Finite element methods

Finite Element Methods (FEM) are computational techniques used to analyze complex structures and systems in engineering and physics. Instead of solving a problem all at once, FEM breaks it down into smaller, simpler parts, called finite elements, usually shaped like triangles or squares. By examining how each small element behaves, we can understand the entire system's performance. This approach allows engineers to predict how materials will react to forces, temperatures, and other factors, leading to safer and more efficient designs in everything from bridges to aircraft.