65261
Sun, Pengtao; Chen, Long; Xu, Jinchao
2010
A generalization of the vertex-centered finite volume scheme to arbitrary high order. Zbl 1207.65128
Vogel, Andreas; Xu, Jinchao; Wittum, Gabriel
2010
Convergence of adaptive edge finite element methods for $${\mathbf H}({\mathbf curl})$$-elliptic problems. Zbl 1240.65338
Zhong, Liuqiang; Shu, Shi; Chen, Long; Xu, Jinchao
2010
Analysis of linear and quadratic simplicial finite volume methods for elliptic equations. Zbl 1169.65110
Xu, Jinchao; Zou, Qingsong
2009
Numerical solution to a mixed Navier-Stokes/Darcy model by the two-grid approach. Zbl 1213.76131
Cai, Mingchao; Mu, Mo; Xu, Jinchao
2009
Convergence and optimality of adaptive mixed finite element methods. Zbl 1198.65211
Chen, Long; Holst, Michael; Xu, Jinchao
2009
Preconditioning techniques for a mixed Stokes/Darcy model in porous medium applications. Zbl 1172.76023
Cai, Mingchao; Mu, Mo; Xu, Jinchao
2009
Optimal multilevel methods for $$H$$(grad), $$H$$(curl), and $$H$$(div) systems on graded and unstructured grids. Zbl 1193.65209
Xu, Jinchao; Chen, Long; Nochetto, Ricardo H.
2009
Optimal error estimates for Nédélec edge elements for time-harmonic Maxwell’s equations. Zbl 1212.65467
Zhong, Liuqiang; Shu, Shi; Wittum, Gabriel; Xu, Jinchao
2009
Phase field model of thermo-induced Marangoni effects in the mixtures and its numerical simulations with mixed finite element method. Zbl 1364.76097
Sun, Pengtao; Liu, Chun; Xu, Jinchao
2009
Fast numerical simulation of two-phase transport model in the cathode of a polymer electrolyte fuel cell. Zbl 1364.82058
Sun, Pengtao; Xue, Guangri; Wang, Chaoyang; Xu, Jinchao
2009
Auxiliary space preconditioners for mixed finite element methods. Zbl 1183.65151
Tuminaro, Ray S.; Xu, Jinchao; Zhu, Yunrong
2009
A domain decomposition method for two-phase transport model in the cathode of a polymer electrolyte fuel cell. Zbl 1280.76048
Sun, Pengtao; Xue, Guangri; Wang, Chao-Yang; Xu, Jinchao
2009
New numerical techniques for a three-dimensional liquid-feed direct methanol fuel cell model. Zbl 1191.82044
Sun, Pengtao; Xue, Guangri; Wang, Chaoyang; Xu, Jinchao
2009
Convergence and optimal complexity of adaptive finite element eigenvalue computations. Zbl 1159.65090
Dai, Xiaoying; Xu, Jinchao; Zhou, Aihui
2008
Uniformly-stable finite element methods for Darcy-Stokes-Brinkman models. Zbl 1174.76013
Xie, Xiaoping; Xu, Jinchao; Xue, Guangri
2008
Local and parallel finite element algorithms for the Stokes problem. Zbl 1145.65097
He, Yinnian; Xu, Jinchao; Zhou, Aihui; Li, Jian
2008
Uniform convergent multigrid methods for elliptic problems with strongly discontinuous coefficients. Zbl 1151.65097
Xu, Jinchao; Zhu, Yunrong
2008
Superconvergence of quadratic finite elements on mildly structured grids. Zbl 1195.65193
Huang, Yunqing; Xu, Jinchao
2008
Stability and accuracy of adapted finite element methods for singularly perturbed problems. Zbl 1146.65059
Chen, Long; Xu, Jinchao
2008
A sharp convergence estimate for the method of subspace corrections for singular systems of equations. Zbl 1137.65058
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
2008
New estimates for the rate of convergence of the method of subspace corrections. Zbl 1174.65354
Cho, Durkbin; Xu, Jinchao; Zikatanov, Ludmil
2008
Convergence analysis of iterative methods for semidefinite systems. Zbl 1174.65013
Wu, Jinbiao; Lee, Youngju; Xu, Jinchao; Zikatanov, Ludmil
2008
Optimal algorithms for discretized partial differential equations. Zbl 1180.65156
Xu, Jinchao
2008
A two-grid method of a mixed Stokes-Darcy model for coupling fluid flow with porous media flow. Zbl 1146.76031
Mu, Mo; Xu, Jinchao
2007
Nodal auxiliary space preconditioning in H(curl) and H(div) spaces. Zbl 1153.78006
Hiptmair, Ralf; Xu, Jinchao
2007
Optimal anisotropic meshes for minimizing interpolation errors in $$L^p$$-norms. Zbl 1106.41013
Chen, Long; Sun, Pengtao; Xu, Jingchao
2007
The finite element approximation of the nonlinear Poisson-Boltzmann equation. Zbl 1152.65478
Chen, Long; Holst, Michael J.; Xu, Jinchao
2007
A new class of Zienkiewicz-type non-conforming element in any dimensions. Zbl 1118.65124
Wang, Ming; Shi, Zhong-ci; Xu, Jinchao
2007
Some $$n$$-rectangle nonconforming elements for fourth order elliptic equations. Zbl 1142.65451
Wang, Ming; Shi, Zhongci; Xu, Jinchao
2007
Superconvergent derivative recovery for Lagrange triangular elements of degree $$p$$ on unstructured grids. Zbl 1156.65091
Bank, Randolph E.; Xu, Jinchao; Zheng, Bin
2007
Nonconforming tetrahedral finite elements for fourth order elliptic equations. Zbl 1125.65105
Ming, Wang; Xu, Jinchao
2007
Robust subspace correction methods for nearly singular systems. Zbl 1151.65096
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
2007
A new adaptive local mesh refinement algorithm and its application on fourth order thin film flow problem. Zbl 1123.76343
Sun, Pengtao; Russell, Robert D.; Xu, Jinchao
2007
The Morley element for fourth order elliptic equations in any dimensions. Zbl 1092.65103
Ming, Wang; Xu, Jinchao
2006
Local and parallel finite element algorithms for the Navier-Stokes problem. Zbl 1093.76035
He, Yinnian; Xu, Jinchao; Zhou, Aihui
2006
New formulations, positivity preserving discretizations and stability analysis for non-Newtonian flow models. Zbl 1176.76068
Lee, Young-Ju; Xu, Jinchao
2006
Modified Morley element method for a fourth order elliptic singular perturbation problem. Zbl 1102.65118
Wang, Ming; Xu, Jin-chao; Hu, Yucheng
2006
...and 72 more Documents
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#### Cited by 2,610 Authors

 77 Xu, Jinchao 51 Huang, Yunqing 47 He, Yinnian 40 Zhang, Zhimin 36 Hou, Yanren 35 Yang, Yidu 34 Chen, Yanping 34 Zikatanov, Ludmil T. 33 Xie, Hehu 32 Chen, Long 29 Shang, Yueqiang 28 Brenner, Susanne Cecelia 27 Hu, Xiaozhe 27 Xu, Xuejun 25 Vassilevski, Panayot Spirov 24 Bi, Hai 24 Hu, Jun 24 Shu, Shi 23 Zou, Qingsong 22 Li, Jian 21 Bacuta, Constantin 21 Feng, Xinlong 20 Bramble, James H. 20 Yang, Danping 20 Zhou, Aihui 19 Li, Jichun 19 Sun, Pengtao 18 Shi, Dongyang 17 Chen, Zhangxin 17 Pasciak, Joseph E. 17 Zou, Jun 16 Carstensen, Carsten 16 Chen, Jinru 16 Griebel, Michael 16 Zheng, Haibiao 15 Huang, Pengzhan 15 Lin, Qun 15 Zhang, Shangyou 15 Zuo, Liyun 14 Bi, Chunjia 14 Du, Guangzhi 14 Harbrecht, Helmut 14 He, Xiaoming 14 Shi, Zhongci 14 Zhang, Shuo 13 Chen, Chuanjun 13 Hu, Qiya 13 Oswald, Peter 13 Rui, Hongxing 12 Han, Jiayu 12 Hiptmair, Ralf 12 Huang, Qiumei 12 Huang, Xuehai 12 Kraus, Johannes K. 12 Neilan, Michael 12 Wang, Cheng 11 Antonietti, Paola Francesca 11 Gatica, Gabriel N. 11 Gunzburger, Max D. 11 Holst, Michael J. 11 Lee, Youngju 11 Mao, Shipeng 11 Stevenson, Rob P. 11 Xie, Xiaoping 11 Zeng, Jinping 11 Zhong, Liuqiang 10 Bank, Randolph E. 10 Chen, Shaochun 10 Dahmen, Wolfgang A. 10 Demlow, Alan 10 Křížek, Michal 10 Lazarov, Raytcho D. 10 Li, Likang 10 Li, Yonghai 10 Lin, Yanping 10 Liu, Chun 10 Praetorius, Dirk 10 Sayas, Francisco-Javier 10 Tai, Xuecheng 10 Wang, Junping 10 Wittum, Gabriel 10 Yan, Ningning 10 Zhang, Chensong 10 Zhang, Yu 10 Zhao, Xin 9 An, Rong 9 Franz, Sebastian 9 Huang, Jianguo 9 Li, Hengguang 9 Li, Kaitai 9 Nistor, Victor 9 Peterseim, Daniel 9 Sauter, Stefan A. 9 Yang, Wei 9 Yserentant, Harry 9 Zhang, Jiansong 8 Ainsworth, Mark 8 Axelsson, Axel Owe Holger 8 Cai, Zhiqiang 8 Cao, Waixiang ...and 2,510 more Authors
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#### Cited in 207 Serials

 174 Journal of Scientific Computing 167 Journal of Computational and Applied Mathematics 156 Mathematics of Computation 146 Computer Methods in Applied Mechanics and Engineering 139 Numerische Mathematik 136 Computers & Mathematics with Applications 114 Journal of Computational Physics 113 SIAM Journal on Scientific Computing 99 Applied Mathematics and Computation 94 Applied Numerical Mathematics 69 Advances in Computational Mathematics 68 Numerical Methods for Partial Differential Equations 65 SIAM Journal on Numerical Analysis 54 Numerical Linear Algebra with Applications 41 Numerical Algorithms 31 Computing 31 Science China. Mathematics 30 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 29 BIT 27 Calcolo 23 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 22 International Journal of Computer Mathematics 22 Computational Methods in Applied Mathematics 20 Journal of Mathematical Analysis and Applications 18 Applications of Mathematics 17 Linear Algebra and its Applications 16 Applied Mathematics and Mechanics. (English Edition) 15 Computers and Fluids 15 Mathematical Methods in the Applied Sciences 15 Applied Mathematics Letters 15 Computational Geosciences 15 Journal of Numerical Mathematics 14 Mathematical Problems in Engineering 14 Computing and Visualization in Science 14 Abstract and Applied Analysis 13 International Journal for Numerical Methods in Engineering 12 Mathematics and Computers in Simulation 12 RAIRO. Modélisation Mathématique et Analyse Numérique 12 Multiscale Modeling & Simulation 11 Numerical Functional Analysis and Optimization 10 Applied Mathematical Modelling 10 Engineering Analysis with Boundary Elements 9 Applicable Analysis 8 Acta Mathematicae Applicatae Sinica. English Series 8 Science in China. Series A 8 Computational and Applied Mathematics 8 ETNA. Electronic Transactions on Numerical Analysis 8 East Asian Journal on Applied Mathematics 7 Journal of Approximation Theory 7 Constructive Approximation 7 Communications in Numerical Methods in Engineering 7 Discrete and Continuous Dynamical Systems. Series B 7 Results in Applied Mathematics 6 SIAM Journal on Matrix Analysis and Applications 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Electronic Research Archive 5 International Journal for Numerical Methods in Fluids 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Foundations of Computational Mathematics 5 Acta Numerica 5 Advances in Difference Equations 4 International Journal of Engineering Science 4 Journal of Differential Equations 4 SIAM Journal on Control and Optimization 4 Computational Mechanics 4 Journal of Systems Science and Complexity 4 International Journal of Computational Methods 4 International Journal of Numerical Analysis and Modeling 4 Inverse Problems and Imaging 4 Molecular Based Mathematical Biology 4 SMAI Journal of Computational Mathematics 3 Computer Physics Communications 3 Inverse Problems 3 Acta Applicandae Mathematicae 3 Computer Aided Geometric Design 3 COMPEL 3 Journal of Integral Equations and Applications 3 Computational Mathematics and Mathematical Physics 3 SIAM Review 3 Computational Optimization and Applications 3 Applied Mathematics. Series B (English Edition) 3 Applied and Computational Harmonic Analysis 3 International Journal of Computational Fluid Dynamics 3 Communications in Nonlinear Science and Numerical Simulation 3 Nonlinear Analysis. Real World Applications 3 Mathematical Modelling and Analysis 3 Journal of Applied Mathematics and Computing 3 Central European Journal of Mathematics 3 Boundary Value Problems 3 Frontiers of Mathematics in China 3 Advances in Numerical Analysis 2 Communications on Pure and Applied Mathematics 2 Journal of Engineering Mathematics 2 Journal of Mathematical Biology 2 ACM Transactions on Mathematical Software 2 Journal of the Korean Mathematical Society 2 Meccanica 2 Journal of the American Mathematical Society 2 European Journal of Applied Mathematics ...and 107 more Serials
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#### Cited in 45 Fields

 2,271 Numerical analysis (65-XX) 1,177 Partial differential equations (35-XX) 621 Fluid mechanics (76-XX) 208 Mechanics of deformable solids (74-XX) 137 Optics, electromagnetic theory (78-XX) 98 Calculus of variations and optimal control; optimization (49-XX) 44 Approximations and expansions (41-XX) 40 Biology and other natural sciences (92-XX) 39 Computer science (68-XX) 35 Operations research, mathematical programming (90-XX) 31 Statistical mechanics, structure of matter (82-XX) 29 Operator theory (47-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 28 Ordinary differential equations (34-XX) 23 Probability theory and stochastic processes (60-XX) 22 Geophysics (86-XX) 17 Integral equations (45-XX) 17 Functional analysis (46-XX) 17 Classical thermodynamics, heat transfer (80-XX) 17 Information and communication theory, circuits (94-XX) 16 Potential theory (31-XX) 16 Statistics (62-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 14 Global analysis, analysis on manifolds (58-XX) 11 Real functions (26-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Quantum theory (81-XX) 8 Combinatorics (05-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Convex and discrete geometry (52-XX) 5 Systems theory; control (93-XX) 4 History and biography (01-XX) 4 Special functions (33-XX) 3 Mechanics of particles and systems (70-XX) 3 Astronomy and astrophysics (85-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 (73-XX) 1 Relativity and gravitational theory (83-XX)

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