Introduction to the Variational Methods in Finite Element Method (FEM)

Dec 05, 2025

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This chapter marks the beginning of Part II of the course, focused on the mathematical formulation of Finite Element Method (FEM) using energy-variational methods. Unlike the Method of Moments (MoM) covered in Chapter 5, this approach extends to two-dimensional and three-dimensional problems. We will revisit the bar element within the context of a variational framework, introducing key concepts and identifying Tonti's work in this area. This section aims to equip students with essential tools for advanced applications of FEM.

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Introduction to the Variational Methods in Finite Element Method (FEM)

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This Chapter begins Part II of the course, which covers the mathematical formulation of FEM, based on energy-variational methods The main advantage over the MoM approach of Chapter 5 is extendibility to 2D and 3D We begin with doing the bar element again, but now with a variational framework