Maciej Buze

Publications

Papers

  1. 12 D. P. Bourne, M. Buze, T. Gallouët, and Q. Mérigot. Polynomial diagrams for microstructure modelling. arXiv preprint (2026). under review arXiv
    bibtex@misc{bourne2026polynomial, title = {Polynomial diagrams for microstructure modelling}, author = {D. P. Bourne and M. Buze and T. Gallouët and Q. Mérigot}, year = {2026}, eprint = {2605.20816}, archivePrefix = {arXiv}, }
  2. 11 F. Birks, I. Ghanem, L. Pastewka, J. Kermode, and M. Buze. Resolving structural avalanches in amorphous carbon with arclength continuation. Physical Review Letters 136, 206101 (2026). arXivdoi
    bibtex@article{birks2026avalanches, title = {Resolving structural avalanches in amorphous carbon with arclength continuation}, author = {F. Birks and I. Ghanem and L. Pastewka and J. Kermode and M. Buze}, journal = {Physical Review Letters}, volume = {136}, pages = {206101}, year = {2026}, doi = {10.1103/6n5m-rxc1}, eprint = {2601.22933}, archivePrefix = {arXiv}, }
  3. 10 J. Braun and M. Buze. Incompleteness of Sinclair-type continuum flexible boundary conditions for atomistic fracture simulations. Multiscale Modeling & Simulation 23(2), 711–752 (2025). arXivdoi
    bibtex@article{braun2025incompleteness, title = {Incompleteness of Sinclair-type continuum flexible boundary conditions for atomistic fracture simulations}, author = {J. Braun and M. Buze}, journal = {Multiscale Modeling & Simulation}, volume = {23}, number = {2}, pages = {711--752}, year = {2025}, doi = {10.1137/24M1661078}, eprint = {2403.05462}, archivePrefix = {arXiv}, }
  4. 9 M. Buze. Constrained Hellinger–Kantorovich barycenters: least-cost soft and conic multimarginal formulations. SIAM Journal on Mathematical Analysis 57(1), 495–519 (2025). arXivdoicode
    bibtex@article{buze2025chk, title = {Constrained Hellinger–Kantorovich barycenters: least-cost soft and conic multimarginal formulations}, author = {M. Buze}, journal = {SIAM Journal on Mathematical Analysis}, volume = {57}, number = {1}, pages = {495--519}, year = {2025}, doi = {10.1137/24M1639804}, eprint = {2402.11268}, archivePrefix = {arXiv}, }
  5. 8 M. Buze, J. Feydy, S. M. Roper, K. Sedighiani, and D. P. Bourne. Anisotropic power diagrams for polycrystal modelling: efficient generation of curved grains via optimal transport. Computational Materials Science 245, 113317 (2024). arXivdoicode
    bibtex@article{buze2024apd, title = {Anisotropic power diagrams for polycrystal modelling: efficient generation of curved grains via optimal transport}, author = {M. Buze and J. Feydy and S. M. Roper and K. Sedighiani and D. P. Bourne}, journal = {Computational Materials Science}, volume = {245}, pages = {113317}, year = {2024}, doi = {10.1016/j.commatsci.2024.113317}, eprint = {2403.03571}, archivePrefix = {arXiv}, }
  6. 7 M. Buze and M. H. Duong. Entropic regularisation of unbalanced optimal transportation problems. arXiv preprint (2023). arXiv
    bibtex@misc{buze2023entropic, title = {Entropic regularisation of unbalanced optimal transportation problems}, author = {M. Buze and M. H. Duong}, year = {2023}, eprint = {2305.02410}, archivePrefix = {arXiv}, }
  7. 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 (2022). doipdf
    bibtex@article{buze2022stochastic, title = {A stochastic framework for atomistic fracture}, author = {M. Buze and T. E. Woolley and L. A. Mihai}, journal = {SIAM Journal on Applied Mathematics}, volume = {82}, number = {2}, pages = {526--548}, year = {2022}, doi = {10.1137/21M1416436}, }
  8. 5 M. Buze. Atomistic modelling of near-crack-tip plasticity. Nonlinearity 34(7), 4503–4542 (2021). arXivdoi
    bibtex@article{buze2021plasticity, title = {Atomistic modelling of near-crack-tip plasticity}, author = {M. Buze}, journal = {Nonlinearity}, volume = {34}, number = {7}, pages = {4503--4542}, year = {2021}, doi = {10.1088/1361-6544/abf33c}, eprint = {2007.02408}, archivePrefix = {arXiv}, }
  9. 4 M. Buze and J. R. Kermode. Numerical-continuation-enhanced flexible boundary condition scheme applied to mode-I and mode-III fracture. Physical Review E 103(3), 033002 (2021). arXivdoicode
    bibtex@article{buze2021ncflex, title = {Numerical-continuation-enhanced flexible boundary condition scheme applied to mode-I and mode-III fracture}, author = {M. Buze and J. R. Kermode}, journal = {Physical Review E}, volume = {103}, number = {3}, pages = {033002}, year = {2021}, doi = {10.1103/PhysRevE.103.033002}, eprint = {2008.12822}, archivePrefix = {arXiv}, }
  10. 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). arXivdoi
    bibtex@article{buze2020cellsize, 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}, volume = {54}, number = {6}, pages = {1821--1847}, year = {2020}, doi = {10.1051/m2an/2020005}, eprint = {1905.13328}, archivePrefix = {arXiv}, }
  11. 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). arXivdoi
    bibtex@article{buze2019antiplane, 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}, doi = {10.1142/S0218202519500520}, eprint = {1810.05501}, archivePrefix = {arXiv}, }
  12. 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). arXivdoi
    bibtex@article{braun2019screw, 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}, doi = {10.1137/17M1157520}, eprint = {1710.07708}, archivePrefix = {arXiv}, }

Other

  • 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).
    bibtex@techreport{bagchi2023exascale, title = {New Mathematics for the Exascale: Applications to Materials Science}, author = {S. Bagchi and I. Baghishov and M. Buze and others}, institution = {Institute for Pure and Applied Mathematics, UCLA}, type = {White paper}, year = {2023}, }
  • M. Buze. Atomistic modelling of fracture. PhD thesis, University of Warwick (2019). pdf
    bibtex@phdthesis{buze2019thesis, title = {Atomistic modelling of fracture}, author = {M. Buze}, school = {University of Warwick}, year = {2019}, }