Yulong (Lewis) Pan

yllpan at berkeley at edu

PhD Candidate in Applied Mathematics, UC Berkeley

About

I am a graduate student in Applied Mathematics at UC Berkeley working with Prof. Per-Olof Persson and Prof. Michael Lindsey. My research is broadly focused on developing fast numerical algorithms for solving partial differential equations.

I am applying to postdoc positions starting Fall 2026. Here is my CV.

Publications

  1. Fast adaptive discontinuous basis sets for electronic structure.
    Y. Pan and M. Lindsey, arXiv preprint (2025). [arXiv]

  2. Geometric adaptive smoothed aggregation multigrid for discontinuous Galerkin discretisations.
    Y. Pan, M. Lindsey and P.-O. Persson, arXiv preprint (2025). [arXiv]

  3. Optimization of a triangular Delaunay mesh generator using reinforcement learning.
    W. Thacher, Y. Pan and P.-O. Persson, Computer-Aided Design, 103964 (2025). [journal] [arXiv]

  4. Half-closed discontinuous Galerkin discretisations.
    Y. Pan and P.-O. Persson, J. Comp. Phys., Vol. 524, 113731, (2025). [journal] [arXiv]

  5. Learning topological operations on meshes with application to block decomposition of polygons.
    A. Narayanan, Y. Pan and P.-O. Persson, Computer-Aided Design, 103744, (2024). [journal] [arXiv]

  6. A face-upwinded spectral element method.
    Y. Pan and P.-O. Persson, J. Comp. Phys., Vol. 503, 112825, (2024). [journal] [arXiv]

  7. High-order accurate finite difference discretisations on fully unstructured dual quadrilateral meshes.
    Y. Pan and P.-O. Persson, J. Comp. Phys., Vol. 461, 111201, (2022). [journal] [arXiv]

  8. Agglomeration-based geometric multigrid solvers for compact discontinuous Galerkin discretisations on unstructured meshes.
    Y. Pan and P.-O. Persson, J. Comp. Phys., Vol. 449, 110775, (2022) [journal] [arXiv]

Selected presentations

  1. Geometric adaptive smoothed aggregation multigrid for discontinuous Galerkin discretisations, July 2025, PDF.

  2. Half-closed discontinuous Galerkin discretisations, August 2024, PDF.

Code

  1. adaptiveMG: Adaptive multigrid for Discontinuous Galerkin discretisations. Can handle scalar equations (e.g. Poisson, advection) using different fluxes including Interior Penalty, Local Discontinuous Galerkin and more. Code available on Github.

  2. dgSCF: Discontinuous Galerkin basis sets for SCF calculations. Basic functionality includes Hartree-Fock and density functional theory implementations. Code available on Github.

Teaching