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math.NA2024
Accelerating non-local exchange in generalized optimized Schwarz methods
Roxane Atchekzai, Xavier Claeys
The generalized optimised Schwarz method proposed in [Claeys & Parolin, 2022] is a variant of the Després algorithm for solving harmonic wave problems where transmission conditions…
math.NA2023★ 1 cited
Boundary Element Methods for the Laplace Hypersingular Integral Equation on Multiscreens: a two-level Substructuring Preconditioner
Martin Averseng, Xavier Claeys, Ralf Hiptmair
We present a preconditioning method for the linear systems arising from the boundary element discretization of the Laplace hypersingular equation on a -dimensional triangulated…
math.NA2022
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…