许进超 Jinchao Xu – 全部论文

Approximation Rates for Shallow ReLU$^k$ Neural Networks on Sobolev Spaces via the Radon Transform, Journal of Scientific Computing, 2025. T. Mao, J. W Siegel, J. Xu
An Analysis of the Saturation Assumption for Polynomial Interpolation with Application to Adaptive Finite Element Methods, Journal of Computational Mathematics, 2026. R. Bank, J. Xu, H. Yserentant
Q-POP-IMT: An open-source phase-field software for simulating insulator-metal transition processes in quantum materials, Computer Physics Communications, 2025. Y. Shi, X. Xu, X. Cheng, S. Shenoy, J. Xu, L. Chen
Randomized greedy algorithms for neural network optimization, Journal of Scientific Computing, 2025. J. Xu, X. Xu
On the sharpness of a Korn's inequality for piecewise $H^1$ space and its applications, Journal of Scientific Computing, 2025. Q. Hong, Y. Lee, J. Xu
Second Language (Arabic) Acquisition of LLMs via Progressive Vocabulary Expansion, ACL 2025. J. Zhu, H. Huang, Z. Lin, J. Liang, Z. Tang, K. Almubarak, M. Alharthi, B. An, J. He, X. Wu, F. Yu, J. Chen, Z. Ma, Y. Du, H. Zhang, S. Alshahrani, E. A. Alghamdi, L. Zhang, R. Sun, H. Li, B. Wang, J. Xu
Alignment at pre-training! towards native alignment for Arabic LLMs, NeurIPS 2024. J. Liang, Z. Cai, J. Zhu, H. Huang, K. Zong, B. An, M. Alharthi, J. He, L. Zhang, H. Li, B. Wang, J. Xu
AceGPT, localizing large language models in Arabic, NAACL 2024. H. Huang, F. Yu, J. Zhu, X. Sun, H. Cheng, D. Song, Z. Chen, A. Alharthi, B. An, J. He, Z. Liu, Z. Zhang, J. Chen, J. Li, B. Wang, L. Zhang, R. Sun, X. Wan, H. Li, J. Xu
A neuron-wise subspace correction method for the finite neuron method, Journal of Computational Mathematics, 2024. J. Park, J. Xu, X. Xu
Phase-field model of strain effect on superconducting transitions and mesoscale pattern formation, Computational Materials Science, 2024. D. Fortino, Q. Hong, L. Ma, J. Xu, L. Chen
A unified-field monolithic fictitious domain-finite element method for fluid-structure-contact interactions and applications to deterministic lateral displacement problems, Journal of Computational Physics, 2024. W. Cheng, P. Sun, Y. Zhang, J. Xu, Y. Chen, J. Han
Sharp bounds on the approximation rates, metric entropy, and n-widths of shallow neural networks, Foundations of Computational Mathematics, 2024. J. W.Siegel, J. Xu
Robust BPX preconditioner for fractional Laplacians on bounded lipschitz domains, Mathematics of Computation, 2023. J. Borthagaray, R. Nochetto, S. Wu, J. Xu
On a Schur complement operator arisen from Navier-Stokes equations and its preconditioning, Advances in Computational Mathematics, 2023. L. Shen, J. Xu
Lack of robustness and accuracy of many numerical schemes for phase-field simulations, Mathematical Models and Methods in Applied Sciences, 2023. J. Xu, X. Xu
Greedy training algorithms for neural networks and applications to PDEs, Journal of Computational Physics, 2023. J. Siegel, Q. Hong, X. Jin, W. Hao, J. Xu
Characterization of the variation spaces corresponding to shallow neural networks, Constructive Approximation, 2023. J. Siegel, J. Xu
An interpretive constrained linear model for ResNet and MgNet, Neural Networks, 2023. J. He, J. Xu, L. Zhang, J. Zhu
FV-MgNet: fully connected V-cycle MgNet for interpretable time series forecasting, Journal of Computational Science, 2023. J. Zhu, J. He, L. Zhang, J. Xu
An efficient iterative method for dynamical Ginzburg-Landau equations, Journal of Computational Physics, 2023. Q. Hong, L. Ma, J. Xu, L. Chen
Integral boundary conditions in phase field models, Computers and Mathematics with Applications, 2023. X. Xu, L. Zhang, Y. Shi, L. Chen, J. Xu
Sharp bounds on the approximation rates, metric entropy, and n-widths of shallow neural networks, Foundations of Computational Mathematics, 2022. J. Siegel, J. Xu
Block triangular preconditioning for stochastic Galerkin method, Journal of Computational and Applied Mathematics, 2022. D. Wang, B. Zheng, L. Chen, G. Lin, J. Xu
Uniform approximation rates and metric entropy of shallow neural networks, Research in the Mathematical Sciences, 2022. L. Ma, J. Siegel, J. Xu
Approximation properties of deep ReLU CNNs, Research in the Mathematical Sciences, 2022. J. He, L. Li, J. Xu
ReLU deep neural networks from the hierarchical basis perspective, Computers and Mathematics with Applications, 2022. J. He, L. Li, J. Xu
CNNs with compact activation function, Computational Science-ICCS 2022: 22nd International Conferenc, 2022. J. Wang, J. Zhu, J. Xu
Extensible structure-informed prediction of formation energy with improved accuracy and usability employing neural networks, Computational Materials Science, 2022. A. Krajewskia, J. W.Siegel, J. Xu, Z. Liu
High-order approximation rates for neural networks with ReLUk activation functions, Computational and Applied Harmonic Analysis, 2022. J. Siegel, J. Xu
Extended Galerkin analysis in finite element exterior calculus, Mathematics of Computation, 2022. Q.Hong, Y. Li, J. Xu
Meta-MgNet: meta Multigrid networks forssolving parameterized partial differential equation, Journal of Computational Physics, 2022. Y. Chen, B. Dong, J.Xu
Optimal convergence rates for the orthogonal greedy algorithm, IEEE Transactions on Information Theory, 2022. J. Siegel, J. Xu
New discontinuous Galerkin algorithms and analysis for linear elasticity with symmetric stress tensor, Numerische Mathematik, 2021. Q. Hong, J. Hu, L. Ma, J. Xu
Helicity-conservative finite element discretization for MHD systems, Journal of Computational Physics, 2021. K. Hu, Y. Lee, J. Xu
Multiscale and monolithic arbitrary Lagrangian-Eulerian finite element method for a hemodynamic fluid-structure interaction problem involving aneurysms, Journal of Computational Physics, 2021. W. Hao, P. Sun, J. Xu, L. Zhang
Uniform stability and error analysis for some discontinuous Galerkin methods, Journal of Computational Mathematics, 2021. Q. Hong, J. Xu
An extended Galerkin analysis for elliptic problems, Science China Mathematics, 2021. Q. Hong, S. Wu, J. Xu
Finite neuron method and convergence analysis, Communications in Computational Physics, 2020. J. Xu
An abstract stabilization method with applications to nonlinear incompressible elasticity, Mathematica Numerical Sinica, 2020. Q. Hong, C. Liu, J. Xu
Approximation rates for neural networks with general activation functions, Neural Networks, 2020. J. Siegel, J. Xu
Make $\\ell_1$ regularization effective in training sparse CNN, Computational Optimization and Applications, 2020. J. He, X. Jia, J. Xu, L. Zhang, L. Zhao
High-order extended finite element methods for solving interface problems, Computer Methods in Applied Mechanics and Engineering, 2020. Y. Xiao, J. Xu, F. Wang
A mixed discontinuous Galerkin method for linear elasticity with strongly imposed symmetry, Journal of Scientific Computing, 2020. F. Wang, S. Wu, J. Xu
ReLU deep neural networks and linear finite elements, Journal of Computational Mathematics, 2020. J. He, L. Li, J. Xu, C. Zheng
Robust preconditioners for poroelasticity, Computer Methods in Applied Mechanics and Engineering, 2020. S. Chen, Q. Hong, J. Xu, K. Yang
Simplex-averaged finite element methods for (grad), (curl), and (div) convection-diffusion problems, SIAM Journal on Numerical Analysis, 2020. S. Wu, J. Xu
Generalized gaffney inequality and discrete compactness for discrete differential forms, Numerische Mathematik, 2019. J. He, K. Hu, J. Xu
A machine learning method correlating pulse pressure wave data with pregnancy, International journal for numerical methods in biomedical engineering, 2019. J. Chen, H. Huang, W. Hao, J. Xu
Randomized and fault-tolerant method of subspace corrections, Research in the Mathematical Sciences, 2019. X. Hu, J. Xu, L. Zikatanov
MgNet: a unified framework of Multigrid and convolutional neural network, Science China Mathematics, 2019. J. He, J. Xu
On the stability and accuracy of partially and fully implicit schemes for phase field modeling, Computer Methods in Applied Mechanics and Engineering, 2019. J. Xu, Y. Li, S. Wu, A. Bousquet
New hybridized mixed methods for linear elasticity and optimal multilevel solvers, Numerische Mathematik, 2019. S. Gong, S. Wu, J. Xu
Numerical simulation of an immersed rotating structure in fluid for hemodynamic applications, Journal of Computational Science, 2019. W. Leng, C. Zhang, P. Sun, B. Gao, J. Xu
A unified study of continuous and discontinuous Galerkin methods, SCIENCE CHINA Mathematics, 2019. Q. Hong, F. Wang, S. Wu, J. Xu
Nonconforming finite element spaces for 2m-th order partial differential equations on r^n simplicial grids when m=n+1, Mathematics of Computation, 2019. S. Wu, J. Xu
Structure-preserving finite element methods for stationary MHD models, Mathematics of Computation, 2019. K. Hu, J. Xu
Error estimates of the classical and improved two-grid methods, Advance in Applied Mathematics and Mechanics, 2018. W. Zhang, J. Xu, L. Zhong
Uniform stability and error analysis for some discontinuous Galerkin methods, International Conference on Computational Science, 2018. Q. Hong, J. Xu
Ale method for a rotating structure immersed in the fluid and its application to the artificial heart pump in hemodynamics, International Conference on Computational Science, 2018. P. Sun, W. Leng, C. Zhang, R. Lan, J. Xu
Newton solvers for drift-diffusion and electrokinetic equations, SIAM Journal on Scientific Computing, 2018. A. Bousquet, X. Hu, M. Metti, J. Xu
Interior penalty mixed finite element methods of any order in any dimension for linear elasticity with strongly symmetric stress tensor, Mathematical Models and Methods in Applied Sciences, 2017. S. Wu, S. Gong, j. Xu
Algebraic Multigrid methods, Acta Numerica, 2017. J. Xu, L. Zikatanov
Multiphase allen-cahn and cahn-hilliard models and their discretizations with the effect of pairwise surface tensions, Journal of Computational Physics, 2017. S. Wu, J. Xu
A mathematical model of aortic aneurysm formation, PloS one, 2017. W. Hao, S. Gong, S. Wu, J. Xu, M. Go, A. Friedman, D. Zhu
Numerical studies of a class of linear solvers for fine-scale petroleum reservoir simulation, Computing and Visualization in Science, 2017. Z. Li, S. Wu, C. Zhang, J. Xu, C. Hu
Analytical decoupling techniques for fully implicit reservoir simulation, Journal of Computational Physics, 2017. C. Qiao, S. Wu, J. Xu, a. Zhang
An error-resilient redundant subspace correction method, Computing and Visualization in Science, 2017. T. Cui, J. Xu, C. Zhang
Stable finite element methods preserving $\\nabla \\cdot \\varvec{b} = 0$ exactly for MHD models, Numerische Mathematik, 2017. K. Hu, Y. Ma, J. Xu
Toward cost-effective reservoir simulation solvers on gpus, Advances in Applied Mathematics and Mechanics, 2016. Z. Li, S. Wu, J. Xu, C. Zhang
A robust Multigrid method for discontinuous Galerkin discretizations of stokes and linear elasticity equations, Numerische Mathematik, 2016. Q. Hong, J. Kraus, J. Xu, L. Zikatanov
A nearly optimal Multigrid method for general unstructured grids, Numerische Mathematik, 2016. L. Gradsedyck, L. Wang, Xu
Modeling and simulations for fluid and rotating structure interactions, Computational Methods in Applied Mechanics and Engineering, 2016. K. Yang, P. Sun, L. Wang, J. Xu, L. Zhang
A two-grid SA-AMG convergence bound that improves when increasing the polynomial degree, Numerische Lineare Algebra Applikationen, 2016. X. Hu, P. Vassilevski, J. Xu
Robust preconditioners for incompressible MHD models, Journal of Computational Physics, 2016. Y. Ma, K. Hu, X. Hu, J. Xu
Fast multilevel solvers for a class of discrete fourth order parabolic problems, Journal of Scientific Computing, 2016. B. Zheng, L. Chen, X. Hu, L. Chen, R. Nochetto, J. Xu
Multilevel preconditioners for reaction-diffusion problems with discontinuous coefficients, Journal of Scientific Computing, 2016. T. Kolev, J. Xu, Y. Zhu
Energetically stable discretizations for charge transport and electrokinetic models, Journal of Computational Physics, 2016. M. Metti, J. Xu, C. Liu
A cascadic Multigrid algorithm for computing the fiedler vector of graph Laplacians, Journal of Computational Mathematics, 2015. J. Urschel, X. Hu, J. Xu, L. Zikatanov
On robust and efficient parallel reservoir simulation on tianhe-2, SPE Reservoir Characterisation and Simulation Conference and Exhibition, 2015. W. Guan, C. Qiao, H. Zhang, C. Zhang, M. Zhi, Z. Zhu, Z. Zheng, W. Ye, Y. Zhang, X. Hu, Z. Li, C. Feng, Y. Xu, J. Xu
Modeling low salinity waterflooding in mineralogically different carbonates, SPE Annual Technical Conference and Exhibition, 2015. C. Qiao, R. Johns, J. Xu
A mechanistic model of wettability alteration by chemically tuned water flooding in carbonate reservoirs, SPE Journal, 2015. C. Qiao, L. Li, R.T, T. Johns,J. Xu
A Multigrid solver based on distributive smoother and residual overweighting for oseen problems, Numerical Mathematics: Theory, Methods and Applications, 2015. L. Chen, X. Hu, M. Wang, J. Xu
Optimal finite element methods for interface problems, Domain Decomposition Methods in Science and Engineering XXII, 2015. J. Xu, S. Zhang
A scalable consistent second-order sph solver for unsteady low reynolds number flows, Computer Methods in Applied Mechanics and Engineering, 2015. M. Maxey, K. Kim, M. Perego, M. L. Parks, K. Yang, J. Xu
Well-posedness and robust preconditioners for discretized fluid-structure interaction systems, Computational Methods in Applied Mechanics and Engineering, 2015. J.Xu, K. Yang
Compositional modeling of reaction-induced injectivity alteration during co2 flooding in carbonate reservoirs, SPE Annual Technical Conference and Exhibition, Society of Petroleum Engineers, 2014. C. Qiao, L. Li, R.T. Jones, J. Xu
The study on hemodynamic effect of varied support models of bjut-ii vad on coronary artery: a primary cfd study, ASAIO Journal, 2014. Q. Zhang, B. Gao, K. Gu, Y.Chang, J. Xu
Optimal solvers for fourth-order PDEs discretized on unstructured grids, SIAM Journal on Numerical Analysis, 2014. S. Zhang, J. Xu
Lower bounds of the discretization error for piecewise polynomials, Mathematics of Computation, 2014. Q. Lin, H.Xie, J. Xu
Full eulerian finite element method of a phase field model for fluid-structure interaction problem, Computers and Fluids, 2014. P. Sun, J.Xu, L. Zhang
Spatial heterogeneity and co-occurrence patterns of human mucosal-associated intestinal microbiota, ISME Journal, 2014. Z. Zhang, J. Geng, X. Tang, H. Fan, J. Xu, X. Wen, Z. Shi
Numerical study of geometric Multigrid on cpu--gpu heterogenous computers, Advances in Applied Mathematics and Mechanics, 2014. C. Feng, S. Shu, J.Xu, Z. Zhang
A simple preconditioner for a discontinuous Galerkin method for the stokes problem, Journal of Scientific Computing, 2014. B. Dios, F. Brezzi, L. Marini, J. Xu, L. Zikatanov
An auxiliary space preconditioner for the black oil model and its openmp implemetation, Domain Decomposition Methods in Science and Engineering XXI, 2013. C. Feng, S. Shu, J. Xu, C. Zhang
Application of auxiliary space preconditioning in field-scale reservoir simulation, Science China Mathematics, 2013. X. Hu, J.Xu, C. Zhang
Multilevel preconditioners for a new generation reservoir simulator, SPE Reservoir Characterization and Simulation Conference and Exhibition, 2013. Q. Li, J. Xu, X. Li, H. Li, S. Wu, B. Wang, C. Zhang
The single-grid multilevel method and its applications, Inverse Problems in Imaging, 2013. J. Xu
Combined preconditioning with applications in reservoir simulation, Multiscale Modeling and Simulation, 2013. X. Hu, S. Wu, X. Wu, J. Xu, C. Zhang, S. Zikatanov
On adaptive eulerian-lagrangian method for linear convection-diffusion problems, Journal of Scientific Computing, 2013. X. Hu, Y. Lee, J. Xu, C. Zhang
A parallel auxiliary grid algebraic Multigrid method for graphic processing units, SIAM Journal on Scientific Computing, 2013. L. Wang, X. Hu,J. Cohen, J. Xu
Comparative convergence analysis of nonlinear AMLI-cycle Multigrid, SIAM Journal on Numerical Analysis, 2013. J. Xu
Application of an energy-minimizing algebraic Multigrid method for subsurface water simulations, International Journal of Numerical Analysis and Modeling, 2013. J. Cheng, X. Hai, S. Shu, J.Xu, C. Zhang, S. Zhang, Z. Zhou
Convergence and optimality of the adaptive nonconforming linear element method for the stokes problem, Journal of Scientific Computing, 2013. J. Hu, J. Xu
Minimal finite element spaces for 2m-th-order partial differential equations in r^n, Mathematics of Computation, 2013. J. Xu, M. Wang
Two-grid methods for time-harmonic Maxwell equations, Numerical Linear Algebra with Applications, 2013. L. Zhong, S. Shu, J. Wang, J. Xu
Analysis of a two-level method for anisotropic diffusion equations on aligned and nonaligned grids, Numerical Linear Algebra with Applications, 2013. G. Yu, J. XU, L. Zikatanov
Local multilevel preconditioners for elliptic equations with jump coefficients on bisection grids, Computing and Visualization in Science, 2012. L. Chen, M. Holst, J.Xu, Y. Zhu
A discontinuous Galerkin method for the fourth-order curl problem, Journal of Computational Mathematics, 2012. Q. Hong, J. Hu, S.Shu, J. Xu
Convergence of numerical analysis of V-cycle Multigrid methods for anisotropic elliptic equations, IMA Journal of Numerical Analysis, 2012. Y. Wu, L. Chen, X.Xie, J. Xu
Optimal multilevel methods for graded bisection grids, Numerische Mathematik, 2012. L. Chen, R. Nochetto, J. Xu
Fully discrete semi-lagrangian methods for advection of differential forms, BIT Numerical Mathematics, 2012. H. Heumann, R. Hiptmair, K. Li, J. Xu
Convergence and optimality of the adaptive morley element methods, Numerische Mathematik, 2012. J. Xu
Convergence and optimality of adaptive edge finite element methods for time-harmonic maxwell equations, Mathematics of Computation, 2012. L. Zhong, L. Chen, S. Shu, G. Wittum, J. Xu
Robust preconditioner for H(curl) interface problems, Domain Decomposition Methods in Science and Engineering XIX, 2011. J. Xu, Y. Zhu
Stable finite element discretizations for viscoelastic flow models, Handbook of Numerical Analysis, 2011. Y. Li, J. Xu, C. Zhang
Global existence, uniqueness and optimal solvers of discretized viscoelastic flow models, Mathematical Models and Methods in Applied Sciences, 2011. Y. Li, J. Xu, C. Zhang
New mixed finite elements for plane elasticity and Stokes equations, Science China Mathematics, 2011. X. Xie, J. Xu
Development of a fast auxiliary subspace preconditioner for numerical reservoir simulators, SPE Reservoir Characterization and Simulation Conference, 2011. X. Hu, W. Liu, G. Qin, J. Xu, Y.Yan, C. Zhang
Effects of integrations and adaptivity for the eulerian--lagrangian method, Journal of Computational Mathematics, 2011. J. Jia, X. Hu, J. Xu, C. Zhang
New mixed finite elements for plane elasticity and stokes equations, Science China Mathematics, 2011. X. Xie, J. Xu
A nonconforming finite element method for fourth order curl equations in $\mathbb{R}^{3}$, Mathematics of Computation, 2011. B. Zheng, Q. Hu, J. Xu
A combined finite element-upwind finite volume method for liquid-feed direct methanol fuel cell simulations, Journal of Fuel Cell Science and Technology, 2010. P.Sun, C. Wang, J. Xu
Fast poisson-based solvers for linear and nonlinear PDEs, Proceedings of the International Congress of mathematicians 2010 (ICM 2010), 2010. J. Xu
Numerical studies of adaptive finite element methods for two dimensional convection-dominated problems, Journal of Scientific Computing, 2010. P. Sun, L. Chen, J. Xu
A generalization of the vertex-centered finite volume scheme to arbitrary high order, Computing and Visualization in Science, 2010. A. Vogel, G. Wittum, J. Xu
Convergence of adaptive edge finite element methods for $\mathcal{H}(\mathcal{C}url)$-elliptic problems, Numerical Linear Algebra with Applications, 2010. L. Zhong, S. Shu, L. Chen, J. Xu
Phase field model of thermo-induced marangoni effects in the mixtures and its numerical simulations with mixed finite element method, Communications in Computational Physics, 2009. P. Sun, C. Liu, J. Xu
Numerical solution to a mixed Navier-Stokes/darcy model by the two-grid approach, SIAM Journal on Numerical Analysis, 2009. M. Cai, M. Mu, J. Xu
Preconditioning techniques for a mixed stokes/darcy model in porous media applications, Journal of Computational and Applied Mathematics, 2009. M. Cai, M. Mu, J. Xu
Convergence and optimality of adaptive mixed finite element methods, Mathematics of Computation, 2009. L. Chen, M. Holst, J. Xu
Preface: special issue on adaptive and multilevel methods in computational electromagnetics, Journal of Computational Mathematics, 2009. R Hiptmair, J Xu
New numerical techniques for a three-dimensional liquid-feed direct methanol fuel cell model, SIAM Journal on Applied Mathematics, 2009. P. Sun, G. Xue, C. Wang, J. Xu
A domain decomposition method for a two-phase transport model in the cathode of a polymer electrolyte fuel cell, Journal of Computational Physics, 2009. P. Sun, G. Xue, C. Wang, J. Xu
Auxiliary space preconditoners for mixed finite element methods, Domian Decomposition Methods in Science and Engineering XVII, 2009. R. Tuminaro, J. Xu, Y. Zhu
Analysis of linear and quadratic simplicial finite volume methods for elliptic equations, Numerische Mathematik, 2009. J. Xu, Q. Zou
Optimal algorithms for discretized partial differential equations, ICIAM, 2009. J. Xu
Optimal error estimates for nedelec edge elements for time-harmonic maxwell's equations, Journal of Computational Mathematics, 2009. L. Zhong, S. Shu, G. Wittum, J. Xu
Fast numerical simulation of two-phase transport model in the cathode of a polymer electrolyte fuel cell, Communications in Computational Physics, 2009. P. Sun, G. Xue, C. Wang, J. Xu
A combined finite element-upwind finite volume-newton's method for liquid-feed direct methanol fuel cell simulations, Proceedings of Sixth International Fuel Cell Science, Engineering and Technology Conference, 2008. P. Sun, G. Xue, C. Wang, J. Xu
Multilevel preconditioning methods for discrete models of lattice block materials, SIAM Journal on Scientific Computing, 2008. S. Shu, I. Babuska, J. Xu, Y. Xiao, L. Zikatanov
Auxiliary space preconditioning for edge elements, IEEE Transactions on Magnetics, 2008. J. Xu
Stability and accuracy of adapted finite element methods for singularly perturbed problems, Numerische Mathematik, 2008. L. Chen, J. Xu
New estimates for the rate of convergence of the method of subspace corrections, Numerische Mathematik: Theory, Methods and Applications, 2008. D. Cho, J. Xu, L. Zikatanov
Convergence and optimal complexity of adaptive finite element eigenvalue computations, Numerische Mathematik, 2008. X. Dai, J. Xu, A. Zhou
Local and parallel finite element algorithms for the stokes problem, Numerische Mathematik, 2008. Y. He, J. Xu, A. Zhou
Superconvergence of quadratic finite elements on mildly structured grids, Mathematics of Computation, 2008. Y. Huang, J. Xu
A sharp convergence estimate for the method of subspace corrections for singular systems of equations, Mathematics of Computation, 2008. Y. Lee, J. Wu, J. Xu, L. Zikatanov
Convergence analysis on iterative methods for semidefinite systems, Journal of Computational Mathematics, 2008. J. Wu, Y. Lee, J. Xu, L. Zikatanov
Uniformly-stable finite element methods for the Darcy-Stokes-Brinkman models, Journal of Computational Mathematics, 2008. X. Xie, J. Xu, G. Xue
Uniform convergent Multigrid methods for elliptic problems with strongly discontinuous coefficients, Mathematical Models and Methods in Applied Sciences, 2008. J. Xu, Y. Zhu
Optimal anisotropic simplicial meshes for minimizing interpolation errors in lp-norm, Mathematics of Computation, 2007. L. Chen, P. Sun, J. Xu
Superconvergent derivative recovery for lagrange triangular elements of degree p on unstructured grids, SIAM Journal on Numerical Analysis, 2007. R. Bank, J. Xu, B. Zheng
The finite element approximation of the nonlinear Poisson–Boltzmann equation, SIAM Journal on Numerical Analysis, 2007. L. Chen, M. Holst, J. Xu
Robust subspace correction methods for nearly singular systems, Mathematical Models and Methods in Applied Sciences, 2007. Y. Lee, J. Wu, J. Xu, L. Zikatanov
A new adaptive local mesh refinement algorithm and its application on fourth order thin film flow problem, Journal of Computational Physics, 2007. P. Sun, R. Russell, J. Xu
A new class of zienkiewicz-type non-conforming element in any dimensions, Numerische Mathematik, 2007. M. Wang, Z. Shi, J. Xu
Some $n$-rectangle nonconforming elements for fourth order elliptic equations, Journal of Computational Mathematics, 2007. M. Wang, Z. Shi, J. Xu
Optimal anisotropic meshes for minimizing interpolation errors in $L^{p}$-norm, Mathematics of Computation, 2007. L. Chen, P. Sun, J. Xu
Nodal auxiliary space preconditioning in H (curl) and H (div) spaces, SIAM Journal on Numerical Analysis, 2007. R.Hiptmair, J. Xu
A two-grid method of a mixed Stokes–Darcy model for coupling fluid flow with porous media flow, SIAM Journal on Numerical Analysis, 2007. M. Mu, J. Xu
Nonconforming tetrahedral finite elements for fourth order elliptic equations, Mathematics of Computation, 2006. M. Wang, J. Xu
An application of Multigrid methods for a discrete elastic model for epitaxial systems, Journal of Computational Physics, 2006. R. Caflisch, Y. Lee, S. Shu, Y. Xiao, J. Xu
Local and parallel finite element algorithms for the Navier-Stokes problem, Journal of Computational Mathematics, 2006. Y. He, J. Xu, A. Zhou
A two-grid discretization method for decoupling systems of partial differential equations, Mathematics of Computation, 2006. J. Jin, S. Shu, J. Xu
On the convergence of iterative methods for semidefinite linear systems, SIAM Journal on Matrix Analysis and Applications, 2006. Y. Lee, J. Wu, J. Xu, L. Zikatanov
New formulations, positivity preserving discretizations and stability analysis for non-newtonian flow models, Computational Methods in Applied Mechanics and Engineering, 2006. Y. Lee, J. Xu
An algebraic Multigrid method for higher-order finite element discretizations, Computing, 2006. S. Shu, D. Sun, J. Xu
An algebraic Multigrid method for finite element systems on criss-cross grids, Advances in Computational Mathematics, 2006. S. Shu, J. Xu, Y. Yang, H. Yu
A toy model for testing finite element methods to simulate extreme-mass-ratio binary systems, Classical and Quantum Gravity, 2006. C. Sopuerta, P. Sun, P. Laguna, J. Xu
The morley element for fourth order elliptic equations in any dimensions, Numerische Mathematik, 2006. M. Wang, J. Xu
Modified morley element method for a fourth elliptic singular perturbation problem, Journal of Computational Mathematics, 2006. M. Wang, J. Xu, Z. Shi
On the well-posedness of a mathematical model for lithium-ion battery systems, Methods and Applications of Analysis, 2006. J. Wu, J. Xu, H. Zou
Extending the applicability of Multigrid methods, Journal of Physics: Conference Series, 2006. J. Brannick, M. Brezina, R. Falgout, T. Manteuffel, S. McCormick, J. Ruge, B. Sheehan, J. Xu, L. Zikatanov
Partition of unity method on nonmatching grids for the stokes problem, Journal of Numerical Mathematics, 2005. C. Bacuta, J. Chen, Y. Huang, J. Xu, L. Zikatanov
Asymptotically optimal and linear-time algorithm for polygonal curve simplification, IEEE Transactions on Pattern Analysis and Machine Intelligence, 2005. L. Chen, J. Wang, J. Xu
Measuring single cardiac myocyte contractile force via moving a magnetic bead, Biophysical Journal, 2005. S. Yin, X. Zhang, C. Zhan, J. Wu, J. Cheung, J. Xu
Multilevel homotopic adaptive finite element methods for convection dominated problems, The Proceedings for 15th Conferences for Domain Decomposition Methods, Lecture Notes in Computational Science and Engineering, 2005. L. Chen, P. Sun, J. Xu
An optimal streamline diffusion finite element method for a singularly perturbed problem, Recent advances in adaptive computation, 2005. L.Cheng, J. Xu
Uniformly convergent Multigrid methods for convection-diffusion problems without any constraint on coarse grids, Advances in Computational Mathematics, 2004. H. Kim, J. Xu, L. Zikatanov
Analysis of recovery type a posteriori error estimators for mildly structured grids, Mathematics of Computation, 2004. J. Xu, Z. Zhang
Optimal delaunay triangulations, Journal of Computational Mathematics, 2004. L.Cheng, J. Xu
On an energy minimizing basis for algebraic Multigrid methods, Computing and Visualization in Science, 2004. J.Xu, L Zikatanov
Regularity estimates for elliptic boundary value problems in besov spaces, Mathematics of Computation, 2003. C. Bacuta, J. Bramble, J. Xu
Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains, Journal of Numerical Mathematics, 2003. C. Bacuta, J. Bramble, J. Xu
Asymptotically exact a posteriori error estimators. Part I: grids with superconvergence, SIAM Journal on Numerical Analysis, 2003. R. Bank, J. Xu
Asymptotically exact a posteriori error estimators. Part I: general unstructured grids, SIAM Journal on Numerical Analysis, 2003. R. Bank, J. Xu
A conforming finite element method for overlapping and nonmatching grids, Mathematics of Computation, 2003. Y.Huang, J. Xu
A Multigrid method based on graph matching for convection-diffusion equations, Numerical Linear Algebra with Applications, 2003. H. Kim, J. Xu, L. Zikatanov
Successive subspace correction method for singular system of equations, Proceedings of the 14th International Conference on Domain Decomposition Method, 2003. Y. Lee, J. Xu, L. Zikatanov
Some observations on babuska and brezzi theories, Numerische Mathematik, 2003. J.Xu, L. Zikatanov
Partition of unity method for stokes problem on nonmatching grids, Proceedings of the 2003 Copper Mountain Conference on Multigrid Methods, 2003. C. Bacuta, J. Xu
Mathematical modelling and numerical simulations on electrochemical devices, Proc Intl Symp Comp Applied PDEs, 2002. J. Xu
Algebraic Multigrid method on lattice block materials, Recent Progress in Computational and Applied PDEs, 2002. S. Shu, J. Xu, Y. Xiao, L. Zikatanov
Rate of convergence for parallel subspace correction methods for nonlinear variational inequalities, Proceedings of the 13rd International Conference on Domain Decomposition Method, 2002. X. Tai, B. Heimsund, J. Xu
Newton-krylov-Multigrid algorithms for battery simulation, Journal of the Electrochemical Society, 2002. J. Wu, V. Srinivasan, J. Xu, C. Wang
Local and parallel finite element algorithms for eigenvalue problems, Acta Mathematicae Applicatae Sinica, 2002. Y. He, J. Xu, A. Zhou
Some multiscale methods for partial differential equations, Contemporary Mathematics, 2002. J. Xu, A. Zhou
The method of alternating projections and the method of subspace corrections in hilbert space, Journal of the American Mathematical Society, 2002. J. Xu, L. Zikatanov
Global and uniform convergence of subspace correction methods for some convex optimization problems, Mathematics of Computation, 2001. X. Tai, J. Xu
Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems, Advances in Computational Mathematics, 2001. J. Xu, A. Zhou
Convergence of an explicit upwind finite element method to multi-dimensional conservation laws, Journal of Computational Mathematics, 2001. J. Xu, Y. Ying
The method of subspace corrections, Journal of Computational and Applied Mathematics, 2000. J. Xu
A finite element Multigrid preconditioner for chebyshev-collocation method, Applied Numerical Mathematics, 2000. J. Shen, F. Wang, J. Xu
Local and parallel finite element algorithms based on two-grid discretizations, Mathematics of Computation, 2000. J. Xu, A. Zhou
A two-grid discretization scheme for eigenvalue problems, Mathematics of Computation, 1999. J. Xu, A. Zhou
A partition-of-unity finite element method for elliptic problems with highly oscillating coefficients, In Proceedings for the Workshop on Scientific Computing, Hongkong99, 1999. Y. Huang, J. Xu
A crosswind block iterative method for convection-dominated problems, SIAM Journal on Scientific Computing, 1999. F.Wang, J. Xu
Some local and parallel properties of finite element discretizations, Proceedings of the 11st International Conference on Domain Decomposition Method, 1999. J.Xu, A. Zhou
A monotone finite element scheme for convection-diffusion equations, Mathematics of Computation, 1999. J.Xu, L. Zikatanov
On a Schur complement operator arisen from Navier-Stokes equations and its preconditioning, Advances in computational mathematics, 1998. L. Shen, J. Xu
Subspace correction methods for convex optimization problems, Eleventh International Conference on Domain Decomposition Methods, 1998. X. Tai, J. Xu
An agglomeration Multigrid method for unstructured grids, Contemporary Mathematics, 1998. T. Chan, J. Xu, L. Zikatanov
A study of incorporating the Multigrid method into the three-dimensional finite element discretization: a modular setting of grid generation and application, International Journal for Numerical Methods in Engineering, 1998. H. Cheng, G. Yeh, J. Xu, M. Li, R. Carsel
Some nonoverlapping domain decomposition methods, SIAM Review, 1998. J. Xu, J. Zou
The eafe scheme and cws method for convection dominated problems, Proceedings of the 9th International Conference on Domain Decomposition Method, 1997. J. Xu
Preconditioning the Steklov-Poincar´e operator by using greens function, Mathematics of Computation, 1997. J.Xu, S.Zhang
An algorithm for coarsening unstructured meshes, Numerische Mathematik, 1996. R.Bank,J. Xu
The auxiliary space method and optimal Multigrid preconditioning techniques for unstructured grids, Computing, 1996. J. Xu
Two-grid discretization techniques for linear and nonlinear PDEs, SIAM Journal on Numerical Analysis, 1996. J. Xu
A hierarchical basis Multigrid method for unstructured grids, Fast Solvers for Flow Problems, 1995. R. Bank, J. Xu
Error estimates on a new nonlinear Galerkin method based on two-grid finite elements, SIAM Journal on Numerical Analysis, 1995. M. Marion, J. Xu
The hierarchical basis Multigrid method and incomplete lu decomposition, Contemporary Mathematics, 1994. R.Bank, J. Xu
Some remarks on a Multigrid preconditioner, SIAM Journal on Scientific Computing, 1994. J. Qin, J. Xu
A novel two-grid method for semilinear elliptic equations, SIAM Journal on Scientific Computing, 1994. J. Xu
Some two-grid finite element methods, Proceedings of the 6th International Conference on Domain Decomposition Method, 1994. J. Xu
A new class of iterative methods for nonselfadjoint or indefinite problems, SIAM Journal on Numerical Analysis, 1992. J. Xu
A preconditioned gmres method for nonsymmetric or indefinite problems, Mathematics of Computation, 1992. X. Cai, J. Xu
Galerkin-wavelet methods for two-point boundary value problems, Numerische Mathematik, 1992. W. Shann, J. Xu
Iterative methods by space decomposition and subspace correction, SIAM Review, 1992. J. Xu
Iterative methods by spd and small subspace solvers for nonsymmetric or indefinite problems, Proceedings of the 5th International Conference on Domain Decomposition Method, 1992. J. Xu
A multilevel preconditioner for domain decomposition boundary systems, Proceedings of the Tenth International Conference on Computer Methods in Applied Science and Engineering, 1992. J. Bramble, J. Pasciak, J. Xu
Convergence estimates for Multigrid algorithms without regularity assumptions, Mathematics of Computation, 1991. J. Bramble, J. Pasciak, J. Wang, J. Xu
Convergence estimates for product iterative methods with applications to domain decomposition, Mathematics of Computation, 1991. J. Bramble, J. Pasciak, J. Wang, J. Xu
The analysis of Multigrid algorithms with nonnested spaces or noninherited quadratic forms, Mathematics of Computation, 1991. J. Bramble, J. Pasciak, J. Xu
Some estimates for a weighted L2 projection, Mathematics of Computation, 1991. J. Xu
Counterexamples concerning a weighted $l^2$ projection, Mathematics of Computation, 1991. J. Xu
Convergence estimates for some Multigrid algorithms, Proceedings of the 3rd International Conference on Domain Decomposition Method, 1990. J. Xu
Parallel multilevel preconditioners, Mathematics of Computation, 1990. J. Bramble, J. Pasciak, J. Xu
Superconvergence of the gradient in piecewise linear finite-element approximation to a parabolic problem, SIAM Journal on Numerical Analysis, 1989. V. Thomee, J. Xu, N. Zhang
Theory of multilevel methods, Cornell University, 1989. J. Xu (Ph.D. thesis)
A local post-processing technique for improving the accuracy in mixed finite-element approximations, SIAM Journal on Numerical Analysis, 1988. J. Xu
The analysis of Multigrid algorithms for nonsymmetric and indefinite elliptic problems, Mathematics of Computation, 1988. J. Bramble, J. Pasciak, J. Xu
The error analysis and the improved algorithms for the infinite element method, Chinese Journal of Numerical Mathematics and Applications, 1988. J.Xu, Y. Long
Analysis and improvement of algorithms for the infinite element method, Mathematical Numerics and Applications, 1986. J. Xu, L. Ying
Linear finite elements with high accuracy, Journal of Computational Mathematics, 1985. Q. Lin, J. Xu
SOBOLEV空间中的若干不等式与多角形区域上的有限元与无限元, 1984. J. Xu (中文版硕士学位论文)
Estimate of the convergence rate of the finite element solutions to elliptic equation of second order with discontinuous coefficients, Natural Science Journal of Xiangtan University, 1982. J. Xu (Undergraduate thesis)