Finite element method is a powerful computational technique used to obtain approximate solutions to boundary value problems for partial differential equations. This widely applied numerical approach discretizes a continuous domain into a finite number of interconnected subdomains called elements, approximating the solution within each element using piecewise polynomial functions. It is a fundamental tool in computational science and engineering, enabling the simulation and analysis of diverse physical phenomena across fields like structural mechanics, heat transfer, fluid dynamics, and electromagnetism, particularly for systems with complex geometries or material properties where analytical solutions are not feasible.