[10]

J. Braun and M. Buze. Incompleteness of Sinclair-type continuum flexible boundary conditions for atomistic fracture simulations. arXiv e-prints, 2403.05462, 2024. [ bib | http | .pdf ]

[9]

M. Buze, J. Feydy, S.R. Roper, K. Sedighiani, and D. Bourne. Anisotropic power diagrams for polycrystal modelling: efficient generation of curved grains via optimal transport. arXiv e-prints, 2403.03571, 2024. [ bib | http | .pdf ]

[8]

M. Buze. Constrained Hellinger-Kantorovich barycenters: least-cost soft and conic multi-marginal formulations. arXiv e-prints, 2402.11268, 2024. [ bib | http | .pdf ]

[7]

M. Buze and M.H. Duong. Entropic regularisation of unbalanced optimal transportation problems. arXiv e-prints, 2305.02410, 2023. [ bib | http | .pdf ]

[6]

M. Buze, T.E. Woolley, and L.A.Mihai. A stochastic framework for atomistic fracture. SIAM Journal on Applied Mathematics, 82(2):526--548, March 2022. [ bib | DOI | http | .pdf ]

[5]

M. Buze and J. R. Kermode. Numerical-continuation-enhanced flexible boundary condition scheme applied to mode-i and mode-iii fracture. Phys. Rev. E, 103:033002, Mar 2021. [ bib | DOI | http | .pdf ]

[4]

M. Buze. Atomistic modelling of near-crack-tip plasticity. Nonlinearity, 34(7):4503--4542, June 2021. [ bib | DOI | http | .pdf ]

[3]

M. Buze, T. Hudson, and C. Ortner. Analysis of cell size effects in atomistic crack propagation. ESAIM: Mathematical Modelling and Numerical Analysis, 54(6):1821--1847, 2020. [ bib | DOI | http | .pdf ]

[2]

M. Buze, T. Hudson, and C. Ortner. Analysis of an atomistic model for anti-plane fracture. Mathematical Models and Methods in Applied Sciences, 29(13):2469--2521, 2019. [ bib | DOI | http | .pdf ]

[1]

J. Braun, M. Buze, and C. Ortner. The effect of crystal symmetries on the locality of screw dislocation cores. SIAM Journal on Mathematical Analysis, 51(2):1108--1136, 2019. [ bib | DOI | http | .pdf ]

Software

[*]

PyAPD: A Python library for computing anisotropic power diagrams using GPU acceleration, 2023. [ bib | http ]

Miscellaneous

[*]

S. Bagchi, I. Baghishov, M.Buze et al. New Mathematics for the Exascale: Applications to Materials Science - White Paper, Institute for Pure and Applied Mathematics, UCLA, 2023. [ bib | http | .pdf ]

[*]

M. Buze. Atomistic modelling of fracture. PhD thesis, University of Warwick, September 2019. [ http ]

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