Journal articles

  1. Martin J. Gander, Lukáš Jakabčin, Michal Outrata, The Schur complement on a bounded domain is a spectral Padé approximation about infinity of the Schur complement on the unbounded domain, submitted, HAL preprint: hal-03119569, January 2021.
  2. Houssam Abdoul-Anziz, Lukáš Jakabčin, Pierre Seppecher, Homogenization of an elastic material reinforced by very strong fibers arranged along a periodic lattice. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (PRSA), vol. 477 (2246), 20200620, 2021. HAL preprint: hal-02482837, February 2020.
  3. Lukáš Jakabčin, Pierre Seppecher, On periodic homogenization of highly contrasted elastic structures, Journal of the Mechanics and Physics of Solids (JMPS), vol. 144, 104104, 2020. HAL preprint: hal-02379572, November 2019.
  4. Grégoire Allaire, Lukáš Jakabčin, Taking into account thermal residual stresses in topology optimization of structures built by additive manufacturing, Mathematical Models and Methods in Applied Sciences (M3AS), vol. 28 (12), 2313-2366, 2018. HAL preprint: hal-01666081, December 2017.
  5. Lukáš Jakabčin, Existence of solutions to an elasto-viscoplastic model with kinematic hardening and r-Laplacian fracture approximation, Mathematical Modelling and Numerical Analysis (M2AN), vol.50, no.2, 455-473, 2016.
  6. Lukáš Jakabčin, A visco-elasto-plastic evolution model with regularized fracture, Control, Optimisation and Calculus of Variations (COCV), vol. 22, no. 1., 148-168, 2016.
  7. Eric Bonnetier, Lukáš Jakabčin, Stéphane Labbé, Anne Replumaz, Numerical simulation of a class of models that combine several mechanisms of dissipation: fracture, plasticity, viscous dissipation, Journal of Computational Physics (JCP), 271, 397-414, 2014.

Thèse de Doctorat (my PhD thesis)

Modélisation, analyse et simulation numérique de solides combinant plasticité, rupture et dissipation visqueuse, Université J. Fourier, Grenoble, 2014.