Jun Zou

CoRR, 2024

2023

A Family of Immersed Finite Element Spaces and Applications to Three-Dimensional \(\bf{H}(\operatorname{curl})\) Interface Problems.

[BibT_eX]

[DOI]

Long Chen

Ruchi Guo

SIAM J. Sci. Comput., December, 2023

Mittag-Leffler stability of numerical solutions to time fractional ODEs.

[BibT_eX]

[DOI]

Dongling Wang

Numer. Algorithms, April, 2023

On the convergence of discrete dynamic unbalanced transport models.

[BibT_eX]

[DOI]

Bowen Li

CoRR, 2023

On the Approximation of Bi-Lipschitz Maps by Invertible Neural Networks.

[BibT_eX]

[DOI]

CoRR, 2023

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

[BibT_eX]

[DOI]

Jianfeng Ning

CoRR, 2023

2022

Finite Element Method for a Nonlinear Perfectly Matched Layer Helmholtz Equation with High Wave Number.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., October, 2022

Stochastic Convergence of Regularized Solutions and Their Finite Element Approximations to Inverse Source Problems.

[BibT_eX]

[DOI]

Zhiming Chen

Wenlong Zhang

SIAM J. Numer. Anal., 2022

Minnaert Resonances for Bubbles in Soft Elastic Materials.

[BibT_eX]

[DOI]

Hongjie Li

Hongyu Liu

SIAM J. Appl. Math., 2022

A direct sampling method for simultaneously recovering electromagnetic inhomogeneous inclusions of different nature.

[BibT_eX]

[DOI]

J. Comput. Phys., 2022

Least-Squares Method for Inverse Medium Problems.

[BibT_eX]

[DOI]

Ying Liang

CoRR, 2022

Optimal Convergence of the Newton Iterative Crank-Nicolson Finite Element Method for the Nonlinear Schrödinger Equation.

[BibT_eX]

[DOI]

Hanzhang Hu

Buyang Li

Comput. Methods Appl. Math., 2022

Fully Discrete Finite Element Approximation of the MHD Flow.

[BibT_eX]

[DOI]

Yinnian He

Guo-Dong Zhang

Comput. Methods Appl. Math., 2022

2021

Mixed Finite Element Method with Gauss's Law Enforced for the Maxwell Eigenproblem.

[BibT_eX]

[DOI]

Huoyuan Duan

Junhua Ma

SIAM J. Sci. Comput., 2021

A Direct Sampling Method for Simultaneously Recovering Inhomogeneous Inclusions of Different Nature.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2021

A Direct Sampling Method for the Inversion of the Radon Transform.

[BibT_eX]

[DOI]

SIAM J. Imaging Sci., 2021

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

[BibT_eX]

[DOI]

Numer. Algorithms, 2021

On the Saturation Phenomenon of Stochastic Gradient Descent for Linear Inverse Problems.

[BibT_eX]

[DOI]

SIAM/ASA J. Uncertain. Quantification, 2021

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

[BibT_eX]

[DOI]

CoRR, 2021

2020

On the Convergence of Stochastic Gradient Descent for Nonlinear Ill-Posed Problems.

[BibT_eX]

[DOI]

SIAM J. Optim., 2020

Superresolution in Recovering Embedded Electromagnetic Sources in High Contrast Media.

[BibT_eX]

[DOI]

Bowen Li

SIAM J. Imaging Sci., 2020

Mathematical and Numerical Study of a Three-Dimensional Inverse Eddy Current Problem.

[BibT_eX]

[DOI]

Junqing Chen

Ying Liang

SIAM J. Appl. Math., 2020

Mathematical Analysis of Electromagnetic Plasmonic Metasurfaces.

[BibT_eX]

[DOI]

Bowen Li

Multiscale Model. Simul., 2020

Weak Galerkin Method for Electrical Impedance Tomography.

[BibT_eX]

[DOI]

Ying Liang

CoRR, 2020

2018

A Time-Dependent Direct Sampling Method for Recovering Moving Potentials in a Heat Equation.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2018

Direct recovery of wave-penetrable scatterers in a stratified ocean waveguide.

[BibT_eX]

[DOI]

Keji Liu

Yongzhi Xu

J. Comput. Appl. Math., 2018

Spectral Analysis, Properties and Nonsingular Preconditioners for Singular Saddle Point Problems.

[BibT_eX]

[DOI]

Na Huang

Chang-Feng Ma

Comput. Methods Appl. Math., 2018

2017

A multilevel sampling method for detecting sources in a stratified ocean waveguide.

[BibT_eX]

[DOI]

Keji Liu

Yongzhi Xu

J. Comput. Appl. Math., 2017

Analysis on block diagonal and triangular preconditioners for a PML system of an electromagnetic scattering problem.

[BibT_eX]

[DOI]

Na Huang

Chang-Feng Ma

Comput. Math. Appl., 2017

2016

Analysis on a Nonnegative Matrix Factorization and Its Applications.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2016

Phased and Phaseless Domain Reconstructions in the Inverse Scattering Problem via Scattering Coefficients.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2016

Two-Level Space-Time Domain Decomposition Methods for Three-Dimensional Unsteady Inverse Source Problems.

[BibT_eX]

[DOI]

Xiaomao Deng

Xiao-Chuan Cai

J. Sci. Comput., 2016

2015

Direct Sampling Method for Diffusive Optical Tomography.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2015

Optimal Shape Design by Partial Spectral Data.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2015

Convergence of an adaptive finite element method for distributed flux reconstruction.

[BibT_eX]

[DOI]

Yifeng Xu

Math. Comput., 2015

2014

Edge Element Methods for Maxwell's Equations with Strong Convergence for Gauss' Laws.

[BibT_eX]

[DOI]

Patrick Ciarlet Jr.

Haijun Wu

SIAM J. Numer. Anal., 2014

The Concept of Heterogeneous Scattering Coefficients and Its Application in Inverse Medium Scattering.

[BibT_eX]

[DOI]

SIAM J. Math. Anal., 2014

Imaging wave-penetrable objects in a finite depth ocean.

[BibT_eX]

[DOI]

Keji Liu

Yongzhi Xu

Appl. Math. Comput., 2014

2013

A Substructuring Preconditioner for Three-Dimensional Maxwell's Equations.

[BibT_eX]

[DOI]

Shi Shu

Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

A discrete weighted Helmholtz decomposition and its application.

[BibT_eX]

[DOI]

Shi Shu

Numerische Mathematik, 2013

A two-stage method for inverse medium scattering.

[BibT_eX]

[DOI]

J. Comput. Phys., 2013

2010

Hierarchical Bayesian inference for Ill-posed problems via variational method.

[BibT_eX]

[DOI]

J. Comput. Phys., 2010

An adaptive inverse iteration for Maxwell eigenvalue problem based on edge elements.

[BibT_eX]

[DOI]

Junqing Chen

Yifeng Xu

J. Comput. Phys., 2010

2009

Numerical Estimation of Piecewise Constant Robin Coefficient.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2009

Studies on some perfectly matched layers for one-dimensional time-dependent systems.

[BibT_eX]

[DOI]

Yanping Lin

Kai Zhang

Adv. Comput. Math., 2009

2008

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

[BibT_eX]

[DOI]

Shi Shu

Math. Comput., 2008

Inversion of Robin coefficient by a spectral stochastic finite element approach.

[BibT_eX]

[DOI]

J. Comput. Phys., 2008

Evolutionary modeling based on overlap reuse.

[BibT_eX]

[DOI]

Proceedings of the IEEE Congress on Evolutionary Computation, 2008

2007

An Efficient Multilevel Algorithm for Inverse Scattering Problem.

[BibT_eX]

[DOI]

Jingzhi Li

Hongyu Liu

Proceedings of the Advances in Computation and Intelligence, 2007

2006

Nonlinear Inexact Uzawa Algorithms for Linear and Nonlinear Saddle-point Problems.

[BibT_eX]

[DOI]

SIAM J. Optim., 2006

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

[BibT_eX]

[DOI]

Ralf Hiptmair

Gisela Widmer

Numerische Mathematik, 2006

The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains.

[BibT_eX]

[DOI]

Numerische Mathematik, 2006

2005

The Fourier Singular Complement Method for the Poisson problem. Part I: prismatic domains.

[BibT_eX]

[DOI]

Numerische Mathematik, 2005

2004

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

[BibT_eX]

[DOI]

Math. Comput., 2004

An Evolutionary Algorithm for Parameters Identification in Parabolic Systems.

[BibT_eX]

[DOI]

Proceedings of the Genetic and Evolutionary Computation, 2004

2003

A Nonoverlapping Domain Decomposition Method for Maxwell's Equations in Three Dimensions.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2003

Convergence Analysis of a Finite Volume Method for Maxwell's Equations in Nonhomogeneous Media.

[BibT_eX]

[DOI]

Eric T. Chung

Qiang Du

SIAM J. Numer. Anal., 2003

The Eigenvalues and Eigenspaces of Some Discrete Div- and Curl-Related Operators.

[BibT_eX]

[DOI]

Eric T. Chung

SIAM J. Matrix Anal. Appl., 2003

An Inexact Uzawa-Type Iterative Method for Solving Saddle Point Problems.

[BibT_eX]

[DOI]

Xiao-Liang Cheng

Int. J. Comput. Math., 2003

2002

Two new variants of nonlinear inexact Uzawa algorithms for saddle-point problems.

[BibT_eX]

[DOI]

Numerische Mathematik, 2002

2001

An Iterative Method with Variable Relaxation Parameters for Saddle-Point Problems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2001

2000

Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients.

[BibT_eX]

[DOI]

Zhiming Chen

Qiang Du

SIAM J. Numer. Anal., 2000

1998

Some Nonoverlapping Domain Decomposition Methods.

[BibT_eX]

[DOI]

Jinchao Xu

SIAM Rev., 1998

Numerical methods for elliptic inverse problems.

[BibT_eX]

[DOI]