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paper.bib
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@misc{petsc-web-page,
author = {Satish Balay and Shrirang Abhyankar and Mark~F. Adams and Steven Benson and Jed Brown
and Peter Brune and Kris Buschelman and Emil~M. Constantinescu and Lisandro Dalcin and Alp Dener
and Victor Eijkhout and William~D. Gropp and V\'{a}clav Hapla and Tobin Isaac and Pierre Jolivet
and Dmitry Karpeev and Dinesh Kaushik and Matthew~G. Knepley and Fande Kong and Scott Kruger
and Dave~A. May and Lois Curfman McInnes and Richard Tran Mills and Lawrence Mitchell and Todd Munson
and Jose~E. Roman and Karl Rupp and Patrick Sanan and Jason Sarich and Barry~F. Smith
and Stefano Zampini and Hong Zhang and Hong Zhang and Junchao Zhang},
title = {{PETS}c {W}eb page},
url = {https://petsc.org/},
howpublished = {\url{https://petsc.org/}},
year = {2021},
}
@article{bai2021chemo,
title={A chemo-mechanical damage model at large deformation: numerical and experimental studies on polycrystalline energy materials},
author={Bai, Yang and Santos, David A and Rezaei, Shahed and Stein, Peter and Banerjee, Sarbajit and Xu, Bai-Xiang},
journal={International Journal of Solids and Structures},
volume={228},
pages={111099},
year={2021},
publisher={Elsevier},
doi={10.1016/j.ijsolstr.2021.111099}
}
@article{bai2020chemo,
title={A chemo-mechanical grain boundary model and its application to understand the damage of Li-ion battery materials},
author={Bai, Yang and Zhao, Kejie and Liu, Yao and Stein, Peter and Xu, Bai-Xiang},
journal={Scripta Materialia},
volume={183},
pages={45--49},
year={2020},
publisher={Elsevier},
doi={10.1016/j.scriptamat.2020.03.027}
}
@article{bai2019two,
title={Two-level modeling of lithium-ion batteries},
author={Bai, Yang and Zhao, Ying and Liu, Wei and Xu, Bai-Xiang},
journal={Journal of Power Sources},
volume={422},
pages={92--103},
year={2019},
publisher={Elsevier},
doi={10.1016/j.jpowsour.2019.03.026}
}
@article{miehe2010phase,
title={A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits},
author={Miehe, Christian and Hofacker, Martina and Welschinger, Fabian},
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volume={199},
number={45-48},
pages={2765--2778},
year={2010},
publisher={Elsevier},
doi={10.1016/j.cma.2010.04.011}
}
@article{kobayashi1993modeling,
title={Modeling and numerical simulations of dendritic crystal growth},
author={Kobayashi, Ryo},
journal={Physica D: Nonlinear Phenomena},
volume={63},
number={3-4},
pages={410--423},
year={1993},
publisher={Elsevier},
doi={10.1016/0167-2789(93)90120-P}
}
@article{alnaes2015fenics,
title={The FEniCS project version 1.5},
author={Aln{\ae}s, Martin and Blechta, Jan and Hake, Johan and Johansson, August and Kehlet, Benjamin and Logg, Anders and Richardson, Chris and Ring, Johannes and Rognes, Marie E and Wells, Garth N},
journal={Archive of Numerical Software},
volume={3},
number={100},
year={2015},
doi={10.11588/ans.2015.100.20553}
}
@article{anderson2021mfem,
title={MFEM: A modular finite element methods library},
author={Anderson, Robert and Andrej, Julian and Barker, Andrew and Bramwell, Jamie and Camier, Jean-Sylvain and Cerveny, Jakub and Dobrev, Veselin and Dudouit, Yohann and Fisher, Aaron and Kolev, Tzanio and others},
journal={Computers \& Mathematics with Applications},
volume={81},
pages={42--74},
year={2021},
publisher={Elsevier},
doi={10.1016/j.camwa.2020.06.009}
}
@article{arndt2021deal,
title={The deal. II library, version 9.3},
author={Arndt, Daniel and Bangerth, Wolfgang and Blais, Bruno and Fehling, Marc and Gassm{\"o}ller, Rene and Heister, Timo and Heltai, Luca and K{\"o}cher, Uwe and Kronbichler, Martin and Maier, Matthias and others},
journal={Journal of Numerical Mathematics},
volume={29},
number={3},
pages={171--186},
year={2021},
publisher={De Gruyter},
doi={10.1515/jnma-2021-0081}
}
@book{ciarlet2002finite,
title={The finite element method for elliptic problems},
author={Ciarlet, Philippe G},
year={2002},
publisher={SIAM}
}
@book{reddy2019introduction,
title={Introduction to the finite element method},
author={Reddy, Junuthula Narasimha},
year={2019},
publisher={McGraw-Hill Education}
}
@article{cahn1958free,
title={Free energy of a nonuniform system. I. Interfacial free energy},
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}