Starting in the spring 2013, I videotaped the lectures for my MATH 676: Finite element methods in scientific computing course at the KAMU TV studio at Texas A&M. These are lectures on many aspects of scientific computing, software, and the practical aspects of the finite element method, as well as their implementation in the deal.II software library. Support for creating these videos was also provided by the National Science Foundation and the Computational Infrastructure in Geodynamics.
Note: In some of the videos, I demonstrate code or user interfaces. If you can't read the text, change the video quality by clicking on the "gear" symbol at the bottom right of the YouTube player.
Lecture 19: Problems with more than one solution variable
Most practical problems have more than one solution variable. In deal.II notation, we call such problems "vector-valued". This lecture explores how to approach such problems in a systematic way, how to arrive at the bilinear form, and how to translate it into deal.II.
Slides: click here