Finite Element Method

This video explains how Partial Differential Equations (PDEs) can be solved numerically with the Finite Element Method. For more information on this topic please check out Prof. Wick's lecture notes on "Numerical Methods for Partial Differential Equations":
https://doi.org/10.15488/9248


---- Timestamps ----

00:00 Intro
00:11 Motivation
00:45 Overview
01:47 Poisson's equation
03:18 Equivalent formulations
09:56 Mesh
10:20 Finite Element
11:02 Basis functions
14:02 Linear system
15:53 Evaluate integrals
19:42 Assembly
21:17 Numerical quadrature
23:44 Master element
25:42 Solution
26:42 Mesh in 2D
27:15 Basis functions in 2D
28:37 Solution in 2D
29:04 Summary
29:53 Further topics
32:10 Credits



Created by:
   Julian Roth & Max Schröder
Corrected by:
   Jan Philipp Thiele & Thomas Wick
Translated to Spanish by:
   Gina Kleinsteinberg