Finite Element Analysis of 1D Heat Conduction

Created using ChatSlide

This project focuses on the formulation and numerical solution of a 1D steady heat-conduction problem using the Finite Element Method (FEM). It begins with defining the problem and deriving the governing equations, followed by the development of the Galerkin weak form and the assembly of element matrices. The project emphasizes verification by comparing FEM results with analytical solutions, assessing error and convergence, and evaluating heat flux and energy balance.