Homogenisation and approximation of solutions to multiscale problem

• Main Author: Khoo, Freddy Hong Shan
• Other Authors: Hoang Viet Ha
• Format: Final Year Project
• Language: English
• Published: Nanyang Technological University 2023
• Subjects: Science::Mathematics
• Online Access: https://hdl.handle.net/10356/166449
• Institution: Nanyang Technological University

This paper focuses on the homogenization problem of a steady-state diffusion problem in a heterogeneous medium, with the objective of describing the global behavior of a finely distributed medium whose constituents are periodic. Firstly, a two-scale elliptic equation was utilized, with $x$ represent...