Publications

Papers in peer-reviewed journals

2022

• Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency?
  Pierre Marchand, Jeffrey Galkowski, Alastair Spence and Euan A. Spence
  Advances in Computational Mathematics, vol. 48 (4), Springer Verlag, jun, 2022   
• High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem
  Jeffrey Galkowski, Pierre Marchand and Euan A. Spence
  Integral Equations and Operator Theory, vol. 94 (4), Springer Verlag, oct, 2022   

2021

• Eigenvalues of the truncated Helmholtz solution operator under strong trapping
  Jeffrey Galkowski, Pierre Marchand and Euan A. Spence
  SIAM Journal on Mathematical Analysis, vol. 53 (6), Society for Industrial and Applied Mathematics, jan, 2021   

2020

• Boundary integral multi-trace formulations and Optimised Schwarz Methods
  Xavier Claeys and Pierre Marchand
  Computers & Mathematics with Applications, vol. 79 (11), Elsevier, jun, 2020   
• Two-level preconditioning for h-version boundary element approximation of hypersingular operator with GenEO
  Pierre Marchand, Xavier Claeys, Pierre Jolivet, Frédéric Nataf and Pierre-Henri Tournier
  Numerische Mathematik, vol. 146, pp. 597–628, Springer Verlag, sep, 2020   

International conference with proceedings

2018

• Fast solution of boundary integral equations for elasticity around a crack network: a comparative study
  Ibtihel Ben Gharbia, Marcella Bonazzoli, Xavier Claeys, Pierre Marchand and Pierre-Henri Tournier
  vol. 63, pp. 135--151, CEMRACS 2016 (Luminy, Marseille), jun, 2018   

Doctoral these

2020

• Schwarz methods and boundary integral equations
  Pierre Marchand
  École doctorale Sciences mathématiques de Paris centre (Paris ; 2000-....), jan, 2020   

Other publication

2022

• The scattering phase: seen at last
  Jeffrey Galkowski, Pierre Marchand, Jian Wang and Maciej Zworski
  oct, 2022