WONAPDE 2016: Fifth Chilean Workshop on Numerical Analysis of Partial Differential Equations, january 11-15.

Refereed Journal Papers:

  1. C1-C0 Conforming virtual element approximations for sixth-order problems ,
    Luis Pérez, Carlos Reales, Alberth Silgado and Iván Velásquez
    Journal of Computational Physics 545 (2026), 114483. https://doi.org/10.1016/j.jcp.2025.114483

  2. Residual-based a posteriori error estimation for mixed virtual element methods ,
    Andrea Cangiani , Mauricio Munar and Iván Velásquez
    Comput. Math. Appl. 166 (2024), 182-197. https://doi.org/10.1016/j.camwa.2024.05.011
    Scimago SJR: Online ISSN: 1873-7668
    Publindex: ISSN 0898-1221

  3. Mixed variational formulations of virtual elements for the polyharmonic operator (−Δ)^n ,
    Franco Dassi, David Mora, Carlos Reales and Iván Velásquez
    Comput. Math. Appl. 158 (2024), 150-166. https://doi.org/10.1016/j.camwa.2024.01.013
    Scimago SJR: Online ISSN: 1873-7668
    Publindex: ISSN 0898-1221

  4. Nonconforming virtual element discretization for the transmission eigenvalue problem ,
    Dibyendu Adak, David Mora and Iván Velásquez
    Comput. Math. Appl. 152 (2023), 250-267. https://doi.org/10.1016/j.camwa.2023.10.032
    Scimago SJR: Online ISSN: 1873-7668
    Publindex: ISSN 0898-1221

  5. A posteriori virtual element method for the acoustic vibration problem ,
    Felipe Lepe, David Mora, Gonzalo Rivera and Iván Velásquez
    Adv. Comput. Math. 49 (2023), no. 2, Paper No. 23.,
    Scimago SJR: ISSN 1572-9044
    Publindex: ISSN 1572-9044

  6. A C^0 nonconforming virtual element methods for the vibration and buckling problems of thin plates, ,
    Dibyendu Adak, David Mora and Iván Velásquez
    Comput. Methods Appl. Mech. Engrg. 403 (2023), part B, Paper No. 115763, 24 pp.,
    Scimago SJR: ISSN 0045-7825
    Publindex: ISSN 0045-7825

  7. A C1–C0 virtual element discretization for a sixth‑order elliptic equation,
    José Causil, Carlos Reales, and Iván Velásquez
    Calcolo 59, 39 (2022). https://doi.org/10.1007/s10092-022-00482-5
    Scimago SJR: ISSN 1126-5434
    Publindex: ISSN 1126-5434

  8. Virtual element method on polyhedral meshes for Bi-harmonic Eigenvalues Problems ,
    Franco Dassi and Iván Velásquez
    Comput. Math. Appl. 121 (2022), 85-101. https://doi.org/10.1016/j.camwa.2022.07.001
    Scimago SJR: ISSN 0898-1221
    Publindex: ISSN 0898-1221

  9. A C1-C0 conforming virtual element discretization for the transmission eigenvalue problem ,
    David Mora and Iván Velásquez
    Res Math Sci 8, 56 (2021). https://doi.org/10.1007/s40687-021-00291-2
    Scimago SJR: ISSN 2197-9847
    Publindex: ISSN 2197-9847
    CI²MA-UDEC: Preprint 2021-21,

  10. A virtual element method for the Steklov eigenvalue problem
    allowing small edges
    Felipe Lepe, David Mora, Gonzalo Rivera and Iván Velásquez
    J. Sci. Comput. 88 (2021), no. 2, Paper No. 44. https://doi.org/10.1007/s10915-021-01555-3
    Scimago SJR: ISSN 1573-7691
    Publindex: ISSN 1573-7691
    CI²MA-UDEC: Preprint 2020-18,

  11. Virtual elements for the transmission eigenvalue problem
    on polytopal meshes     ,
    David Mora and Iván Velásquez
    SIAM J. Sci. Comput. 43 (2021), no. 4, A2425–A2447. https://doi.org/10.1137/20M1347887
    CI²MA-UDEC: Preprint 2020-15,

  12. A virtual element method for the von Kármán equations ,
    C. Lovadina David Mora and Iván Velásquez
    ESAIM Math. Model. Numer. Anal. 55 (2021), no. 2, 533–560. https://doi.org/10.1051/m2an/2020085
    CI²MA-UDEC: Preprint 2019-36,

  13. Virtual element for the buckling problem of Kirchhoff-Love plates ,
    David Mora and Iván Velásquez
    Comput. Methods Appl. Mech. Engrg. 360 (2020), 112687, 22 pp. https://doi.org/10.1016/j.cma.2019.112687
    CI²MA-UDEC: Preprint 2019-16,

  14. A virtual element method for the transmission eigenvalue problem, ,
    David Mora, Iván Velásquez
    Math. Models Methods Appl. Sci. 28 (2018), no. 14, 2803–2831. https://doi.org/10.1142/S0218202518500616
    CI²MA-UDEC: Preprint 2018-11,

  15. A virtual element method for the vibration problem of Kirchhoff plates,
    David Mora, Gonzalo Rivera and Iván Velásquez
    ESAIM Math. Model. Numer. Anal. 52 (2018), no. 4, 1437–1456. https://doi.org/10.1051/m2an/2017041
    CI²MA-UDEC: Preprint 2017-02,