@preamble{{ \newcommand{\noop}[1]{} }}
@article{BB24,
title = {Incompleteness of Sinclair-type continuum flexible boundary conditions for atomistic fracture simulations},
author = {Braun, J. and Buze, M.},
year = {2024},
journal = {arXiv e-prints},
volume = {2403.05462},
year = {2024},
url = {https://arxiv.org/abs/2403.05462},
pdf = {https://arxiv.org/abs/2403.05462.pdf}
}
@article{BFRSB24,
title = {Anisotropic power diagrams for polycrystal modelling: efficient generation of curved grains via optimal transport},
author = {Buze, M. and Feydy, J. and Roper, S.R. and Sedighiani, K. and Bourne, D.},
journal = {arXiv e-prints},
volume = {2403.03571},
year = {2024},
url = {https://arxiv.org/abs/2403.03571},
pdf = {https://arxiv.org/pdf/2403.03571.pdf}
}
@article{B24,
title = {Constrained Hellinger--Kantorovich barycenters: least-cost soft and conic multi-marginal formulations},
author = {Buze, M.},
journal = {arXiv e-prints},
volume = {2402.11268},
year = {2024},
url = {https://arxiv.org/abs/2402.11268},
pdf = {https://arxiv.org/pdf/2402.11268.pdf}
}
@techreport{ipam_materials,
title = {{New Mathematics for the Exascale: Applications to Materials Science}},
type = {White Paper},
author = {S. Bagchi et al},
year = {2023},
institution = {Institute for Pure and Applied Mathematics, UCLA},
url = {https://www.ipam.ucla.edu/news/white-paper-new-mathematics-for-the-exascale-applications-to-materials-science/},
pdf = {https://www.ipam.ucla.edu/wp-content/uploads/2023/07/Microsoft-Word-White-Paper-for-IPAM-program-NME2023-final_CR_071123.docx.pdf}
}
@article{BD23,
title = {Entropic regularisation of unbalanced optimal transportation problems},
author = {Buze, M. and Duong, M.H.},
journal = {arXiv e-prints},
volume = {2305.02410},
year = {2023},
url = {https://arxiv.org/abs/2305.02410},
pdf = {https://arxiv.org/pdf/2305.02410.pdf}
}
@article{BWM2022,
doi = {10.1137/21m1416436},
url = {https://doi.org/10.1137/21m1416436},
pdf = {https://orca.cardiff.ac.uk/144924/7/M141643.pdf},
year = {2022},
month = mar,
publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
volume = {82},
number = {2},
pages = {526--548},
author = {Buze, M. and T.E. Woolley and L.A.Mihai},
title = {A Stochastic Framework for Atomistic Fracture},
journal = {{SIAM} Journal on Applied Mathematics}
}
@article{BK2021,
title = {Numerical-continuation-enhanced flexible boundary condition scheme applied to mode-I and mode-III fracture},
author = {Buze, M. and Kermode, J. R.},
journal = {Phys. Rev. E},
volume = {103},
issue = {3},
pages = {033002},
numpages = {16},
year = {2021},
month = {Mar},
publisher = {American Physical Society},
doi = {10.1103/PhysRevE.103.033002},
url = {https://arxiv.org/abs/2008.12822},
pdf = {https://arxiv.org/pdf/2008.12822.pdf}
}
@article{2020-near-crack-tip-plas,
title = {Atomistic modelling of near-crack-tip plasticity},
author = {M. Buze},
doi = {10.1088/1361-6544/abf33c},
journal = {Nonlinearity},
year = {2021},
month = jun,
publisher = {{IOP} Publishing},
volume = {34},
number = {7},
pages = {4503--4542},
url = {https://arxiv.org/abs/2007.02408},
pdf = {https://arxiv.org/pdf/2007.02408.pdf}
}
@article{2019-antiplanecrack,
title = {Analysis of cell size effects in atomistic crack propagation},
author = {M. Buze and T. Hudson and C. Ortner},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
publisher = {EDP Sciences},
year = {2020},
volume = {54},
number = {6},
pages = {1821-1847},
url = {https://arxiv.org/abs/1905.13328},
pdf = {https://arxiv.org/pdf/1905.13328.pdf},
doi = {10.1051/m2an/2020005}
}
@article{2018-antiplanecrack,
title = {Analysis of an atomistic model for anti-plane fracture},
author = {M. Buze and T. Hudson and C. Ortner},
journal = {Mathematical Models and Methods in Applied Sciences},
volume = {29},
number = {13},
pages = {2469-2521},
year = {2019},
url = {https://arxiv.org/abs/1810.05501},
pdf = {https://arxiv.org/pdf/1810.05501.pdf},
doi = {10.1142/S0218202519500520}
}
@article{2017-bcscrew,
title = {The Effect of Crystal Symmetries on the Locality of Screw Dislocation Cores},
author = {J. Braun and M. Buze and C. Ortner},
journal = {SIAM Journal on Mathematical Analysis},
volume = {51},
number = {2},
pages = {1108-1136},
year = {2019},
url = {https://arxiv.org/abs/1710.07708},
pdf = {https://arxiv.org/pdf/1710.07708.pdf},
doi = {10.1137/17M1157520}
}
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