Solving 1D Steady State Linear Heat Conduction using Finite Element Method: A Case Study (KEY IJP************949)

• Rupak Sen

Abstract

The finite element method is a reliable computational technique to solve a range of complicated phenomena that would have been impossible to solve using analytical methods. The finite element method can be applied to any arbitrary shape in one, two, and three dimensions to observe the internal change due to applied boundary conditions. In this paper, we studied a steady-state linear heat conduction problem using the finite element method (FEM) for a simple 1D rod for a variable number of elements and linear and quadratic shape functions. We finally validated our results using analytical results and found an excellent match between the computational and analytical models.