Publications

Preprints

• Antonin Boisneault, Marcella Bonazzoli, Xavier Claeys, and Pierre Marchand. Discrete FEM-BEM coupling with the Generalized Optimized Schwarz Method. working paper or preprint, January 2026. URL: https://hal.science/hal-05477016.

• Antonin Boisneault, Marcella Bonazzoli, Xavier Claeys, and Pierre Marchand. Spurious resonances for substructured FEM-BEM coupling. working paper or preprint, December 2025. URL: https://hal.science/hal-05352968.

• Victorita Dolean, Pierre Marchand, Axel Modave, and Timothée Raynaud. Preconditioning of GMRES for Helmholtz problems with quasimodes. working paper or preprint, November 2025. URL: https://hal.science/hal-05352986.

• Luiz Faria, Pierre Marchand, and Hadrien Montanelli. Convergence rates of curved boundary element methods for the 3D Laplace and Helmholtz equations. working paper or preprint, July 2025. URL: https://hal.science/hal-05200671.

• Victorita Dolean, Pierre Marchand, Axel Modave, and Timothée Raynaud. Convergence analysis of GMRES applied to Helmholtz problems near resonances. working paper or preprint, May 2025. URL: https://hal.science/hal-05078654.

Journal publications

• Pierre Marchand, Pierre-Henri Tournier, and Pierre Jolivet. Htool-DDM: A C++ library for parallel solvers and compressed linear systems. Journal of Open Source Software, 11(118):9279, February 2026. URL: https://hal.science/hal-05516799, doi:10.21105/joss.09279.

• Jeffrey Galkowski, Pierre Marchand, Jian Wang, and Maciej Zworski. The scattering phase: seen at last. SIAM Journal on Applied Mathematics, 84(1):246–261, February 2024. URL: https://inria.hal.science/hal-03820689, doi:10.1137/23M1547147.

• Jeffrey Galkowski, Pierre Marchand, and Euan A. Spence. High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem. Integral Equations and Operator Theory, October 2022. URL: https://inria.hal.science/hal-03810414, doi:10.1007/s00020-022-02715-2.

• Pierre Marchand, Jeffrey Galkowski, Alastair Spence, and Euan A. Spence. Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency? Advances in Computational Mathematics, June 2022. URL: https://inria.hal.science/hal-03810288, doi:10.1007/s10444-022-09931-9.

• Jeffrey Galkowski, Pierre Marchand, and Euan A. Spence. Eigenvalues of the truncated Helmholtz solution operator under strong trapping. SIAM Journal on Mathematical Analysis, January 2021. URL: https://hal.science/hal-03114612, doi:10.1137/21M1399658.

• Pierre Marchand, Xavier Claeys, Pierre Jolivet, Frédéric Nataf, and Pierre-Henri Tournier. Two-level preconditioning for h-version boundary element approximation of hypersingular operator with GenEO. Numerische Mathematik, 146:597–628, September 2020. URL: https://hal.science/hal-02188771, doi:10.1007/s00211-020-01149-5.

• Xavier Claeys and Pierre Marchand. Boundary integral multi-trace formulations and Optimised Schwarz Methods. Computers & Mathematics with Applications, June 2020. URL: https://inria.hal.science/hal-01921113, doi:10.1016/j.camwa.2020.01.016.

Conference papers

• Antonin Boisneault, Marcella Bonazzoli, Xavier Claeys, and Pierre Marchand. Substructuring based FEM-BEM coupling for Helmholtz problems. In Proceedings of The 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation. Berlin, Germany, June 2024. URL: https://hal.science/hal-04701091, doi:10.17617/3.MBE4AA.

• Ibtihel Ben Gharbia, Marcella Bonazzoli, Xavier Claeys, Pierre Marchand, and Pierre-Henri Tournier. Fast solution of boundary integral equations for elasticity around a crack network: a comparative study. In ESAIM: ProcS, CEMRACS 2016 - Numerical challenges in parallel scientific computing, volume 63 of ESAIM: ProcS, CEMRACS 2016 - Numerical challenges in parallel scientific computing, 135–151. Luminy, Marseille, France, July 2016. URL: https://inria.hal.science/hal-01644518, doi:10.1051/proc/201863135.

These

• Pierre Marchand. Schwarz methods and boundary integral equations. Theses, Sorbonne Université, January 2020. URL: https://hal.science/tel-02922455.

Application-oriented publications

• Caroline Pascal, Pierre Marchand, Alexandre Chapoutot, and Olivier Doaré. Automated far-field sound field estimation combining robotized acoustic measurements and the boundary elements method. Acta Acustica, February 2026. URL: https://hal.science/hal-04601337, doi:10.1051/aacus/2026017.

• Caroline Pascal, Pierre Marchand, Alexandre Chapoutot, and Olivier Doaré. Far-field sound field estimation using robotized measurements and the boundary elements method. In Inter-Noise 2024 : the 53rd International Congress and Exposition on Noise Control Engineering, volume 270, 816–827. Nantes, France, August 2024. Société française d'acoustique (SFA). URL: https://hal.science/hal-04601339, doi:10.3397/IN\_2024\_2661.

• Matthieu Ancellin, Pierre Marchand, and Frédéric Dias. Towards high-performance linear potential flow BEM solver with low-rank compressions. Energies, 17(2):372, January 2024. URL: https://inria.hal.science/hal-04233952, doi:10.3390/en17020372.