On the effect of boundary conditions on the scalability of Schwarz methods

Ciaramella, Gabriele; Mechelli, Luca

On the effect of boundary conditions on the scalability of Schwarz methods

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Datum

2021

Publikationstyp

Preprint

Publikationsstatus

Published

Zusammenfassung

In contrast with classical Schwarz theory, recent results have shown that for special domain geometries, one-level Schwarz methods can be scalable. This property has been proved for the Laplace equation and external Dirichlet boundary conditions. Much less is known if mixed boundary conditions are considered. This short manuscript focuses on the convergence and scalability analysis of one-level parallel Schwarz method and optimized Schwarz method for several different external configurations of boundary conditions, i.e., mixed Dirichlet, Neumann and Robin conditions.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

CIARAMELLA, Gabriele, Luca MECHELLI, 2021. On the effect of boundary conditions on the scalability of Schwarz methods

BibTex

@unpublished{Ciaramella2021-03-27T09:12:19Zeffec-55637,
  year={2021},
  title={On the effect of boundary conditions on the scalability of Schwarz methods},
  author={Ciaramella, Gabriele and Mechelli, Luca}
}

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