2 papers
math.NA2025
A Machine Learning and Finite Element Framework for Inverse Elliptic PDEs via Dirichlet-to-Neumann Mapping
Dabin Park, Sanghyun Lee, Sunghwan Moon
Inverse problems for Partial Differential Equations (PDEs) are crucial in numerous applications such as geophysics, biomedical imaging, and material science, where unknown physical…
math.NA2024
Implicit learning to determine variable sound speed and the reconstruction operator in photoacoustic tomography
Gyeongha Hwang, Gihyeon Jeon, Sunghwan Moon +1
Photoacoustic tomography (PAT) is a hybrid medical imaging technique that offer high contrast and a high spatial resolution. One challenging mathematical problem associated with PA…