ATM Workshop on PDE and Mechanics

Kerala School of Mathematics
1-6 Feb., 2016
Kozhikode, Kerala
Supported by National Center for Mathematics
www: http://www.atmschools.org/2016/atmw/pdem

Topics

Discontinuous Galerkin (DG) method for scalar conservation laws, semi-discrete scheme, numerical flux, L2 stability, entropy condition, basis functions, quadrature, Runge-Kutta scheme, numerical implementation, linear and non-linear examples, TVD and TVB limiter

Notes

Get a pdf of the notes here.

Codes

The following codes are written in C++ using the deal.II library. You need to install deal.II for these codes to work. At the time of this workshop, we used deal.II version 8.3.0.

  1. Linear convection equation in 1-D
  2. Non-linear conservation law (Burgers equation)
  3. Linear convection equation in 2-D

You can read the codes on github where some more information is available on how to run the codes. You can also download the code using git

git clone git@github.com:cpraveen/ncmatmw2016.git

Or, download a zip file of all the code.