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A project for my functional analysis course applied on Dirichlet equation

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Functional Analysis Project

University project proposed in the "Functional Analysis" course in the 1st year of MSc of Computer Science in Imaging & Machine Learning at the University of Caen Normandy in order to implement a mesh composed with triangles on 2-dimensionnal plan with the Dirichlet equation.

Table of contents

Setup

The project being realized in Python, Python must be installed on the machine (version 3).

To install the packages (if they are not already installed), you can install them in two ways:

  • via pipenv (creates an isolated virtual environment): ``sh $ pipenv install $ pipenv shell
  To leave the runtime environment, you must use the `deactivate` command to deactivate the isolated Python environment.
- or via the `requirements.txt` file (within a virtual environment or not) :
``sh
pip3 install -r requirements.txt

(under Windows, replace pip3 with pip)

Translated with www.DeepL.com/Translator (free version).

Commands

Warning : If you are on Windows, replace python3 with python in the commands below.

Three files can be executed (corresponding to the first three exercises of the project):

  • exercise1.py : python3 exercise1.py
  • exercise2.py: python3 exercise2.py.
  • exercise3.py : python3 exercise3.py No arguments have to be passed. All the parameters related to the exercises are already filled in the main of each of the above mentioned files.

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License

Project under the MIT license.

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A project for my functional analysis course applied on Dirichlet equation

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