Finite Element Method: Basics and Applications

This lecture introduces the fundamental concepts of the finite element method, covering one-dimensional and two-dimensional boundary problems, basics of functional analysis, and examples of case studies. The course aims to equip students with the ability to apply the finite element method to simple problems, understand its practical applications, and gain a theoretical initiation to this technique. Topics include statics, stress analysis, numerical analysis, and structural mechanics. The lecture also delves into the classification of solving methods, spatial discretization, and application examples like temperature distribution on the surface of an A320 in flight.