Ying Liang

Journal Article Journal of Mathematical Physics · July 1, 2024 In this paper, we revisit the classic problem of diffraction of electromagnetic waves by an aperture in a perfectly conducting plane. We formulate the diffraction problem using a boundary integral equation that is defined on the aperture using Dyadic Green ... Full text Cite

A Direct Probing Method of an Inverse Problem for the Eikonal Equation

Journal Article SIAM Journal on Scientific Computing · April 30, 2024 Full text Cite

Stability for Inverse Source Problems of the Stochastic Helmholtz Equation with a White Noise

Journal Article SIAM Journal on Applied Mathematics · April 30, 2024 Full text Cite

A Data-Assisted Two-Stage Method for the Inverse Random Source Problem

Journal Article SIAM Journal on Imaging Sciences · December 31, 2023 Full text Cite

Least-squares method for recovering multiple medium parameters

Journal Article Inverse Problems · December 1, 2022 AbstractWe present a two-stage least-squares method for inverse medium problems of reconstructing multiple unknown coefficients simultaneously from noisy data. A direct sampling method is applied to detect t ... Full text Cite

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

Journal Article Numerical Algorithms · January 2021 Full text Cite

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

Journal Article SIAM Journal on Applied Mathematics · January 2020 Full text Cite