A linear potential reconstruction technique for cell-centered finite volume methods

This repository contains the necessary files to reproduce the results from [1].

Requirements

To reproduce the results, you will need Porepy (commit 10674a7) and quadpy (version 0.16.10) to be installed in a Python environment.

Reproducing the results

To reproduce the results, you should run the file run_analysis.py. This will create several txt files inside a (newly created) errors folder.

If you wish to generate the convergence plots, you can now run the file plot_rates.py. This will create several PDF files inside a (newly created) plots folder.

Citing

If you use (either all or a part of) the code present in this repository, we ask you to cite [1].

References

[1] Varela, J., Schaerer, C. E., & Keilegavlen., E. (2025). A linear potential reconstruction technique based on Raviart-Thomas basis functions for cell-centered finite volume approximations to the Darcy problem. Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 11(1). DOI: 10.5540/03.2025.011.01.0332