PEMesh

A Graphical Framework to Study the Correlation between Geometric Design and Simulation.

Dependencies

The framework depends on:

• the cinolib library (commit 00b270d), which is included as a submodule ;
• Triangle library, which is included as a submodule;
• Qt framework, including Qt Charts module, which is assumed to be installed on the local machine (version 5.12.0);
• Boost library, which is assumed to be installed on the local machine.

How to make it work

Please, use --recursive when cloning this repository.

git clone --recursive https://github.com/DanielaCabiddu/PEMesh

In the following, please consider ${REPO_ROOT} variable as the folder where this README.md lies. PMesh can be built by running either QMake or CMake. In both cases, the PMesh executable will be available in the ${REPO_ROOT}/build folder.

QMake

First, build triangle library

cd ${REPO_ROOT}/external/triangle
mkdir build
cd build
cmake ..
make

Then, build PEMesh by running the following commands:

mkdir -p ${REPO_ROOT}/build
cd build
qmake ../src/PMesh.pro

CMake

Run the following commands:

mkdir -p ${REPO_ROOT}/build
cd build
cmake ../src

Triangle library will be automatically built by CMake.

Other Authors

• Giuseppe Patanè (CNR IMATI), Michela Spagnuolo (CNR IMATI)

Citing us

PEMesh has been published as a Software Paper (https://diglib.eg.org/bitstream/handle/10.2312/stag20221251/011-019.pdf?sequence=1&isAllowed=y).

If you use PEMesh in your academic projects, please consider citing it using the following BibTeX entries:

@inproceedings {pemesh-stag2022,
booktitle = {Smart Tools and Applications in Graphics - Eurographics Italian Chapter Conference},
editor = {Cabiddu, Daniela and Schneider, Teseo and Allegra, Dario and Catalano, Chiara Eva and Cherchi, Gianmarco and Scateni, Riccardo},
title = {{A Graphical Framework to Study the Correlation between Geometric Design and Simulation}},
author = {Cabiddu, Daniela and Patané, Giuseppe and Spagnuolo, Michela},
year = {2022},
publisher = {The Eurographics Association},
ISSN = {2617-4855},
ISBN = {978-3-03868-191-5},
DOI = {10.2312/stag.20221251}
}

@article{benchmark-mcs,
title = {Benchmarking the geometrical robustness of a Virtual Element Poisson solver},
journal = {Mathematics and Computers in Simulation},
volume = {190},
pages = {1392-1414},
year = {2021},
issn = {0378-4754},
doi = {https://doi.org/10.1016/j.matcom.2021.07.018},
url = {https://www.sciencedirect.com/science/article/pii/S0378475421002706},
author = {Marco Attene and Silvia Biasotti and Silvia Bertoluzza and Daniela Cabiddu and Marco Livesu and Giuseppe Patanè and Micol Pennacchio and Daniele Prada and Michela Spagnuolo},
keywords = {Polytopal Element Methods, Virtual Element Methods, Polygonal meshes, Geometric metrics, Geometry-PEM correlation}
}

@inbook{vem-and-the-mesh,
author={ Sorgente, Tommaso and Prada, Daniele and  Cabiddu, Daniela and Biasotti, Silvia and  Patanè, Giuseppe and Pennacchio, Micol  and  Bertoluzza, Silvia and  Manzini, Gianmarco and  Spagnuolo, Michela},
title={VEM and the Mesh},
year={2022},
publisher={Springer Nature Switzerland},
address={Basel},
volume={31},
pages={1--57},
booktitle={The Virtual Element Method and its Applications},
url={https://link.springer.com/book/10.1007/978-3-030-95319-5},
series={SEMA SIMAI Springer Series},
isbn={978-3-030-95318-8},
issn={2199-3041},
doi={10.1007/978-3-030-95319-5},
affiliation={IMATI-CNR, Genova, Pavia, Italy},
language={eng}
}

Acknowledgements

This paper has been realized in the framework of ERC Project CHANGE (https://cordis.europa.eu/project/id/694515), which has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 694515).

Special thanks to Marco Livesu for sharing with us the source code to generate parametric polygons and compute geometric metrics.