On the effect of boundary conditions on the scalability of Schwarz methods
Keywords
Advanced Numerical Methods for Scientific Computing
Code:
53/2021
Title:
On the effect of boundary conditions on the scalability of Schwarz methods
Date:
Tuesday 3rd August 2021
Author(s):
Ciaramella, G.; Mechelli, L.
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Abstract:
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.
This report, or a modified version of it, has been also submitted to, or published on
Proceedings in Domain Decomposition Methods in Science and Engineering XXVI
Proceedings in Domain Decomposition Methods in Science and Engineering XXVI