7 citations · 23 across the 17 of their papers we have counts for
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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.NA2023★ 1 cited
Multi-domain FEM-BEM coupling for acoustic scattering
Marcella Bonazzoli, Xavier Claeys
We model time-harmonic acoustic scattering by an object composed of piece-wise homogeneous parts and an arbitrarily heterogeneous part. We propose and analyze new formulations that…
math.AP2023
Non-local optimized Schwarz method with physical boundaries
Xavier Claeys
We extend the theoretical framework of non-local optimized Schwarz methods as introduced in [Claeys,2021], considering an Helmholtz equation posed in a bounded cavity supplemented…