mirok / inf5650

Notes and script for group exercises

                                                    INF5650

================================================================================================================================================= Notes and scripts for group exercises in INF5650, Numerical methods for partial differential equations 2, that I lead in spring semester of 2014. The scripts cover exercises from the lecture notes, but there are also many that show features that I consider interesting/amusing. These are as optional as one can get, however they might give a deeper insight into the covered topics. Structure of the repository follows roughly the chapters from lecture notes.

• Lecture-1,2 : A short look at functional analysis and Sobolev space, Crash course in Sobolev spaces

• Lecture-3,7 : The finite element method, Finite element error estimate

• Lecture-5 : Discretization of a convection-diffusion problem

• Lecture-6 : Stokes problem

• Lecture-8 : Iterative methods

• Lecture-11 : The incompressible Navier–Stokes equations

More information about the course can be found at UiO website http://www.uio.no/studier/emner/matnat/ifi/INF5650/

Scripts: All the scripts were written for FEniCS 1.3.0 and without minor tweaks might not work with prior or later releases. Typically dx --> dx(mesh) is required.