The Finite Element Method (FEM) is a numerical technique extensively used in engineering and applied sciences for solving complex problems involving partial differential equations (PDEs). This brief study provides an overview of the Finite Element Method, its underlying principles, and its applications. The study explores the key components of the FEM, such as the discretization of the problem domain, the interpolation functions used to approximate the solution, and the assembly of the global system of equations. It also discusses the numerical solution process, including the calculation of element stiffness matrices, the imposition of boundary conditions, and the solution of the resulting system of equations. Furthermore, the study highlights the advantages and limitations of the Finite Element Method and presents some notable applications across various disciplines. Overall, this study serves as a concise introduction to the Finite Element Method, offering insights into its fundamental concepts and its significance in engineering and scientific research.

Finite Element Method, Partial Differential Equations, Discretization, Interpolation Functions, Global System of Equations, Element Stiffness Matrices, Boundary Conditions, Numerical Solution, Applications.