Important note

Francisco-Javier Sayas, the beloved leader of Team Pancho, is unfortunately no longer with us. You may find his obituary via this link. The original website of Team Pancho under is transfered to this server so that his personal work and his team's projects can be available to the public indefinetely.
This website will not be under active development. We refer to the team's GitHub repository for the recent updates in the software.

About us

Team Pancho is led by Francisco-Javier Sayas at the Department of Mathematical Sciences at the University of Delaware. We work on numerical analysis and scientific computing with a focus on:

  • Boundary integral equations, especially retarded potentials and Time Domain BIE
  • Discontinuous Galerkin methods, with a focus on the Hybridizable DG scheme
  • Scattering and wave propagation, with an emphasis on transient acoustic and elastic waves
  • Coupling of different numerical methods, especially BEM with FEM/DG
  • Stokes and Stokes-Darcy flow

Current members (spring 2019)

F.J. Sayas (adviser), Allan Hungria, Shukai Du, Hasan Eruslu, and Hugo Diaz (graduate students)


  • Our new book Variational Techniques for Elliptic Partial Differential Equations: Theoretical Tools and Advanced Applications, the brick is being published by CRC press. It will be available on February 5, 2019.
  • NSF Grant. 2018-2021. NSF-DMS 1818867. Simulation and numerical analysis in elastodynamics.

Not so new, but still interesting

  • Recent NSF Grant. 2012-2016. NSF-DMS 1216356. Numerical simulation and analysis of transient waves in unbounded domains.
  • The deltaBEM code is available in this new site. All the code is ready to be downloaded.
  • The monograph Retarded Potentials and Time Domain Integral Equations, a road map, has been published by Springer Verlag as Volume 50 of their series in Computational Mathematics
  • SIAM Review republished the paper The validity of Johnson-Nedelec's BEM-FEM coupling on polygonal interfaces in their SIGEST section.

Disclaimer. The views and opinions expressed in this page are strictly those of the page author. The contents of this page have not been reviewed or approved by the University of Delaware.