Bayesian inverse problems for partial differential equations with discontinuous coefficients: an adaptive finite element approach

• المؤلف الرئيسي: Oh, Wei Yuan
• مؤلفون آخرون: Hoang Viet Ha
• التنسيق: Final Year Project
• اللغة: English
• منشور في: Nanyang Technological University 2025
• الموضوعات: Mathematical Sciences
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/184417
• المؤسسة: Nanyang Technological University

This thesis addresses a challenging class of inverse problems in which one seeks to identify an inclusion within a physical domain by observing noisy, indirect measurements of the underlying system. We adopt a Bayesian framework, treating the unknown parameters as random variables and combining prio...