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[WIP] Converting latex docs on DEC.
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alucantonio committed Feb 26, 2025
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150 changes: 150 additions & 0 deletions docs/bibliography.bib
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@book{grady2010discrete,
title={Discrete calculus: Applied analysis on graphs for computational science},
author={Grady, Leo J and Polimeni, Jonathan R},
volume={3},
year={2010},
publisher={Springer}
}
@book{tonti2013mathematical,
title={The mathematical structure of classical and relativistic physics},
author={Tonti, Enzo},
volume={10},
year={2013},
publisher={Springer}
}
@book{hirani2003discrete,
title={Discrete exterior calculus},
author={Hirani, Anil Nirmal},
year={2003},
publisher={California Institute of Technology}
}
@article{crane2018discrete,
title={Discrete differential geometry: An applied introduction},
author={Crane, Keenan},
journal={Notices of the AMS, Communication},
pages={1153--1159},
year={2018}
}
@book{epstein2010geometrical,
title={The geometrical language of continuum mechanics},
author={Epstein, Marcelo},
year={2010},
publisher={Cambridge University Press}
}
@article{lohi2021whitney,
title={Whitney forms and their extensions},
author={Lohi, Jonni and Kettunen, Lauri},
journal={Journal of Computational and Applied Mathematics},
volume={393},
pages={113520},
year={2021},
publisher={Elsevier}
}
@article{berwick2021discrete,
title={Discrete Vector Bundles with Connection and the Bianchi Identity},
author={Berwick-Evans, Daniel and Hirani, Anil N and Schubel, Mark D},
journal={arXiv preprint arXiv:2104.10277},
year={2021}
}
@article{boom2022geometric,
title={A geometric formulation of linear elasticity based on discrete exterior calculus},
author={Boom, Pieter D and Kosmas, Odysseas and Margetts, Lee and Jivkov, Andrey P},
journal={International Journal of Solids and Structures},
volume={236},
pages={111345},
year={2022},
publisher={Elsevier}
}
@article{grinspun2006discrete,
title={Discrete differential geometry: an applied introduction},
author={Grinspun, Eitan and Desbrun, Mathieu and Polthier, Konrad and Schr{\"o}der, Peter and Stern, Ari},
journal={ACM Siggraph Course},
volume={7},
number={1},
year={2006},
publisher={Citeseer}
}
@book{flanders1963differential,
title={Differential forms with applications to the physical sciences},
author={Flanders, Harley},
volume={11},
year={1963},
publisher={Courier Corporation}
}
@book{frankel2011geometry,
title={The geometry of physics: an introduction},
author={Frankel, Theodore},
year={2011},
publisher={Cambridge university press}
}
@article{desbrun2005discrete,
title={Discrete exterior calculus},
author={Desbrun, Mathieu and Hirani, Anil N and Leok, Melvin and Marsden, Jerrold E},
journal={arXiv preprint math/0508341},
year={2005}
}
@book{darling1994differential,
title={Differential forms and connections},
author={Darling, Richard WR},
year={1994},
publisher={Cambridge University Press}
}
@article{de2016subdivision,
title={Subdivision exterior calculus for geometry processing},
author={De Goes, Fernando and Desbrun, Mathieu and Meyer, Mark and DeRose, Tony},
journal={ACM Transactions on Graphics (TOG)},
volume={35},
number={4},
pages={1--11},
year={2016},
publisher={ACM New York, NY, USA}
}
@article{schulz2020convergence,
title={Convergence of discrete exterior calculus approximations for Poisson problems},
author={Schulz, Erick and Tsogtgerel, Gantumur},
journal={Discrete \& Computational Geometry},
volume={63},
pages={346--376},
year={2020},
publisher={Springer}
}
@book{munkres2018elements,
title={Elements of algebraic topology},
author={Munkres, James R},
year={2018},
publisher={CRC press}
}
@article{milicchio2008codimension,
title={A codimension-zero approach to discretizing and solving field problems},
author={Milicchio, Franco and DiCarlo, Antonio and Paoluzzi, Alberto and Shapiro, Vadim},
journal={Advanced Engineering Informatics},
volume={22},
number={2},
pages={172--185},
year={2008},
publisher={Elsevier}
}
@book{audoly2000elasticity,
title={Elasticity and geometry},
author={Audoly, Basile and Pomeau, Yves},
pages={600},
year={2018},
publisher={Oxford University Press}
}
1 change: 1 addition & 0 deletions docs/index.md
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Expand Up @@ -8,6 +8,7 @@ Discrete Calculus Toolkit
:maxdepth: 2
Overview <readme>
Theory <theory>
License <license>
Module Reference <api/modules>
```
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