2022-11-17 12:23 Status: #addto # Galerkin's Method Generates approximate solutions to differential equations. Improvement upon the Ritz method. Family of methods known as "Methods of weighted residuals". Example: cantilevered beam with distributed load.  The governing equation is differential. Assume an approximation using a linear combination of displacements. Tilda shows an approximation.  R is an error - we would like to drive it to zero. That can only happen when we have the solution! [^good_vibr] Questions [^1] --- # References [^1]: [Galerkin Method + Solved EXAMPLE | Finite Element Method - YouTube](https://www.youtube.com/watch?v=3xWegh22SBk) [^good_vibr]: [Approximate Solutions - The Galerkin Method - YouTube](https://www.youtube.com/watch?v=JmjdwhBkvq8)