Publications
[1] J. P. Lucero Lorca, D. Rosenberg, I. Jankov, C. McCoid, and M. Gander. On an efficient line smoother for the p‑multigrid 𝛾‑cycle. arXiv, 2025 https://doi.org/10.48550/arXiv.2504.10710 .
[2] M. Gander and J. P. Lucero Lorca. Optimization of two-level methods for DG discretizations of reaction-diffusion equations. ESAIM: M2AN Volume 58, Number 6, November-December 2024, pp. 2351 - 2386. doi:10.1051/m2an/2024059 .
[3] J. P. Lucero Lorca, N. Beams, D. Beecroft, A. Gillman. An iterative solver for the HPS discretization applied to three dimensional Helmholtz problems. SIAM J. Sci. Comput., 46 (2024), pp. A80-A104, doi:10.1137/21M1463380.
[4] J. P. Lucero Lorca and M. Gander. Should multilevel methods for discontinuous Galerkin discretizations use discontinuous interpolation operators? Domain Decomposition Methods in Science and Engineering XXVI. Lecture Notes in Computational Science and Engineering, vol 145 (2022). doi:10.1007/978-3-030-95025-5_28
[5] J. P. Lucero Lorca and G. Kanschat. Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems. Electron. Trans. Numer. Anal. , 54 (2021), pp. 89–107. doi:10.1553/etna_vol54s89
[6] G. Kanschat and J. P. Lucero Lorca. A weakly penalized discontinuous Galerkin method for radiation in dense,
scattering media. CMAM , 16(4):563–577, 2016. doi:10.1515/cmam-2016-0023
Conferences
American Geophysical Union 2024 Conference
J. P. Lucero Lorca, D. Rosenberg, I. Jankov, C. McCoid and M. Gander. On an efficient line smoother for the p‑multigrid 𝛾‑cycle December 2024, Washington DC, USA
15th International Conference on Mathematical and Numerical Aspects of Wave Propagation
J. P. Lucero Lorca and A. Gillman. A comparison between Hierarchical Poincaré‑Steklov approaches for the 3D Helmholtz equation with variable coefficients July 2022, ENSTA Paris
45eme Congrès d’Analyse Numérique
Minisymposium Analyse de Fourier des discrétisations et solveurs pour la résolution des équations différentielles. (with M. Gander). July 2022, Évian‑les‑Bains
20th Copper Mountain Conference On Multigrid Methods
J. P. Lucero Lorca and M. Gander Optimization of Two‑Level Methods for DG Discretizations of Reaction‑Diffusion Equations March 2021, Copper Mountain CO, USA
J. P. Lucero Lorca and M. Gander. Optimization of two-level methods for DG discretizations of reaction-diffusion equations. December 2020, Hong Kong.
J. P. Lucero Lorca and M. Gander. Fourier analysis of a two level nonoverlapping Schwarz preconditioner for the solution of a DG discretization of a reaction-diffusion equation. May 2019, Lugano, Switzerland.
J. P. Lucero Lorca and G. Kanschat. A nonlinear multilevel Schwarz preconditioner for a discontinuous Galerkin discretization of transport equations in local thermodynamic equilibrium. July 2018, St. John's, NL, Canada.
Organized minisymposium with M. Gander on Solvers and preconditioners for non-conforming discretization methods.
Finite Element Fair
J. P. Lucero Lorca and G. Kanschat. Parallel multiplicative Schwarz smoothers in particle transport problems. June 2017, Milan, Italy.
J. P. Lucero Lorca and G. Kanschat. A fast iterative method for non-linear LTE radiative transfer problems. February-March 2017, Atlanta, GA, USA.
Organized minisymposium with J. Ragusa on Advances in numerical methods and algorithms for radiation transport
J. P. Lucero Lorca and G. Kanschat. A fast iterative method for multigroup radiation diffusion problems. February 2017, Longyearbyen, Norway.
J. P. Lucero Lorca and G. Kanschat. Multigrid discontinuous Galerkin method for multigroup particle transport. August 2015, College Station, TX, USA.