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2020 – today
- 2024
[j113]Jonathan W. Siegel, Jinchao Xu:
Sharp Bounds on the Approximation Rates, Metric Entropy, and n-Widths of Shallow Neural Networks. Found. Comput. Math. 24(2): 481-537 (2024)- [j112]Jie Cao, Jinchao Xu, Bo Wang:
Service capability aware big data workflow scheduling approach in cloud datacentre. Int. J. Intell. Syst. Technol. Appl. 22(1): 1-15 (2024) - [j111]Cheng Wang, Pengtao Sun
, Yumiao Zhang, Jinchao Xu, Yan Chen, Jiarui Han:
A unified-field monolithic fictitious domain-finite element method for fluid-structure-contact interactions and applications to deterministic lateral displacement problems. J. Comput. Phys. 510: 113083 (2024) - [j110]Hongru Zhao, Jinchao Xu:
Convergence Analysis and Trajectory Comparison of Gradient Descent for Overparameterized Deep Linear Networks. Trans. Mach. Learn. Res. 2024 (2024) - [c6]Juncai He, Xinliang Liu, Jinchao Xu:
MgNO: Efficient Parameterization of Linear Operators via Multigrid. ICLR 2024 - [c5]Huang Huang, Fei Yu, Jianqing Zhu, Xuening Sun, Hao Cheng, Dingjie Song, Zhihong Chen, Mosen Alharthi, Bang An, Juncai He, Ziche Liu, Junying Chen, Jianquan Li, Benyou Wang, Lian Zhang, Ruoyu Sun, Xiang Wan, Haizhou Li, Jinchao Xu:
AceGPT, Localizing Large Language Models in Arabic. NAACL-HLT 2024: 8139-8163 - [i39]Cheng Wang, Pengtao Sun, Yumiao Zhang, Jinchao Xu, Yan Chen, Jiarui Han:
A Unified-Field Monolithic Fictitious Domain-Finite Element Method for Fluid-Structure-Contact Interactions and Applications to Deterministic Lateral Displacement Problems. CoRR abs/2402.12517 (2024) - [i38]Jongho Park, Jinchao Xu, Xiaofeng Xu:
Randomized greedy algorithms for neural network optimization. CoRR abs/2407.17763 (2024) - [i37]Tong Mao, Jonathan W. Siegel, Jinchao Xu:
Approximation Rates for Shallow ReLUk Neural Networks on Sobolev Spaces via the Radon Transform. CoRR abs/2408.10996 (2024) - 2023
- [j109]Jinchao Xu, Boyu Mu, Luwei Zhang, Rong Chai, Yanfu He, Xiaoshuan Zhang:
Fabrication and optimization of passive flexible ammonia sensor for aquatic supply chain monitoring based on adaptive parameter adjustment artificial neural network (APA-ANN). Comput. Electron. Agric. 212: 108082 (2023) - [j108]Xiaofeng Xu, Lian Zhang, Yin Shi, Long-Qing Chen, Jinchao Xu:
Integral boundary conditions in phase field models. Comput. Math. Appl. 135: 1-5 (2023) - [j107]Qingguo Hong, Limin Ma, Jinchao Xu, Long-Qing Chen:
An efficient iterative method for dynamical Ginzburg-Landau equations. J. Comput. Phys. 474: 111794 (2023) - [j106]Jonathan W. Siegel, Qingguo Hong, Xianlin Jin, Wenrui Hao, Jinchao Xu:
Greedy training algorithms for neural networks and applications to PDEs. J. Comput. Phys. 484: 112084 (2023) - [j105]Jianqing Zhu, Juncai He, Lian Zhang, Jinchao Xu:
FV-MgNet: Fully connected V-cycle MgNet for interpretable time series forecasting. J. Comput. Sci. 69: 102005 (2023) - [j104]Juan Pablo Borthagaray, Ricardo H. Nochetto, Shuonan Wu, Jinchao Xu:
Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains. Math. Comput. 92(344): 2439-2473 (2023) - [j103]Juncai He, Jinchao Xu, Lian Zhang, Jianqing Zhu:
An interpretive constrained linear model for ResNet and MgNet. Neural Networks 162: 384-392 (2023) - [i36]Jianqing Zhu, Juncai He, Lian Zhang, Jinchao Xu:
FV-MgNet: Fully Connected V-cycle MgNet for Interpretable Time Series Forecasting. CoRR abs/2302.00962 (2023) - [i35]Jongho Park, Jinchao Xu:
DualFL: A Duality-based Federated Learning Algorithm with Communication Acceleration in the General Convex Regime. CoRR abs/2305.10294 (2023) - [i34]Huang Huang, Fei Yu, Jianqing Zhu, Xuening Sun, Hao Cheng, Dingjie Song, Zhihong Chen, Abdulmohsen Alharthi, Bang An, Ziche Liu, Zhiyi Zhang, Junying Chen, Jianquan Li, Benyou Wang, Lian Zhang, Ruoyu Sun, Xiang Wan, Haizhou Li, Jinchao Xu:
AceGPT, Localizing Large Language Models in Arabic. CoRR abs/2309.12053 (2023) - [i33]Juncai He, Xinliang Liu, Jinchao Xu:
MgNO: Efficient Parameterization of Linear Operators via Multigrid. CoRR abs/2310.19809 (2023) - [i32]Juncai He, Jinchao Xu:
Deep Neural Networks and Finite Elements of Any Order on Arbitrary Dimensions. CoRR abs/2312.14276 (2023) - [i31]Juncai He, Tong Mao, Jinchao Xu:
Expressivity and Approximation Properties of Deep Neural Networks with ReLUk Activation. CoRR abs/2312.16483 (2023) - 2022
- [j102]Juncai He, Lin Li, Jinchao Xu:
ReLU deep neural networks from the hierarchical basis perspective. Comput. Math. Appl. 120: 105-114 (2022) - [j101]Dongwu Wang, Bin Zheng, Long Chen, Guang Lin, Jinchao Xu:
Block triangular preconditioning for stochastic Galerkin method. J. Comput. Appl. Math. 412: 114298 (2022) - [j100]Yuyan Chen, Bin Dong, Jinchao Xu:
Meta-MgNet: Meta multigrid networks for solving parameterized partial differential equations. J. Comput. Phys. 455: 110996 (2022) - [j99]Qingguo Hong, Yuwen Li, Jinchao Xu:
An extended Galerkin analysis in finite element exterior calculus. Math. Comput. 91(335): 1077-1106 (2022) - [j98]Jonathan W. Siegel, Jinchao Xu:
Optimal Convergence Rates for the Orthogonal Greedy Algorithm. IEEE Trans. Inf. Theory 68(5): 3354-3361 (2022) - [c4]Jindong Wang, Jinchao Xu, Jianqing Zhu:
CNNs with Compact Activation Function. ICCS (1) 2022: 319-327 - [i30]Qingguo Hong, Limin Ma, Jinchao Xu:
An efficient iterative method for dynamical Ginzburg-Landau equations. CoRR abs/2207.01425 (2022) - [i29]Qingguo Hong, YounJu Lee, Jinchao Xu:
A sharp Korn's inequality for piecewise H1 space and its application. CoRR abs/2207.02060 (2022) - [i28]Qingguo Hong, Qinyang Tan, Jonathan W. Siegel, Jinchao Xu:
On the Activation Function Dependence of the Spectral Bias of Neural Networks. CoRR abs/2208.04924 (2022) - [i27]Jongho Park, Jinchao Xu, Xiaofeng Xu:
A neuron-wise subspace correction method for the finite neuron method. CoRR abs/2211.12031 (2022) - 2021
- [j97]Jie Cao, Zhifeng Zhang, Bo Wang, Xiao Cui, Jinchao Xu:
A reliability-aware scheduling algorithm for parallel task executing on cloud computing system. Int. J. Intell. Syst. Technol. Appl. 20(3): 215-232 (2021) - [j96]Wenrui Hao, Pengtao Sun, Jinchao Xu, Lian Zhang:
Multiscale and monolithic arbitrary Lagrangian-Eulerian finite element method for a hemodynamic fluid-structure interaction problem involving aneurysms. J. Comput. Phys. 433: 110181 (2021) - [j95]Kaibo Hu, Young-Ju Lee, Jinchao Xu:
Helicity-conservative finite element discretization for incompressible MHD systems. J. Comput. Phys. 436: 110284 (2021) - [j94]Qingguo Hong, Jun Hu, Limin Ma, Jinchao Xu:
New discontinuous Galerkin algorithms and analysis for linear elasticity with symmetric stress tensor. Numerische Mathematik 149(3): 645-678 (2021) - [i26]Qingguo Hong, Yuwen Li, Jinchao Xu:
An Extended Galerkin analysis in finite element exterior calculus. CoRR abs/2101.09735 (2021) - [i25]Jonathan W. Siegel, Jinchao Xu:
Optimal Approximation Rates and Metric Entropy of ReLU$^k$ and Cosine Networks. CoRR abs/2101.12365 (2021) - [i24]Juan Pablo Borthagaray, Ricardo H. Nochetto, Shuonan Wu, Jinchao Xu:
Robust BPX preconditioner for the integral fractional Laplacian on bounded domains. CoRR abs/2103.12891 (2021) - [i23]Juncai He, Lin Li, Jinchao Xu:
ReLU Deep Neural Networks from the Hierarchical Basis Perspective. CoRR abs/2105.04156 (2021) - [i22]Jonathan W. Siegel, Jinchao Xu:
Improved Convergence Rates for the Orthogonal Greedy Algorithm. CoRR abs/2106.15000 (2021) - [i21]Jonathan W. Siegel, Jinchao Xu:
Characterization of the Variation Spaces Corresponding to Shallow Neural Networks. CoRR abs/2106.15002 (2021) - [i20]Wenrui Hao, Xianlin Jin, Jonathan W. Siegel, Jinchao Xu:
An efficient greedy training algorithm for neural networks and applications in PDEs. CoRR abs/2107.04466 (2021) - [i19]Xiaofeng Xu, Lian Zhang, Yin Shi, Long-Qing Chen, Jinchao Xu:
Integral boundary conditions in phase field models. CoRR abs/2108.06769 (2021) - [i18]Juncai He, Lin Li, Jinchao Xu:
Approximation Properties of Deep ReLU CNNs. CoRR abs/2109.00190 (2021) - [i17]Juncai He, Jinchao Xu, Lian Zhang, Jianqing Zhu:
An Interpretive Constrained Linear Model for ResNet and MgNet. CoRR abs/2112.07441 (2021) - 2020
- [j93]Juncai He, Xiaodong Jia, Jinchao Xu, Lian Zhang, Liang Zhao:
Make ℓ 1 regularization effective in training sparse CNN. Comput. Optim. Appl. 77(1): 163-182 (2020) - [j92]Fei Wang, Shuonan Wu, Jinchao Xu:
A Mixed Discontinuous Galerkin Method for Linear Elasticity with Strongly Imposed Symmetry. J. Sci. Comput. 83(1): 2 (2020) - [j91]Jonathan W. Siegel, Jinchao Xu:
Approximation rates for neural networks with general activation functions. Neural Networks 128: 313-321 (2020) - [j90]Shuonan Wu, Jinchao Xu:
Simplex-Averaged Finite Element Methods for H(grad), H(curl), and H(div) Convection-Diffusion Problems. SIAM J. Numer. Anal. 58(1): 884-906 (2020) - [i16]Shuangshuang Chen, Qingguo Hong, Jinchao Xu, Kai Yang:
Robust block preconditioners for poroelasticity. CoRR abs/2001.08254 (2020) - [i15]Qingguo Hong, Jun Hu, Limin Ma, Jinchao Xu:
An Extended Galerkin Analysis for Linear Elasticity with Strongly Symmetric Stress Tensor. CoRR abs/2002.11664 (2020) - [i14]Qingguo Hong, Chunmei Liu, Jinchao Xu:
An Abstract Stabilization Method with Applications to Nonlinear Incompressible Elasticity. CoRR abs/2005.00189 (2020) - [i13]Kaibo Hu, Young-Ju Lee, Jinchao Xu:
Helicity-conservative finite element discretization for MHD systems. CoRR abs/2007.07516 (2020) - [i12]Jonathan W. Siegel, Jianhong Chen, Jinchao Xu:
Training Sparse Neural Networks using Compressed Sensing. CoRR abs/2008.09661 (2020) - [i11]Jinchao Xu:
The Finite Neuron Method and Convergence Analysis. CoRR abs/2010.01458 (2020) - [i10]Yuyan Chen, Bin Dong, Jinchao Xu:
Meta-MgNet: Meta Multigrid Networks for Solving Parameterized Partial Differential Equations. CoRR abs/2010.14088 (2020) - [i9]Jonathan W. Siegel, Jinchao Xu:
High-Order Approximation Rates for Neural Networks with ReLUk Activation Functions. CoRR abs/2012.07205 (2020)
2010 – 2019
- 2019
- [j89]Wei Leng, Chen-Song Zhang, Pengtao Sun, Bin Gao, Jinchao Xu:
Numerical simulation of an immersed rotating structure in fluid for hemodynamic applications. J. Comput. Sci. 30: 79-89 (2019) - [j88]Shuonan Wu, Jinchao Xu:
Nonconforming finite element spaces for 2mth order partial differential equations on ℝn simplicial grids when m=n+1. Math. Comput. 88(316): 531-551 (2019) - [j87]Kaibo Hu, Jinchao Xu:
Structure-preserving finite element methods for stationary MHD models. Math. Comput. 88(316): 553-581 (2019) - [j86]Shihua Gong, Shuonan Wu, Jinchao Xu:
New hybridized mixed methods for linear elasticity and optimal multilevel solvers. Numerische Mathematik 141(2): 569-604 (2019) - [j85]Juncai He, Kaibo Hu, Jinchao Xu:
Generalized Gaffney inequality and discrete compactness for discrete differential forms. Numerische Mathematik 143(4): 781-795 (2019) - [i8]Juncai He, Jinchao Xu:
MgNet: A Unified Framework of Multigrid and Convolutional Neural Network. CoRR abs/1901.10415 (2019) - [i7]Jonathan W. Siegel, Jinchao Xu:
On the Approximation Properties of Neural Networks. CoRR abs/1904.02311 (2019) - [i6]Qingguo Hong, Shuonan Wu, Jinchao Xu:
Extended Galerkin Method. CoRR abs/1908.08205 (2019) - [i5]Jianhong Chen, Huang Huang, Wenrui Hao, Jinchao Xu:
A machine learning method correlating pulse pressure wave data with pregnancy. CoRR abs/1910.01726 (2019) - [i4]Juncai He, Yuyan Chen, Jinchao Xu:
Constrained Linear Data-feature Mapping for Image Classification. CoRR abs/1911.10428 (2019) - 2018
- [j84]Arthur Bousquet, Xiaozhe Hu, Maximilian S. Metti, Jinchao Xu:
Newton Solvers for Drift-Diffusion and Electrokinetic Equations. SIAM J. Sci. Comput. 40(3) (2018) - [c3]Pengtao Sun, Wei Leng, Chen-Song Zhang, Rihui Lan, Jinchao Xu:
ALE Method for a Rotating Structure Immersed in the Fluid and Its Application to the Artificial Heart Pump in Hemodynamics. ICCS (3) 2018: 9-23 - [i3]Xiaodong Jia, Liang Zhao, Lian Zhang, Juncai He, Jinchao Xu:
Modified Regularized Dual Averaging Method for Training Sparse Convolutional Neural Networks. CoRR abs/1807.04222 (2018) - 2017
- [j83]Jinchao Xu, Ludmil T. Zikatanov:
Algebraic multigrid methods. Acta Numer. 26: 591-721 (2017) - [j82]Tao Cui, Jinchao Xu, Chen-Song Zhang:
An error-resilient redundant subspace correction method. Comput. Vis. Sci. 18(2-3): 65-77 (2017) - [j81]Zheng Li, Shuhong Wu, Chen-Song Zhang, Jinchao Xu, Chunsheng Feng, Xiaozhe Hu:
Numerical studies of a class of linear solvers for fine-scale petroleum reservoir simulation. Comput. Vis. Sci. 18(2-3): 93-102 (2017) - [j80]Changhe Qiao, Shuhong Wu, Jinchao Xu, Chen-Song Zhang:
Analytical decoupling techniques for fully implicit reservoir simulation. J. Comput. Phys. 336: 664-681 (2017) - [j79]Shuonan Wu, Jinchao Xu:
Multiphase Allen-Cahn and Cahn-Hilliard models and their discretizations with the effect of pairwise surface tensions. J. Comput. Phys. 343: 10-32 (2017) - [j78]Kaibo Hu, Yicong Ma, Jinchao Xu:
Stable finite element methods preserving \(\nabla \cdot \varvec{B}=0\) exactly for MHD models. Numerische Mathematik 135(2): 371-396 (2017) - 2016
- [j77]Maximilian S. Metti, Jinchao Xu, Chun Liu:
Energetically stable discretizations for charge transport and electrokinetic models. J. Comput. Phys. 306: 1-18 (2016) - [j76]Yicong Ma, Kaibo Hu, Xiaozhe Hu, Jinchao Xu:
Robust preconditioners for incompressible MHD models. J. Comput. Phys. 316: 721-746 (2016) - [j75]Tzanio V. Kolev, Jinchao Xu, Yunrong Zhu:
Multilevel Preconditioners for Reaction-Diffusion Problems with Discontinuous Coefficients. J. Sci. Comput. 67(1): 324-350 (2016) - [j74]Bin Zheng, Luoping Chen, Xiaozhe Hu, Long Chen, Ricardo H. Nochetto, Jinchao Xu:
Fast Multilevel Solvers for a Class of Discrete Fourth Order Parabolic Problems. J. Sci. Comput. 69(1): 201-226 (2016) - [j73]Xiaozhe Hu, Panayot S. Vassilevski, Jinchao Xu:
A two-grid SA-AMG convergence bound that improves when increasing the polynomial degree. Numer. Linear Algebra Appl. 23(4): 746-771 (2016) - [j72]Qingguo Hong, Johannes Kraus, Jinchao Xu, Ludmil T. Zikatanov:
A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations. Numerische Mathematik 132(1): 23-49 (2016) - [j71]Lars Grasedyck, Lu Wang, Jinchao Xu:
A nearly optimal multigrid method for general unstructured grids. Numerische Mathematik 134(3): 637-666 (2016) - 2014
- [j70]Xiaozhe Hu, Young-Ju Lee, Jinchao Xu, Chen-Song Zhang:
On Adaptive Eulerian-Lagrangian Method for Linear Convection-Diffusion Problems. J. Sci. Comput. 58(1): 90-114 (2014) - [j69]Blanca Ayuso de Dios, Franco Brezzi, L. Donatella Marini, Jinchao Xu, Ludmil T. Zikatanov:
A Simple Preconditioner for a Discontinuous Galerkin Method for the Stokes Problem. J. Sci. Comput. 58(3): 517-547 (2014) - [j68]Qun Lin, Hehu Xie, Jinchao Xu:
Lower bounds of the discretization error for piecewise polynomials. Math. Comput. 83(285): 1-13 (2014) - [j67]Shuo Zhang, Jinchao Xu:
Optimal Solvers for Fourth-Order PDEs Discretized on Unstructured Grids. SIAM J. Numer. Anal. 52(1): 282-307 (2014) - 2013
- [j66]Jun Hu, Jinchao Xu:
Convergence and Optimality of the Adaptive Nonconforming Linear Element Method for the Stokes Problem. J. Sci. Comput. 55(1): 125-148 (2013) - [j65]Xiaozhe Hu, Shuhong Wu, Xiao-hui Wu, Jinchao Xu, Chen-Song Zhang, Shiquan Zhang, Ludmil T. Zikatanov:
Combined Preconditioning with Applications in Reservoir Simulation. Multiscale Model. Simul. 11(2): 507-521 (2013) - [j64]Ming Wang, Jinchao Xu:
Minimal finite element spaces for 2m-th-order partial differential equations in Rn. Math. Comput. 82(281): 25-43 (2013) - [j63]Liuqiang Zhong, Shi Shu, Junxian Wang, Jinchao Xu:
Two-grid methods for time-harmonic Maxwell equations. Numer. Linear Algebra Appl. 20(1): 93-111 (2013) - [j62]Guozhu Yu, Jinchao Xu, Ludmil T. Zikatanov:
Analysis of a two-level method for anisotropic diffusion equations on aligned and nonaligned grids. Numer. Linear Algebra Appl. 20(5): 832-851 (2013) - [j61]Xiaozhe Hu, Panayot S. Vassilevski, Jinchao Xu:
Comparative Convergence Analysis of Nonlinear AMLI-Cycle Multigrid. SIAM J. Numer. Anal. 51(2): 1349-1369 (2013) - [j60]Lu Wang, Xiaozhe Hu, Jonathan Cohen, Jinchao Xu:
A Parallel Auxiliary Grid Algebraic Multigrid Method for Graphic Processing Units. SIAM J. Sci. Comput. 35(3) (2013) - [c2]Zhiping Wang, Jinchao Xu, Tun Wang:
The online monitoring system software design and the SOC estimation algorithm research for power battery. ICVES 2013: 89-92 - [p1]Constantin Bacuta, Long Chen, Jinchao Xu:
Equidistribution and Optimal Approximation Class. Domain Decomposition Methods in Science and Engineering XX 2013: 3-14 - [e1]Randolph E. Bank, Michael J. Holst, Olof B. Widlund, Jinchao Xu:
Domain Decomposition Methods in Science and Engineering XX. Lecture Notes in Computational Science and Engineering 91, Springer 2013, ISBN 978-3-642-35274-4 [contents] - [i2]Tao Cui, Jinchao Xu, Chen-Song Zhang:
An Error-Resilient Redundant Subspace Correction Method. CoRR abs/1309.0212 (2013) - 2012
- [j59]Jinchao Xu, Shuo Zhang:
Norms of Discrete Trace Functions of H¹(Ω) and H2(Ω). Comput. Methods Appl. Math. 12(4): 500-512 (2012) - [j58]Long Chen, Michael J. Holst, Jinchao Xu, Yunrong Zhu:
Local multilevel preconditioners for elliptic equations with jump coefficients on bisection grids. Comput. Vis. Sci. 15(5): 271-289 (2012) - [j57]Liuqiang Zhong, Long Chen, Shi Shu, Gabriel Wittum, Jinchao Xu:
Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations. Math. Comput. 81(278): 623-642 (2012) - [j56]Long Chen, Ricardo H. Nochetto, Jinchao Xu:
Optimal multilevel methods for graded bisection grids. Numerische Mathematik 120(1): 1-34 (2012) - [j55]Jun Hu, Zhongci Shi, Jinchao Xu:
Convergence and optimality of the adaptive Morley element method. Numerische Mathematik 121(4): 731-752 (2012) - [i1]Chunsheng Feng, Shi Shu, Jinchao Xu, Chen-Song Zhang:
Numerical Study of Geometric Multigrid Methods on CPU--GPU Heterogeneous Computers. CoRR abs/1208.4247 (2012) - 2011
- [j54]Bin Zheng, Qiya Hu, Jinchao Xu:
A nonconforming finite element method for fourth order curl equations in R3. Math. Comput. 80(276): 1871-1886 (2011) - 2010
- [j53]Andreas Vogel, Jinchao Xu, Gabriel Wittum:
A generalization of the vertex-centered finite volume scheme to arbitrary high order. Comput. Vis. Sci. 13(5): 221-228 (2010) - [j52]Pengtao Sun, Long Chen, Jinchao Xu:
Numerical Studies of Adaptive Finite Element Methods for Two Dimensional Convection-Dominated Problems. J. Sci. Comput. 43(1): 24-43 (2010) - [j51]Liuqiang Zhong, Shi Shu, Long Chen, Jinchao Xu:
Convergence of adaptive edge finite element methods for H(curl)-elliptic problems. Numer. Linear Algebra Appl. 17(2-3): 415-432 (2010) - [c1]Jinchao Xu, Guosun Zeng:
A Software Watermarking Algorithm Based on Stack-State Transition Graph. NSS 2010: 83-88
2000 – 2009
- 2009
- [j50]Mingchao Cai, Mo Mu, Jinchao Xu:
Preconditioning techniques for a mixed Stokes/Darcy model in porous media applications. J. Comput. Appl. Math. 233(2): 346-355 (2009) - [j49]Pengtao Sun, Guangri Xue, Chaoyang Wang, Jinchao Xu:
A domain decomposition method for two-phase transport model in the cathode of a polymer electrolyte fuel cell. J. Comput. Phys. 228(16): 6016-6036 (2009) - [j48]Long Chen, Michael J. Holst, Jinchao Xu:
Convergence and optimality of adaptive mixed finite element methods. Math. Comput. 78(265): 35-53 (2009) - [j47]Jinchao Xu, Qingsong Zou:
Analysis of linear and quadratic simplicial finite volume methods for elliptic equations. Numerische Mathematik 111(3): 469-492 (2009) - [j46]Pengtao Sun, Guangri Xue, Chaoyang Wang, Jinchao Xu:
New Numerical Techniques for a Three-Dimensional Liquid-Feed Direct Methanol Fuel Cell Model. SIAM J. Appl. Math. 70(2): 600-620 (2009) - [j45]Mingchao Cai, Mo Mu, Jinchao Xu:
Numerical Solution to a Mixed Navier-Stokes/Darcy Model by the Two-Grid Approach. SIAM J. Numer. Anal. 47(5): 3325-3338 (2009) - 2008
- [j44]Young-Ju Lee, Jinbiao Wu, Jinchao Xu, Ludmil T. Zikatanov:
A sharp convergence estimate for the method of subspace corrections for singular systems of equations. Math. Comput. 77(262): 831-850 (2008) - [j43]Yunqing Huang, Jinchao Xu:
Superconvergence of quadratic finite elements on mildly structured grids. Math. Comput. 77(263): 1253-1268 (2008) - [j42]Long Chen, Jinchao Xu:
Stability and accuracy of adapted finite element methods for singularly perturbed problems. Numerische Mathematik 109(2): 167-191 (2008) - [j41]Yinnian He, Jinchao Xu, Aihui Zhou, Jian Li:
Local and parallel finite element algorithms for the stokes problem. Numerische Mathematik 109(3): 415-434 (2008) - [j40]Xiaoying Dai, Jinchao Xu, Aihui Zhou:
Convergence and optimal complexity of adaptive finite element eigenvalue computations. Numerische Mathematik 110(3): 313-355 (2008) - [j39]Shi Shu, Ivo Babuska, Yingxiong Xiao, Jinchao Xu, Ludmil T. Zikatanov:
Multilevel Preconditioning Methods for Discrete Models of Lattice Block Materials. SIAM J. Sci. Comput. 31(1): 687-707 (2008) - 2007
- [j38]Pengtao Sun, Robert D. Russell, Jinchao Xu:
A new adaptive local mesh refinement algorithm and its application on fourth order thin film flow problem. J. Comput. Phys. 224(2): 1021-1048 (2007) - [j37]Wang Ming, Jinchao Xu:
Nonconforming tetrahedral finite elements for fourth order elliptic equations. Math. Comput. 76(257): 1-18 (2007) - [j36]Long Chen, Pengtao Sun, Jinchao Xu:
Optimal anisotropic meshes for minimizing interpolation errors in Lp-norm. Math. Comput. 76(257): 179-204 (2007) - [j35]Ming Wang, Zhongci Shi, Jinchao Xu:
A new class of Zienkiewicz-type non-conforming element in any dimensions. Numerische Mathematik 106(2): 335-347 (2007) - [j34]Mo Mu, Jinchao Xu:
A Two-Grid Method of a Mixed Stokes-Darcy Model for Coupling Fluid Flow with Porous Media Flow. SIAM J. Numer. Anal. 45(5): 1801-1813 (2007) - [j33]Randolph E. Bank, Jinchao Xu, Bin Zheng:
Superconvergent Derivative Recovery for Lagrange Triangular Elements of Degree p on Unstructured Grids. SIAM J. Numer. Anal. 45(5): 2032-2046 (2007) - [j32]Long Chen, Michael J. Holst, Jinchao Xu:
The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation. SIAM J. Numer. Anal. 45(6): 2298-2320 (2007) - [j31]Ralf Hiptmair, Jinchao Xu:
Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces. SIAM J. Numer. Anal. 45(6): 2483-2509 (2007) - 2006
- [j30]Shi Shu, Jinchao Xu, Ying Yang, Haiyuan Yu:
An algebraic multigrid method for finite element systems on criss-cross grids. Adv. Comput. Math. 25(1-3): 287-304 (2006) - [j29]Shi Shu, Dudu Sun, Jinchao Xu:
An Algebraic Multigrid Method for Higher-order Finite Element Discretizations. Computing 77(4): 347-377 (2006) - [j28]Russel E. Caflisch, Young-Ju Lee, Shi Shu, Yingxiong Xiao, Jinchao Xu:
An application of multigrid methods for a discrete elastic model for epitaxial systems. J. Comput. Phys. 219(2): 697-714 (2006) - [j27]Jicheng Jin, Shi Shu, Jinchao Xu:
A two-grid discretization method for decoupling systems of partial differential equations. Math. Comput. 75(256): 1617-1626 (2006) - [j26]Wang Ming, Jinchao Xu:
The Morley element for fourth order elliptic equations in any dimensions. Numerische Mathematik 103(1): 155-169 (2006) - [j25]Young-Ju Lee, Jinbiao Wu, Jinchao Xu, Ludmil T. Zikatanov:
On the Convergence of Iterative Methods for Semidefinite Linear Systems. SIAM J. Matrix Anal. Appl. 28(3): 634-641 (2006) - 2005
- [j24]Constantin Bacuta, Jinru Chen, Yunqing Huang, Jinchao Xu, Ludmil T. Zikatanov:
Partition of unity method on nonmatching grids for the Stokes problem. J. Num. Math. 13(3): 157-169 (2005) - 2004
- [j23]Hwanho Kim, Jinchao Xu, Ludmil T. Zikatanov:
Uniformly Convergent Multigrid Methods for Convection-Diffusion Problems without Any Constraint on Coarse Grids. Adv. Comput. Math. 20(4): 385-399 (2004) - [j22]Jinchao Xu, Zhimin Zhang:
Analysis of recovery type a posteriori error estimators for mildly structured grids. Math. Comput. 73(247): 1139-1152 (2004) - 2003
- [j21]Constantin Bacuta, James H. Bramble, Jinchao Xu:
Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains. J. Num. Math. 11(2): 75-94 (2003) - [j20]Yunqing Huang, Jinchao Xu:
A conforming finite element method for overlapping and nonmatching grids. Math. Comput. 72(243): 1057-1066 (2003) - [j19]Constantin Bacuta, James H. Bramble, Jinchao Xu:
Regularity estimates for elliptic boundary value problems in Besov spaces. Math. Comput. 72(244): 1577-1595 (2003) - [j18]Hwanho Kim, Jinchao Xu, Ludmil T. Zikatanov:
A multigrid method based on graph matching for convection-diffusion equations. Numer. Linear Algebra Appl. 10(1-2): 181-195 (2003) - [j17]Jinchao Xu, Ludmil T. Zikatanov:
Some observations on Babu\vs}ka and Brezzi theories. Numerische Mathematik 94(1): 195-202 (2003) - [j16]Randolph E. Bank, Jinchao Xu:
Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence. SIAM J. Numer. Anal. 41(6): 2294-2312 (2003) - [j15]Randolph E. Bank, Jinchao Xu:
Asymptotically Exact A Posteriori Error Estimators, Part II: General Unstructured Grids. SIAM J. Numer. Anal. 41(6): 2313-2332 (2003) - 2002
- [j14]Xue-Cheng Tai, Jinchao Xu:
Global and uniform convergence of subspace correction methods for some convex optimization problems. Math. Comput. 71(237): 105-124 (2002) - 2001
- [j13]Jinchao Xu, Aihui Zhou:
Local and Parallel Finite Element Algorithms Based on Two-Grid Discretizations for Nonlinear Problems. Adv. Comput. Math. 14(4): 293-327 (2001) - [j12]Jinchao Xu, Aihui Zhou:
A two-grid discretization scheme for eigenvalue problems. Math. Comput. 70(233): 17-25 (2001) - 2000
- [j11]Jinchao Xu, Aihui Zhou:
Local and parallel finite element algorithms based on two-grid discretizations. Math. Comput. 69(231): 881-909 (2000)
1990 – 1999
- 1999
- [j10]Jinchao Xu, Ludmil T. Zikatanov:
A monotone finite element scheme for convection-diffusion equations. Math. Comput. 68(228): 1429-1446 (1999) - [j9]Feng Wang, Jinchao Xu:
A Crosswind Block Iterative Method for Convection-Dominated Problems. SIAM J. Sci. Comput. 21(2): 620-645 (1999) - 1998
- [j8]Jinchao Xu, Jun Zou:
Some Nonoverlapping Domain Decomposition Methods. SIAM Rev. 40(4): 857-914 (1998) - 1997
- [j7]Jinchao Xu, Sheng Zhang:
Preconditioning the Poincaré-Steklov operator by using Green's function. Math. Comput. 66(217): 125-138 (1997) - 1996
- [j6]Jinchao Xu:
The Auxiliary Space Method and Optimal Multigrid Preconditioning Techniques for Unstructured Grids. Computing 56(3): 215-236 (1996) - [j5]Jinchao Xu:
Multigrid Methods for Finite Elements (V. V. Shaidurov). SIAM Rev. 38(3): 542-543 (1996) - [j4]Jinchao Xu:
Multigrid Methods for Process Simulation (W. Joppich and S. Mijalkovic). SIAM Rev. 38(3): 543 (1996) - 1994
- [j3]Jinchao Xu, Jinshui Qin:
Some Remarks on a Multigrid Preconditioner. SIAM J. Sci. Comput. 15(1): 172-184 (1994) - [j2]Jinchao Xu:
A Novel Two-Grid Method for Semilinear Elliptic Equations. SIAM J. Sci. Comput. 15(1): 231-237 (1994) - 1992
- [j1]Jinchao Xu:
Iterative Methods by Space Decomposition and Subspace Correction. SIAM Rev. 34(4): 581-613 (1992)
Coauthor Index
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