Finite Element Methods (FEM) are numerical techniques used to find approximate solutions to complex engineering and physical problems. By breaking down a large system into smaller, simpler parts called elements, FEM allows for detailed analysis of structures, heat transfer, fluid dynamics, and more. Each element is connected at points called nodes, forming a mesh that represents the entire system. This method is particularly useful in structural analysis, where it helps engineers predict how materials will behave under various conditions. FEM can handle irregular shapes and varying material properties, making it a versatile tool in fields like mechanical engineering, civil engineering, and aerospace engineering.