Bayesian inversion of eikonal equations

• Main Author: Yeo, Zhan Fei
• Other Authors: Hoang Viet Ha
• Format: Thesis-Doctor of Philosophy
• Language: English
• Published: Nanyang Technological University 2024
• Subjects: Science::Mathematics::Applied mathematics::Numerical analysis; Engineering::Computer science and engineering::Mathematics of computing::Numerical analysis; Science::Physics::Acoustics
• Online Access: https://hdl.handle.net/10356/172963
• Institution: Nanyang Technological University

We consider Bayesian inversion for eikonal equations subjected to the point source and Soner Boundary conditions. For every setting, we show Hadamard well-posedness rigorously by exploiting Lagrangian duality. In the isotropic setting, discretisation errors from finitely truncating the slowness e...