Part of the Mathematics Commons

Works by Jiguang Sun in Mathematics

2023

Deterministic-statistical approach for an inverse acoustic source problem using multiple frequency limited aperture data, Yanfang Liu, Zhizhang Wu, Jiguang Sun, Zhiwen Zhang
Michigan Tech Publications

Analysis of a Fourier–Galerkin Method for the Transmission Eigenvalue Problem based on a Boundary Integral Formulation, Yunyun Ma, Jiguang Sun
Michigan Tech Publications

Band Structure Calculations of Dispersive Photonic Crystals in 3D using Holomorphic Operator Functions, Wenqiang Xiao, Bo Gong, Junshan Lin, Jiguang Sun
Michigan Tech Publications

REGULAR CONVERGENCE AND FINITE ELEMENT METHODS FOR EIGENVALUE PROBLEMS, Bo Gong, Jiguang Sun
Michigan Tech Publications

2022

Local estimators and Bayesian inverse problems with non-unique solutions, Jiguang Sun
Michigan Tech Publications

FE-holomorphic operator function method for nonlinear plate vibrations with elastically added masses, Xiangying Pang, Jiguang Sun, Zhimin Zhang
Michigan Tech Publications

A priori and a posteriori error estimates for the quad-curl eigenvalue problem, Lixiu Wang, Qian Zhang, Jiguang Sun, Zhimin Zhang
Michigan Tech Publications

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Integral Equation Method for a Non-Selfadjoint Steklov Eigenvalue Problem, Yunyun Ma, Jiguang Sun
Michigan Tech Publications

A priori and a posteriori error estimates for the quad-curl eigenvalue problem, Lixiu Wang, Qian Zhang, Jiguang Sun, Zhimin Zhang
Michigan Tech Publications

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2021

Bayesian inversion for an inverse spectral problem of transmission eigenvalues, Yanfang Liu, Jiguang Sun
Michigan Tech Publications

An extended sampling-ensemble Kalman filter approach for partial data inverse elastic problems, Zhaoxing Li, Jiguang Sun, Liwei Xu
Michigan Tech Publications

A deterministic-statistical approach to reconstruct moving sources using sparse partial data, Yanfang Liu, Yukun Guo, Jiguang Sun
Michigan Tech Publications

Finite Element Calculation of Photonic Band Structures for Frequency Dependent Materials, Wenqiang Xiao, Bo Gong, Jiguang Sun, Zhimin Zhang
Michigan Tech Publications

Quality-bayesian approach to inverse acoustic source problems with partial data, Zhaoxing Li, Yanfang Liu, Jiguang Sun, Liwei Xu
Michigan Tech Publications

Band structure calculation of photonic crystals with frequency-dependent permittivities, Wenqiang Xiao, Jiguang Sun
Michigan Tech Publications

2020

A new finite element approach for the Dirichlet eigenvalue problem, Wenqiang Xiao, Bo Gong, Jiguang Sun, Zhimin Zhang
Michigan Tech Publications

Computation of interior elastic transmission eigenvalues using a conforming finite element and the secant method, Xia Ji, Peijun Li, Jiguang Sun
Michigan Tech Publications

A shifted-inverse adaptive multigrid method for the elastic eigenvalue problem, Bo Gong, Jiayu Han, Jiguang Sun, Zhimin Zhang
Michigan Tech Publications

Fast acoustic source imaging using multi-frequency sparse data, Ala Mahmood Nahar Al Zaalig, Guanghui Hu, Xiaodong Liu, Jiguang Sun
Michigan Tech Publications

2019

Revisiting the Jones eigenproblem in fluid-structure interaction, Sebastián Domínguez, Nilima A. Nigam, Jiguang Sun
Michigan Tech Publications

An inverse medium problem using Stekloff eigenvalues and a Bayesian approach, Juan Liu, Yanfang Liu, Jiguang Sun
Michigan Tech Publications

A curl-conforming weak Galerkin method for the quad-curl problem, Jiguang Sun, Qian Zhang, Zhimin Zhang
Michigan Tech Publications

2018

Through-wall detection of the moving paths and vital signs of human beings, Kun Wang, Zhaofa Zeng, Jiguang Sun
Michigan Tech Publications

Data recovery in inverse scattering: From limited-aperture to full-aperture, Xiaodong Liu, Jiguang Sun
Michigan Tech Publications

Recursive integral method with Cayley transformation, R. Huang, Jiguang Sun, C. Yang
Michigan Tech Publications

Extended sampling method in inverse scattering, Juan Liu, Jiguang Sun
Michigan Tech Publications

The reconstruction of obstacles in a waveguide using finite elements, Ruming Zhang, Jiguang Sun
Michigan Tech Publications

2017

Hodge Decomposition Methods for a Quad-Curl Problem on Planar Domains, Susanne C. Brenner, Jiguang Sun, Li yeng Sung
Michigan Tech Publications

2016

C0IP Methods for the Transmission Eigenvalue Problem, Hongrui Geng, Xia Ji, Jiguang Sun, Liwei Xu
Michigan Tech Publications

C0IPG for a Fourth Order Eigenvalue Problem, Xia Ji, Hongrui Geng, Jiguang Sun, Liwei Xu
Michigan Tech Publications

A mixed FEM for the quad-curl eigenvalue problem, Jiguang Sun
Michigan Tech Publications

2015

C0 interior penalty galerkin method for biharmonic eigenvalue problems, Susanne C. Brenner, Peter Monk, Jiguang Sun
Michigan Tech Publications

Some results on electromagnetic transmission eigenvalues, Fang Zeng, Tiara Turner, Jiguang Sun
Michigan Tech Publications

2014

A multigrid method for Helmholtz transmission eigenvalue problems, Xia Ji, Jiguang Sun, Hehu Xie
Michigan Tech Publications