Research

✍️ Preprints

• A penalized φ-FEM scheme for the Poisson Dirichlet problem
  Michel Duprez, Killian Vuillemot, Raphaël Bulle, Vanessa Lleras | HAL

• Residual-based a posteriori error estimates with boundary correction for Phi-FEM
  Roland Becker, Raphaël Bulle, Michel Duprez, Vanessa Lleras | HAL

• An adaptive multimesh rational approximation scheme for the spectral fractional Laplacian
  Alex Bespalov, Raphaël Bulle | DOI: 10.48550/arXiv.2504.03408 | HAL

🗞️ Publications

2023

• An a posteriori error estimator for the spectral fractional power of the Laplacian
  Raphaël Bulle, Olga Barrera, Stéphane P.A. Bordas, Franz Chouly, Jack S Hale | DOI: 10.1016/j.cma.2023.115943 | HAL

• Hierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS Project
  Raphaël Bulle, Jack S Hale, Alexei Lozinski, Stéphane P.A. Bordas, Franz Chouly | DOI: 10.1016/j.camwa.2022.11.009 | HAL

2020

• Removing the saturation assumption in Bank-Weiser error estimator analysis in dimension three
  Raphaël Bulle, Franz Chouly, Jack S Hale, Alexei Lozinski | DOI: 10.1016/j.aml.2020.106429 | HAL

💻 Softwares

2025

• phiFEM: a convenience package for using phiFEM with FEniCSx
  Raphael Bulle, Michel Duprez, Killian Vuillemot | DOI: 10.6084/m9.figshare.30373546.v1 | HAL

2021

• FEniCS Error Estimation (FEniCS-EE)
  Raphaël Bulle, Jack Hale | DOI: 10.6084/m9.figshare.10732421 | HAL

🎓 Thesis

2022

• A posteriori error estimation for finite element approximations of fractional Laplacian problems and applications to poro-elasticity
  Raphaël Bulle | HAL

📰 Reports

2019

• Image search, Match the fastener
  Raphaël Bulle, François Der Hovsepian, Francisco Nicolás, Jean-Christophe Sick | HAL