Jinchao Xu

According to our database1, Jinchao Xu authored at least 133 papers between 1992 and 2022.

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Bibliography

2022
Optimal Convergence Rates for the Orthogonal Greedy Algorithm.
IEEE Trans. Inf. Theory, 2022

An extended Galerkin analysis in finite element exterior calculus.
Math. Comput., 2022

Meta-MgNet: Meta multigrid networks for solving parameterized partial differential equations.
J. Comput. Phys., 2022

Block triangular preconditioning for stochastic Galerkin method.
J. Comput. Appl. Math., 2022

A sharp Korn's inequality for piecewise H<sup>1</sup> space and its application.
CoRR, 2022

An efficient iterative method for dynamical Ginzburg-Landau equations.
CoRR, 2022

ReLU deep neural networks from the hierarchical basis perspective.
Comput. Math. Appl., 2022

CNNs with Compact Activation Function.
Proceedings of the Computational Science - ICCS 2022, 2022

2021
New discontinuous Galerkin algorithms and analysis for linear elasticity with symmetric stress tensor.
Numerische Mathematik, 2021

Helicity-conservative finite element discretization for incompressible MHD systems.
J. Comput. Phys., 2021

Multiscale and monolithic arbitrary Lagrangian-Eulerian finite element method for a hemodynamic fluid-structure interaction problem involving aneurysms.
J. Comput. Phys., 2021

A reliability-aware scheduling algorithm for parallel task executing on cloud computing system.
Int. J. Intell. Syst. Technol. Appl., 2021

An Interpretive Constrained Linear Model for ResNet and MgNet.
CoRR, 2021

Approximation Properties of Deep ReLU CNNs.
CoRR, 2021

Integral boundary conditions in phase field models.
CoRR, 2021

An efficient greedy training algorithm for neural networks and applications in PDEs.
CoRR, 2021

Characterization of the Variation Spaces Corresponding to Shallow Neural Networks.
CoRR, 2021

Improved Convergence Rates for the Orthogonal Greedy Algorithm.
CoRR, 2021

Sharp Lower Bounds on the Approximation Rate of Shallow Neural Networks.
CoRR, 2021

Rademacher Complexity and Numerical Quadrature Analysis of Stable Neural Networks with Applications to Numerical PDEs.
CoRR, 2021

Robust BPX preconditioner for the integral fractional Laplacian on bounded domains.
CoRR, 2021

Optimal Approximation Rates and Metric Entropy of ReLU$^k$ and Cosine Networks.
CoRR, 2021

2020
Simplex-Averaged Finite Element Methods for H(grad), H(curl), and H(div) Convection-Diffusion Problems.
SIAM J. Numer. Anal., 2020

Approximation rates for neural networks with general activation functions.
Neural Networks, 2020

A Mixed Discontinuous Galerkin Method for Linear Elasticity with Strongly Imposed Symmetry.
J. Sci. Comput., 2020

High-Order Approximation Rates for Neural Networks with ReLU<sup>k</sup> Activation Functions.
CoRR, 2020

The Finite Neuron Method and Convergence Analysis.
CoRR, 2020

Training Sparse Neural Networks using Compressed Sensing.
CoRR, 2020

Helicity-conservative finite element discretization for MHD systems.
CoRR, 2020

An Abstract Stabilization Method with Applications to Nonlinear Incompressible Elasticity.
CoRR, 2020

An Extended Galerkin Analysis for Linear Elasticity with Strongly Symmetric Stress Tensor.
CoRR, 2020

Robust block preconditioners for poroelasticity.
CoRR, 2020

Make ℓ <sub>1</sub> regularization effective in training sparse CNN.
Comput. Optim. Appl., 2020

2019
Generalized Gaffney inequality and discrete compactness for discrete differential forms.
Numerische Mathematik, 2019

New hybridized mixed methods for linear elasticity and optimal multilevel solvers.
Numerische Mathematik, 2019

Nonconforming finite element spaces for 2mth order partial differential equations on ℝ<sup>n</sup> simplicial grids when m=n+1.
Math. Comput., 2019

Structure-preserving finite element methods for stationary MHD models.
Math. Comput., 2019

Numerical simulation of an immersed rotating structure in fluid for hemodynamic applications.
J. Comput. Sci., 2019

Constrained Linear Data-feature Mapping for Image Classification.
CoRR, 2019

A machine learning method correlating pulse pressure wave data with pregnancy.
CoRR, 2019

Extended Galerkin Method.
CoRR, 2019

On the Approximation Properties of Neural Networks.
CoRR, 2019

MgNet: A Unified Framework of Multigrid and Convolutional Neural Network.
CoRR, 2019

2018
Newton Solvers for Drift-Diffusion and Electrokinetic Equations.
SIAM J. Sci. Comput., 2018

Modified Regularized Dual Averaging Method for Training Sparse Convolutional Neural Networks.
CoRR, 2018

ALE Method for a Rotating Structure Immersed in the Fluid and Its Application to the Artificial Heart Pump in Hemodynamics.
Proceedings of the Computational Science - ICCS 2018, 2018

2017
Stable finite element methods preserving \(\nabla \cdot \varvec{B}=0\) exactly for MHD models.
Numerische Mathematik, 2017

Multiphase Allen-Cahn and Cahn-Hilliard models and their discretizations with the effect of pairwise surface tensions.
J. Comput. Phys., 2017

Analytical decoupling techniques for fully implicit reservoir simulation.
J. Comput. Phys., 2017

Numerical studies of a class of linear solvers for fine-scale petroleum reservoir simulation.
Comput. Vis. Sci., 2017

An error-resilient redundant subspace correction method.
Comput. Vis. Sci., 2017

Algebraic multigrid methods.
Acta Numer., 2017

2016
A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations.
Numerische Mathematik, 2016

A nearly optimal multigrid method for general unstructured grids.
Numerische Mathematik, 2016

A two-grid SA-AMG convergence bound that improves when increasing the polynomial degree.
Numer. Linear Algebra Appl., 2016

Fast Multilevel Solvers for a Class of Discrete Fourth Order Parabolic Problems.
J. Sci. Comput., 2016

Multilevel Preconditioners for Reaction-Diffusion Problems with Discontinuous Coefficients.
J. Sci. Comput., 2016

Energetically stable discretizations for charge transport and electrokinetic models.
J. Comput. Phys., 2016

Robust preconditioners for incompressible MHD models.
J. Comput. Phys., 2016

2014
Optimal Solvers for Fourth-Order PDEs Discretized on Unstructured Grids.
SIAM J. Numer. Anal., 2014

Lower bounds of the discretization error for piecewise polynomials.
Math. Comput., 2014

On Adaptive Eulerian-Lagrangian Method for Linear Convection-Diffusion Problems.
J. Sci. Comput., 2014

A Simple Preconditioner for a Discontinuous Galerkin Method for the Stokes Problem.
J. Sci. Comput., 2014

2013
Equidistribution and Optimal Approximation Class.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

A Parallel Auxiliary Grid Algebraic Multigrid Method for Graphic Processing Units.
SIAM J. Sci. Comput., 2013

Comparative Convergence Analysis of Nonlinear AMLI-Cycle Multigrid.
SIAM J. Numer. Anal., 2013

Two-grid methods for time-harmonic Maxwell equations.
Numer. Linear Algebra Appl., 2013

Analysis of a two-level method for anisotropic diffusion equations on aligned and nonaligned grids.
Numer. Linear Algebra Appl., 2013

Minimal finite element spaces for 2m-th-order partial differential equations in R<sup>n</sup>.
Math. Comput., 2013

Combined Preconditioning with Applications in Reservoir Simulation.
Multiscale Model. Simul., 2013

Convergence and Optimality of the Adaptive Nonconforming Linear Element Method for the Stokes Problem.
J. Sci. Comput., 2013

The online monitoring system software design and the SOC estimation algorithm research for power battery.
Proceedings of the IEEE International Conference on Vehicular Electronics and Safety, 2013

2012
Convergence and optimality of the adaptive Morley element method.
Numerische Mathematik, 2012

Optimal multilevel methods for graded bisection grids.
Numerische Mathematik, 2012

Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations.
Math. Comput., 2012

Numerical Study of Geometric Multigrid Methods on CPU--GPU Heterogeneous Computers
CoRR, 2012

Local multilevel preconditioners for elliptic equations with jump coefficients on bisection grids.
Comput. Vis. Sci., 2012

Norms of Discrete Trace Functions of H¹(Ω) and H<sup>2</sup>(Ω).
Comput. Methods Appl. Math., 2012

2011
A nonconforming finite element method for fourth order curl equations in R<sup>3</sup>.
Math. Comput., 2011

2010
Convergence of adaptive edge finite element methods for <i>H</i>(curl)-elliptic problems.
Numer. Linear Algebra Appl., 2010

Numerical Studies of Adaptive Finite Element Methods for Two Dimensional Convection-Dominated Problems.
J. Sci. Comput., 2010

A generalization of the vertex-centered finite volume scheme to arbitrary high order.
Comput. Vis. Sci., 2010

A Software Watermarking Algorithm Based on Stack-State Transition Graph.
Proceedings of the Fourth International Conference on Network and System Security, 2010

2009
Numerical Solution to a Mixed Navier-Stokes/Darcy Model by the Two-Grid Approach.
SIAM J. Numer. Anal., 2009

New Numerical Techniques for a Three-Dimensional Liquid-Feed Direct Methanol Fuel Cell Model.
SIAM J. Appl. Math., 2009

Analysis of linear and quadratic simplicial finite volume methods for elliptic equations.
Numerische Mathematik, 2009

Convergence and optimality of adaptive mixed finite element methods.
Math. Comput., 2009

A domain decomposition method for two-phase transport model in the cathode of a polymer electrolyte fuel cell.
J. Comput. Phys., 2009

Preconditioning techniques for a mixed Stokes/Darcy model in porous media applications.
J. Comput. Appl. Math., 2009

2008
Multilevel Preconditioning Methods for Discrete Models of Lattice Block Materials.
SIAM J. Sci. Comput., 2008

Local and parallel finite element algorithms for the stokes problem.
Numerische Mathematik, 2008

Convergence and optimal complexity of adaptive finite element eigenvalue computations.
Numerische Mathematik, 2008

Stability and accuracy of adapted finite element methods for singularly perturbed problems.
Numerische Mathematik, 2008

A sharp convergence estimate for the method of subspace corrections for singular systems of equations.
Math. Comput., 2008

Superconvergence of quadratic finite elements on mildly structured grids.
Math. Comput., 2008

2007
A Two-Grid Method of a Mixed Stokes-Darcy Model for Coupling Fluid Flow with Porous Media Flow.
SIAM J. Numer. Anal., 2007

Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces.
SIAM J. Numer. Anal., 2007

The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation.
SIAM J. Numer. Anal., 2007

Superconvergent Derivative Recovery for Lagrange Triangular Elements of Degree p on Unstructured Grids.
SIAM J. Numer. Anal., 2007

A new class of Zienkiewicz-type non-conforming element in any dimensions.
Numerische Mathematik, 2007

Nonconforming tetrahedral finite elements for fourth order elliptic equations.
Math. Comput., 2007

Optimal anisotropic meshes for minimizing interpolation errors in L<sup>p</sup>-norm.
Math. Comput., 2007

A new adaptive local mesh refinement algorithm and its application on fourth order thin film flow problem.
J. Comput. Phys., 2007

2006
On the Convergence of Iterative Methods for Semidefinite Linear Systems.
SIAM J. Matrix Anal. Appl., 2006

The Morley element for fourth order elliptic equations in any dimensions.
Numerische Mathematik, 2006

A two-grid discretization method for decoupling systems of partial differential equations.
Math. Comput., 2006

An application of multigrid methods for a discrete elastic model for epitaxial systems.
J. Comput. Phys., 2006

An Algebraic Multigrid Method for Higher-order Finite Element Discretizations.
Computing, 2006

An algebraic multigrid method for finite element systems on criss-cross grids.
Adv. Comput. Math., 2006

2005
Partition of unity method on nonmatching grids for the Stokes problem.
J. Num. Math., 2005

2004
Analysis of recovery type a posteriori error estimators for mildly structured grids.
Math. Comput., 2004

Uniformly Convergent Multigrid Methods for Convection-Diffusion Problems without Any Constraint on Coarse Grids.
Adv. Comput. Math., 2004

2003
Asymptotically Exact A Posteriori Error Estimators, Part II: General Unstructured Grids.
SIAM J. Numer. Anal., 2003

Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence.
SIAM J. Numer. Anal., 2003

Some observations on Babu\vs}ka and Brezzi theories.
Numerische Mathematik, 2003

A multigrid method based on graph matching for convection-diffusion equations.
Numer. Linear Algebra Appl., 2003

A conforming finite element method for overlapping and nonmatching grids.
Math. Comput., 2003

Regularity estimates for elliptic boundary value problems in Besov spaces.
Math. Comput., 2003

Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains.
J. Num. Math., 2003

2002
Global and uniform convergence of subspace correction methods for some convex optimization problems.
Math. Comput., 2002

2001
A two-grid discretization scheme for eigenvalue problems.
Math. Comput., 2001

Local and Parallel Finite Element Algorithms Based on Two-Grid Discretizations for Nonlinear Problems.
Adv. Comput. Math., 2001

2000
Local and parallel finite element algorithms based on two-grid discretizations.
Math. Comput., 2000

1999
A Crosswind Block Iterative Method for Convection-Dominated Problems.
SIAM J. Sci. Comput., 1999

A monotone finite element scheme for convection-diffusion equations.
Math. Comput., 1999

1998
Some Nonoverlapping Domain Decomposition Methods.
SIAM Rev., 1998

1997
Preconditioning the Poincaré-Steklov operator by using Green's function.
Math. Comput., 1997

1996
Multigrid Methods for Process Simulation (W. Joppich and S. Mijalkovic).
SIAM Rev., 1996

Multigrid Methods for Finite Elements (V. V. Shaidurov).
SIAM Rev., 1996

The Auxiliary Space Method and Optimal Multigrid Preconditioning Techniques for Unstructured Grids.
Computing, 1996

1994
Some Remarks on a Multigrid Preconditioner.
SIAM J. Sci. Comput., 1994

A Novel Two-Grid Method for Semilinear Elliptic Equations.
SIAM J. Sci. Comput., 1994

1992
Iterative Methods by Space Decomposition and Subspace Correction.
SIAM Rev., 1992


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