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State of the Field (#62)
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Update paper.md

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Signed-off-by: Umberto Zerbinati <[email protected]>
Co-authored-by: Umberto Zerbinati <[email protected]>
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81 changes: 81 additions & 0 deletions paper/paper.bib
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Expand Up @@ -24,6 +24,23 @@ @article{Firedrake
year={2023},
doi= {10.25561/104839}
}
@article{TETGEN,
author = {Si, Hang},
title = {TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator},
year = {2015},
issue_date = {January 2015},
publisher = {Association for Computing Machinery},
address = {New York, NY, USA},
volume = {41},
number = {2},
issn = {0098-3500},
url = {https://doi.org/10.1145/2629697},
doi = {10.1145/2629697},
journal = {ACM Trans. Math. Softw.},
month = feb,
articleno = {11},
numpages = {36}
}
@techreport{PETSc,
author={Satish Balay and Shrirang Abhyankar and Mark~F. Adams and Steven Benson and Jed
Brown and Peter Brune and Kris Buschelman and Emil Constantinescu and Lisandro
Expand Down Expand Up @@ -181,3 +198,67 @@ @article{stevenson2006
R.},
year={2006},
pages={245--269} }
@article{FreeFEM,
title={FreeFem++ manual},
author={Hecht, Fr{\'e}d{\'e}ric and Pironneau, Olivier and Le Hyaric, A and Ohtsuka, K},
journal={Laboratoire Jacques Louis Lions},
year={2005}
}
@Article{DUNE,
author={Dedner, Andreas
and Kl{\"o}fkorn, Robert
and Nolte, Martin
and Ohlberger, Mario},
title={A generic interface for parallel and adaptive discretization schemes: abstraction principles and the Dune-Fem module},
journal={Computing},
year={2010},
month={Nov},
day={01},
volume={90},
number={3},
pages={165-196},
issn={1436-5057},
doi={10.1007/s00607-010-0110-3},
url={https://doi.org/10.1007/s00607-010-0110-3}
}
@Article{dealII,
title = {The \texttt{deal.II} Library, Version 9.5},
author = {Daniel Arndt and Wolfgang Bangerth and Maximilian Bergbauer and
Marco Feder and Marc Fehling and Johannes Heinz and
Timo Heister and Luca Heltai and Martin Kronbichler and
Matthias Maier and Peter Munch and Jean-Paul Pelteret and
Bruno Turcksin and David Wells and Stefano Zampini},
journal = {Journal of Numerical Mathematics},
year = {2023},
doi = {10.1515/jnma-2023-0089},
pages = {231--246},
volume = {31},
number = {3},
url = {https://dealii.org/deal95-preprint.pdf}
}
@misc{dolfinX,
author = {Baratta, Igor A. and
Dean, Joseph P. and
Dokken, Jørgen S. and
Habera, Michal and
Hale, Jack S. and
Richardson, Chris N. and
Rognes, Marie E. and
Scroggs, Matthew W. and
Sime, Nathan and
Wells, Garth N.},
title = {{DOLFINx: The next generation FEniCS problem solving environment}},
month = dec,
year = 2023,
publisher = {Zenodo},
doi = {10.5281/zenodo.10447666},
url = {https://doi.org/10.5281/zenodo.10447666}
}
@article{GMSH,
title={A three-dimensional finite element mesh generator with built-in pre-and post-processing facilities},
author={Geuzaine, Christophe and Remacle, Jean-Fran{\c{c}}ois},
journal={International Journal for Numerical Methods in Engineering},
volume={11},
pages={79},
year={2020}
}
22 changes: 16 additions & 6 deletions paper/paper.md
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Expand Up @@ -12,15 +12,23 @@ authors:
- name: Patrick E. Farrell
orcid: 0000-0002-1241-7060
equal-contrib: true
affiliation: 3
- name: Matthias Hochsteger
orcid: 0009-0001-8842-3221
equal-contrib: true
affiliation: 2
- name: Christopher Lackner
orcid: 0009-0000-3448-3002
equal-contrib: true
affiliation: 2
- name: Joachim Schöberl
affiliation: 3
affiliation: 2,4
equal-contrib: true
orcid: 0000-0002-1250-5087
- name: Stefano Zampini
orcid: 0000-0002-0435-0433
equal-contrib: true
affiliation: 4
affiliation: 5
- name: Umberto Zerbinati
orcid: 0000-0002-2577-1106
corresponding: true
Expand All @@ -29,19 +37,21 @@ authors:
affiliations:
- name: Imperial College London, United Kingdom
index: 1
- name: University of Oxford, United Kingdom
- name: CERBSim GmbH, Austria
index: 2
- name: TU Wien, Austria
- name: University of Oxford, United Kingdom
index: 3
- name: King Abdullah University of Science and Technology, Saudi Arabia
- name: TU Wien, Austria
index: 4
- name: King Abdullah University of Science and Technology, Saudi Arabia
index: 5
date: 1 July 2024
bibliography: paper.bib
---

# Summary

Combining advanced meshing techniques with robust solver capabilities is essential for solving difficult problems in computational science and engineering. This paper introduces ngsPETSc, software built with petsc4py [@petsc4py] that seamlessly integrates the NETGEN mesher [@Netgen], the NGSolve finite element library [@NGSolve], and the PETSc toolkit [@PETSc]. ngsPETSc enables the use of NETGEN meshes and geometries in PETSc-based solvers, and provides NGSolve users access to the wide array of linear, nonlinear solvers, and time-steppers available in PETSc.
Combining advanced meshing techniques with robust solver capabilities is essential for solving difficult problems in computational science and engineering. In recent years, various software packages have been developed to support the integration of meshing tools with finite element solvers. To mention a few, FreeFEM [@FreeFEM] includes built-in support for mesh generation, allowing users to create and manipulate meshes directly within the software. Similarly, deal.II [@dealII] provides a GridGenerator class for generating standard mesh geometries like grids and cylinders. Furthermore, deal.II can interface with OpenCASCADE [@OpenCASCADE] to refine existing grids while conforming to the geometry provided. Other finite element libraries, such as Firedrake [@Firedrake], DUNE-FEM [@DUNE], and FEniCSx [@dolfinX], rely on external tools like Gmsh [@GMSH] and Tetgen [@TETGEN] for mesh generation. This paper introduces ngsPETSc, software built with petsc4py [@petsc4py] that seamlessly integrates the NETGEN mesher [@Netgen], the NGSolve finite element library [@NGSolve], and the PETSc toolkit [@PETSc]. ngsPETSc enables the use of NETGEN meshes and geometries in PETSc-based solvers, and provides NGSolve users access to the wide array of linear, nonlinear solvers, and time-steppers available in PETSc.

# Statement of Need

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