7 citations · 23 across the 17 of their papers we have counts for
4 papers · 1 filter
Fractured Meshes
Martin Averseng, Xavier Claeys, Ralf Hiptmair
This work introduces ``generalized meshes", a type of meshes suited for the discretization of partial differential equations in non-regular geometries. Generalized meshes extend re…
How does the partition of unity influence SORAS preconditioner?
Marcella Bonazzoli, Xavier Claeys, Frédéric Nataf +1
We investigate the influence of the choice of the partition of unity on the convergence of the Symmetrized Optimized Restricted Additive Schwarz (SORAS) preconditioner for the reac…
A new perspective on the fictitious space lemma
Xavier Claeys
In the present contribution we propose a new proof of the so-called fictitious space lemma. For the proof, we exhibit an explicit expression for the inverse of additive Schwarz pre…
A Directional Equispaced interpolation-based Fast Multipole Method for oscillatory kernels
Igor Chollet, Xavier Claeys, Pierre Fortin +1
Fast Multipole Methods (FMMs) based on the oscillatory Helmholtz kernel can reduce the cost of solving N-body problems arising from Boundary Integral Equations (BIEs) in acoustic o…