Jun Zou

Orcid: 0000-0002-4809-7724

Affiliations:
  • Chinese University of Hong Kong, Department of Mathematics, Shatin, Hong Kong


According to our database1, Jun Zou authored at least 76 papers between 1998 and 2024.

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Bibliography

2024
Fano Resonances in All-Dielectric Electromagnetic Metasurfaces.
Multiscale Model. Simul., March, 2024

On the approximation of bi-Lipschitz maps by invertible neural networks.
Neural Networks, 2024

Constructing probing functions for direct sampling methods for inverse scattering problems with limited-aperture data: finite space framework and deep probing network.
CoRR, 2024

Adaptive Finite Element Method for a Nonlinear Helmholtz Equation with High Wave Number.
CoRR, 2024

A Direct Sampling Method and Its Integration with Deep Learning for Inverse Scattering Problems with Phaseless Data.
CoRR, 2024

2023
A Family of Immersed Finite Element Spaces and Applications to Three-Dimensional \(\bf{H}(\operatorname{curl})\) Interface Problems.
SIAM J. Sci. Comput., December, 2023

Mittag-Leffler stability of numerical solutions to time fractional ODEs.
Numer. Algorithms, April, 2023

On the convergence of discrete dynamic unbalanced transport models.
CoRR, 2023

A Direct Sampling-Based Deep Learning Approach for Inverse Medium Scattering Problems.
CoRR, 2023

2022
Finite Element Method for a Nonlinear Perfectly Matched Layer Helmholtz Equation with High Wave Number.
SIAM J. Numer. Anal., October, 2022

Stochastic Convergence of Regularized Solutions and Their Finite Element Approximations to Inverse Source Problems.
SIAM J. Numer. Anal., 2022

Minnaert Resonances for Bubbles in Soft Elastic Materials.
SIAM J. Appl. Math., 2022

A direct sampling method for simultaneously recovering electromagnetic inhomogeneous inclusions of different nature.
J. Comput. Phys., 2022

A family of immersed finite element spaces and applications to three dimensional H(curl) interface problems.
CoRR, 2022

Least-Squares Method for Inverse Medium Problems.
CoRR, 2022

Optimal Convergence of the Newton Iterative Crank-Nicolson Finite Element Method for the Nonlinear Schrödinger Equation.
Comput. Methods Appl. Math., 2022

Fully Discrete Finite Element Approximation of the MHD Flow.
Comput. Methods Appl. Math., 2022

2021
Mixed Finite Element Method with Gauss's Law Enforced for the Maxwell Eigenproblem.
SIAM J. Sci. Comput., 2021

A Direct Sampling Method for Simultaneously Recovering Inhomogeneous Inclusions of Different Nature.
SIAM J. Sci. Comput., 2021

On Novel Geometric Structures of Laplacian Eigenfunctions in ℝ<sup>3</sup> and Applications to Inverse Problems.
SIAM J. Math. Anal., 2021

A Direct Sampling Method for the Inversion of the Radon Transform.
SIAM J. Imaging Sci., 2021

Preconditioners and their analyses for edge element saddle-point systems arising from time-harmonic Maxwell's equations.
Numer. Algorithms, 2021

On the Saturation Phenomenon of Stochastic Gradient Descent for Linear Inverse Problems.
SIAM/ASA J. Uncertain. Quantification, 2021

An Analysis of Stochastic Variance Reduced Gradient for Linear Inverse Problems.
CoRR, 2021

2020
On the Convergence of Stochastic Gradient Descent for Nonlinear Ill-Posed Problems.
SIAM J. Optim., 2020

Superresolution in Recovering Embedded Electromagnetic Sources in High Contrast Media.
SIAM J. Imaging Sci., 2020

Mathematical and Numerical Study of a Three-Dimensional Inverse Eddy Current Problem.
SIAM J. Appl. Math., 2020

Mathematical Analysis of Electromagnetic Plasmonic Metasurfaces.
Multiscale Model. Simul., 2020

Weak Galerkin Method for Electrical Impedance Tomography.
CoRR, 2020

2018
A Time-Dependent Direct Sampling Method for Recovering Moving Potentials in a Heat Equation.
SIAM J. Sci. Comput., 2018

Direct recovery of wave-penetrable scatterers in a stratified ocean waveguide.
J. Comput. Appl. Math., 2018

Spectral Analysis, Properties and Nonsingular Preconditioners for Singular Saddle Point Problems.
Comput. Methods Appl. Math., 2018

2017
A multilevel sampling method for detecting sources in a stratified ocean waveguide.
J. Comput. Appl. Math., 2017

Analysis on block diagonal and triangular preconditioners for a PML system of an electromagnetic scattering problem.
Comput. Math. Appl., 2017

2016
Analysis on a Nonnegative Matrix Factorization and Its Applications.
SIAM J. Sci. Comput., 2016

Phased and Phaseless Domain Reconstructions in the Inverse Scattering Problem via Scattering Coefficients.
SIAM J. Appl. Math., 2016

Two-Level Space-Time Domain Decomposition Methods for Three-Dimensional Unsteady Inverse Source Problems.
J. Sci. Comput., 2016

2015
Direct Sampling Method for Diffusive Optical Tomography.
SIAM J. Sci. Comput., 2015

Optimal Shape Design by Partial Spectral Data.
SIAM J. Sci. Comput., 2015

Convergence of an adaptive finite element method for distributed flux reconstruction.
Math. Comput., 2015

2014
Edge Element Methods for Maxwell's Equations with Strong Convergence for Gauss' Laws.
SIAM J. Numer. Anal., 2014

The Concept of Heterogeneous Scattering Coefficients and Its Application in Inverse Medium Scattering.
SIAM J. Math. Anal., 2014

Locating Multiple Multiscale Acoustic Scatterers.
Multiscale Model. Simul., 2014

Imaging wave-penetrable objects in a finite depth ocean.
Appl. Math. Comput., 2014

2013
A Substructuring Preconditioner for Three-Dimensional Maxwell's Equations.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

A discrete weighted Helmholtz decomposition and its application.
Numerische Mathematik, 2013

A two-stage method for inverse medium scattering.
J. Comput. Phys., 2013

2012
Convergence analysis of finite element methods for <i>H</i>(curl; Ω)-elliptic interface problems.
Numerische Mathematik, 2012

2010
Convergence analysis of finite element methods for <i>H</i>(div;Ω)-elliptic interface problems.
J. Num. Math., 2010

Hierarchical Bayesian inference for Ill-posed problems via variational method.
J. Comput. Phys., 2010

An adaptive inverse iteration for Maxwell eigenvalue problem based on edge elements.
J. Comput. Phys., 2010

2009
Strengthened Linear Sampling Method with a Reference Ball.
SIAM J. Sci. Comput., 2009

Numerical Estimation of Piecewise Constant Robin Coefficient.
SIAM J. Control. Optim., 2009

Studies on some perfectly matched layers for one-dimensional time-dependent systems.
Adv. Comput. Math., 2009

2008
Multilevel Linear Sampling Method for Inverse Scattering Problems.
SIAM J. Sci. Comput., 2008

A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations.
Math. Comput., 2008

Inversion of Robin coefficient by a spectral stochastic finite element approach.
J. Comput. Phys., 2008

Evolutionary modeling based on overlap reuse.
Proceedings of the IEEE Congress on Evolutionary Computation, 2008

2007
An Efficient Multilevel Algorithm for Inverse Scattering Problem.
Proceedings of the Advances in Computation and Intelligence, 2007

2006
Nonlinear Inexact Uzawa Algorithms for Linear and Nonlinear Saddle-point Problems.
SIAM J. Optim., 2006

Auxiliary space preconditioning in H<sub>0</sub>(curl; Ω).
Numerische Mathematik, 2006

The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains.
Numerische Mathematik, 2006

2005
The Fourier Singular Complement Method for the Poisson problem. Part I: prismatic domains.
Numerische Mathematik, 2005

2004
Substructuring preconditioners for saddle-point problems arising from Maxwell's equations in three dimensions.
Math. Comput., 2004

An Evolutionary Algorithm for Parameters Identification in Parabolic Systems.
Proceedings of the Genetic and Evolutionary Computation, 2004

2003
A Nonoverlapping Domain Decomposition Method for Maxwell's Equations in Three Dimensions.
SIAM J. Numer. Anal., 2003

Convergence Analysis of a Finite Volume Method for Maxwell's Equations in Nonhomogeneous Media.
SIAM J. Numer. Anal., 2003

Some Observations on Generalized Saddle-Point Problems.
SIAM J. Matrix Anal. Appl., 2003

The Eigenvalues and Eigenspaces of Some Discrete Div- and Curl-Related Operators.
SIAM J. Matrix Anal. Appl., 2003

An Inexact Uzawa-Type Iterative Method for Solving Saddle Point Problems.
Int. J. Comput. Math., 2003

2002
Two new variants of nonlinear inexact Uzawa algorithms for saddle-point problems.
Numerische Mathematik, 2002

2001
An Iterative Method with Variable Relaxation Parameters for Saddle-Point Problems.
SIAM J. Matrix Anal. Appl., 2001

2000
Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients.
SIAM J. Numer. Anal., 2000

1999
Fully discrete finite element approaches for time-dependent Maxwell's equations.
Numerische Mathematik, 1999

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

Numerical methods for elliptic inverse problems.
Int. J. Comput. Math., 1998


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