Publications

Publications

1. AlgMortar: a fully algebraic multiscale mortar preconditioner, submitted (2026)
   • Authors: Luan F. Santos, Fabricio S. Sousa, Roberto F. Ausas, Rafael T. Guiraldello, Felipe Pereira
   • Preprint: 10.48550/arXiv.2607.22905
2. A new high-order finite-volume advection scheme on spherical Voronoi grids and a comparative study in a mimetic finite-volume moist shallow-water model, in review (2026)
   • Authors: Luan F. Santos, Jeferson B. Granjeiro and Pedro S. Peixoto
   • Preprint: 10.48550/arXiv.2604.07103
3. Analysis of finite-volume transport schemes on cubed-sphere grids and an accurate scheme for divergent winds, Journal of Computational Physics (2024)
   • Authors: Luan F. Santos, Joseph Mouallem and Pedro S. Peixoto
   • DOI: 10.1016/j.jcp.2024.113618
   • Preprint DOI: 10.2139/ssrn.4866660
4. Topography-based local spherical Voronoi grid refinement on classical and moist shallow-water finite-volume models, Geoscientific Model Development (2021)
   • Authors: Luan F. Santos and Pedro S. Peixoto
   • DOI: 10.5194/gmd-14-6919-2021

Thesis and Dissertations

1. Analysis of Finite-Volume Advection Schemes on Cubed-Sphere Grids and an Accurate Alternative for Divergent Winds, Ph.D. Thesis (2024). PDF.
   • Institution: University of São Paulo
   • DOI: 10.11606/T.45.2024.tde-29052024-125153
2. Analysis of Mimetic Finite Volume Schemes on Classical and Moist Shallow Water Models Considering Topography-Based Local Refinement in Spherical Voronoi Grids, Master's Dissertation (2020)
   • Institution: University of São Paulo
   • DOI: 10.11606/D.45.2020.tde-07052020-154350