Scientific contributions

A multimesh adaptive rational approximation scheme for the spectral fractional Laplacian
Alex Bespalov, R. B.
https://arxiv.org/abs/2504.03408 (preprint).

Residual-based a posteriori error estimates with boundary correction for φ-FEM
Roland Becker, R. B., Michel Duprez, Vanessa Lleras,
https://hal.science/hal-04931977 (preprint).

An a posteriori error estimator for the spectral fractional power of the Laplacian
R. B., Olga Barrera, Stéphane P. A. Bordas, Franz Chouly, Jack S. Hale,
Computer Methods in Applied Mechanics and Engineering, Volume 407, 2023, 115943, ISSN 0045-7825
https://doi.org/10.1016/j.cma.2023.115943.

Hierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS Project
R. B., Jack S. Hale, Alexei Lozinski, Stéphane P. A. Bordas, Franz Chouly,
Computers & Mathematics with Applications, Volume 131, 2023, Pages 103-123, ISSN 0898-1221
https://doi.org/10.1016/j.camwa.2022.11.009.

The Human Meniscus Behaves as a Functionally Graded Fractional Porous Medium under Confined Compression Conditions
R. B., Gioacchino Alotta, Gregorio Marchiori, Matteo Berni, Nicola F. Lopomo, Stefano Zaffagnini, Stéphane P. A. Bordas, Olga Barrera,
Applied Sciences, 11, 2021, no. 20:9405
https://doi.org/10.3390/app11209405.

Removing the saturation assumption in Bank-Weiser error estimator analysis in dimension three
R. B., Franz Chouly, Jack S. Hale, Alexei Lozinski,
Applied Mathematics Letters, Volume 107, 2020, 106429, ISSN 0893-9659,
https://doi.org/10.1016/j.aml.2020.106429.