Finite Element Method (FEM)

The Finite Element Method (FEM) is a powerful numerical technique used in system modeling to find approximate solutions for complex problems, particularly those described by partial differential equations. The core principle involves discretizing a large, continuous domain (like a physical structure or fluid volume) into a finite number of smaller, simpler, and interconnected subdomains called "finite elements." Within each element, the complex physical behavior is approximated by a simple function, and these individual approximations are then assembled into a large system of algebraic equations that a computer can solve to model the behavior of the entire system, enabling the analysis of phenomena such as stress, heat transfer, and fluid dynamics in intricate geometries.