Additional material for computational geophysics course
This repository holds additional course material to teach computational geophysics.
An introduction to finite-difference, pseudo-spectral, finite-element, and spectral-element methods will be presented
and applied to basic geophysical problems including heat flow and wave propagation.
The course offers hands-on lab experience in numerically solving partial differential equations relevant to geophysics.
The material in this repository is used for teaching purposes. You may reuse it freely to produce, share and build on knowledge - education is open to all.
During the pandemic year 2020, we recorded the online classes. They are provided below as youtube videos.
The video lectures are:
| Lecture | youtube video |
|---|---|
| welcome |  |
| 1 - conservation of mass |  |
| 2 - conservation of linear momentum |  |
| 3 - conservation of energy |  |
| 4 - conservation of angular momentum |  |
| 5 - stability analysis |  |
| 6 - higher order finite-differences |  |
| 7 - pseudo-spectral method |  |
| 8 - finite-element method - part 1 |  |
| 9 - finite-element method - part 2 |  |
| 10 - finite-element method - part 3 |  |
| 11 - finite-element method - heat transfer |  |
| 12 - spectral-element method - part 1 |  |
| 13 - spectral-element method - part 2 |  |
| 14 - spectral-element method - homework |  |
| 15 - spectral-element method - homework wave equation |  |
| 16 - spectral-element method - Newmark time scheme |  |
| 17 - class - summary and discussion |  |
| 18 - finite-volume method - part 1 |  |
| 19 - finite-volume method - part 2 |  |
| 20 - finite-volume method - wave equation |  |
| 21 - finite-volume method - wave equation 2 |  |
that’s all. the videos are quite embarrassing, i’m speaking very slowly and keep saying “basically” :) but I hope you find some interesting bits and pieces.