FEM, or "Finite Element Method," is a numerical technique used in engineering and mathematical analysis for approximating and solving complex physical problems. It is a widely adopted methodology that breaks down a complex system into smaller, simpler parts called finite elements to analyze or simulate their behavior.
The Finite Element Method involves dividing a continuous domain, such as a solid object or a region, into small interconnected elements. Each element is represented by a set of mathematical equations that approximate the governing physical laws within that element. These equations can represent various physical phenomena, including structural mechanics, fluid flow, heat transfer, and electromagnetic fields.
By solving the equations for each element and combining the results, the overall behavior of the system can be determined. This provides engineers and scientists with valuable insights into the performance, response, and characteristics of a wide range of physical systems.
The FEM has revolutionized the field of engineering analysis by allowing complex problems to be solved using computer simulations. It enables researchers to evaluate the behavior of systems that are too expensive, time-consuming, or impossible to study through experimental means alone. The method is widely applied across several disciplines, including civil, mechanical, aerospace, and biomedical engineering, as well as physics and applied mathematics. Additionally, it has become an essential tool for designing and analyzing structures, optimizing designs, and predicting the behavior of materials under different conditions.
