Finite Element Modeling: Introduction

This lecture introduces the concept of finite element modeling, which allows for numerical solutions to complex problems by dividing a complex geometry into smaller elements and modeling their response with algebraic equations. The instructor explains the importance of FEM in approximating solutions, predicting behavior, and limiting experiments. The lecture covers the concept and terminology of the Finite Element Method, discussing governing equations, boundary conditions, and the discretization process. It also explores the challenges, strengths, and common errors in FEM, emphasizing the importance of verification and validation. Additionally, the history, advantages, disadvantages, and procedural steps of FEM are discussed, providing insights into pre-processing, solution, and post-processing stages.