Open Access
Volume 29, 2023
Article Number 4
Number of page(s) 28
Published online 11 January 2023
  1. A. Garroni, P. van Meurs, M.A. Peletier and L. Scardia, Boundary-layer analysis of a pile-up of walls of edge dislocations at a lock. Math. Models Methods Appl. Sci. 26 (2016) 2735–2768. [Google Scholar]
  2. M.G.D. Geers, R.H.J. Peerlings, M.A. Peletier and L. Scardia, Asymptotic behaviour of a pile-up of infinite walls of edge dislocations. Arch. Ratl. Mech. Anal. 209 (2013) 495–539. [CrossRef] [Google Scholar]
  3. S. Hayakawa and K. Tanaka, Convergence analysis of approximation formulas for analytic functions via duality for potential energy minimization. Preprint arXiv:1906.03133 (2019). [Google Scholar]
  4. M. Kimura and P. van Meurs, Regularity of the minimiser of one-dimensional interaction energies. ESAIM: COCV 26 (2020) 27. [CrossRef] [EDP Sciences] [Google Scholar]
  5. M. Kimura and P. van Meurs, Quantitative estimate of the continuum approximations of interacting particle systems in one dimension. SIAM J. Math. Anal. 53 (2021) 681–709. [Google Scholar]
  6. M.G. Mora, L. Rondi and L. Scardia, The equilibrium measure for a nonlocal dislocation energy. Commun. Pure Appl. Math. 72 (2019) 136–158. [Google Scholar]
  7. L. Pronzato and A. Zhigljavsky, Bayesian quadrature, energy minimization, and space-filling design. SIAM/ASA J. Uncertainty Quantif. 8 (2020) 959–1011. [Google Scholar]
  8. E.B. Saff and V. Totik, Logarithmic Potentials with External Fields. Springer Verlag Berlin Heidelberg (1997). [Google Scholar]
  9. E. Sandier and S. Serfaty, 1D log gases and the renormalized energy: crystallization at vanishing temperature. Probab. Theory Related Fields 162 (2015) 795–846. [Google Scholar]
  10. L. Scardia, R.H.J. Peerlings, M.A. Peletier and M.G.D. Geers, Mechanics of dislocation pile-ups: a unification of scaling regimes. J. Mech. Phys. Solids 70 (2014) 42–61. [Google Scholar]
  11. K. Tanaka and M. Sugihara, Design of accurate formulas for approximating functions in weighted Hardy spaces by discrete energy minimization. IMA J. Numer. Anal. 39 (2019) 1957–1984. [CrossRef] [MathSciNet] [Google Scholar]
  12. P. van Meurs, Boundary-layer analysis of repelling particles pushed to an impenetrable barrier. Preprint arXiv:2105.07163 (2021). [Google Scholar]

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