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I finally understood the weak formulation for finite element analysis

The weak formulation is indispensable for solving partial differential equations with numerical methods like the finite element method. Yet, the concept of the weak formulation is not easy to understand by just staring at the formulae. This video aims to visually explore the weak formulation following a simple example, i.e., the one-dimensional Poission equation with Dirichlet and Neumann boundary condition. 0:00 Introduction 1:36 The Strong Formulation 8:08 The Weak Formulation 20:09 Partial Integration 23:21 The Finite Element Method 27:57 Outlook Recommendations: Finite Element Method - Numerical Analysis by Julian Roth    • Finite Element Method   A Brief Introduction to the Weak Form - Chien Liu https://www.comsol.com/blogs/brief-in... The Mathematical Theory of Finite Element Methods - S. C. Brenner and L. R. Scott https://link.springer.com/book/10.100... Music: Swans In Flight - Asher Fulero