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Domain Decomposition Methods based on quasi-optimal transmission operators for the solution of Helmholtz transmission problems
Yassine Boubendir, Carlos Jerez-Hanckes, Carlos Pérez-Arancibia +1
We present non-overlapping Domain Decomposition Methods (DDM) based on quasi-optimal transmission operators for the solution of Helmholtz transmission problems with piece-wise cons…
Closed-Form Exact Inverses of the Weakly Singular and Hypersingular Operators On Disks
Ralf Hiptmair, Carlos Jerez-Hanckes, Carolina Urzua-Torres
We introduce new boundary integral operators which are the exact inverses of the weakly singular and hypersingular operators for the Laplacian on flat disks. Moreover, we provide e…
Multitrace formulations and Domain Decomposition Methods for the solution of Helmholtz transmission problems for bounded composite scatterers
Carlos Jerez-Hanckes, Carlos Pérez-Arancibia, Catalin Turc
We present Nyström discretizations of multitrace formulations and non-overlapping Domain Decomposition Methods (DDM) for the solution of Helmholtz transmission problems for bounded…