New preconditioners for the Laplace and Helmholtz integral equations on open curves: analytical framework and numerical results

F Alouges, M Averseng - Numerische Mathematik, 2021 - Springer
Helmholtz wave scattering by open screens in 2D can be formulated as first-kind integral
equations which lead to ill-conditioned linear systems after discretization. We introduce two …

New preconditioners for Laplace and Helmholtz integral equations on open curves

F Alouges, M Averseng - 2019 - hal.science
The numerical resolution of wave scattering problems by open curves leads to ill-
conditioned linear systems which are difficult to precondition due to the geometrical …

[PDF][PDF] Boundary Element Method on Complex Screens

L Giacomel - 2018 - sam.math.ethz.ch
The scattering of acoustic and electromagnetic waves is a topic of research which has been
intensively studied by physicists, mathematicians and engineers over the last 150 years. The …