Basic FEM - Piecewise Approximation using Galerkin's method

More info on the course site: https://basicfem.ju.se/PiecewiseFunctionApproximation/ 00:00 Intro to piecewise approximations 01:24 Linear approximation recap 06:46 Splitting the domain 13:26 Piecewise approximation approach - mathematic preliminaries 18:52 Piecewise approximation - matlab implementation 21:22 Visualizing the nodes 22:45 Node connectivity structure 26:29 The for loop - visualizing the elements 29:45 Degrees of freedom 31:00 Pre-allocation 36:22 The element mass matrix and load vector 47:56 The assembly process 50:05 Solving the system of equations 55:53 Visualizing the solution 58:48 Computing the L2 error 1:03:27 Convergence analysis