MG-Lite - Multigrid Tutorial with Python

MG-Lite is a multigrid solver written in Python. It solves a very simple one-dimensional Poisson equation to demonstrate the working of the multigrid V-cycle. The solver uses PyQt5 to generate its GUI, through which the user can tweak multi-grid parameters and plot results. The file mgLite.py contains the multi-grid algorithm, while main.py draws the PyQt5 GUI.

Installing MG-Lite

To install MG-Lite, you need to first clone the git repository into your local machine

git clone https://github.com/roshansamuel/mg-lite.git

MG-Lite is compatible with Python3, and can be executed by one of the following commands at the root folder of the solver, in the terminal.

./main.py

or

python main.py

The solver also supports command line execution without using the GUI. This can be done by invoking the solver directly by ./mgLite.py or python mgLite.py at the command line. Note that in this case, the solver will use the default values of multi-grid parameters written in the file mgLite.py.

Please make sure that the following Python modules are installed before executing the solver.

• numpy - All array manipulations are performed using NumPy
• matplotlib - Results from the solver are plotted using the matplotlib library
• PyQt5 - The GUI of MG-Lite uses PyQt5

License

MG-Lite is an open-source package made available under the New BSD License.

References

Below is a list of useful articles that explains the multigrid-method used by MG-Lite

Articles on multi-grid methods

1. http://math.mit.edu/classes/18.086/2006/am63.pdf
2. http://www.mgnet.org/mgnet-tuts.html