59 citations · 89 across the 14 of their papers we have counts for
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On the Scalability of the Parallel Schwarz Method in One-Dimension
Gabriele Ciaramella, Muhammad Hassan, Benjamin Stamm
In contrast with classical Schwarz theory, recent results in computational chemistry have shown that for special domain geometries, the one-level parallel Schwarz method can be sca…
A theoretical investigation of time-dependent Kohn-Sham equations: new proofs
Gabriele Ciaramella, Martin Sprengel, Alfio Borzi
In this paper, a new analysis for existence, uniqueness, and regularity of solutions to a time-dependent Kohn-Sham equation is presented. The Kohn-Sham equation is a nonlinear inte…
Spectral substructured two-level domain decomposition methods
Gabriele Ciaramella, Tommaso Vanzan
Two-level domain decomposition (DD) methods are very powerful techniques for the efficient numerical solution of partial differential equations (PDEs). A two-level domain decomposi…
On the Scalability of the Schwarz Method
Gabriele Ciaramella, Muhammad Hassan, Benjamin Stamm
In this article, we analyse the convergence behaviour and scalability properties of the one-level Parallel Schwarz method (PSM) for domain decomposition problems in which the bound…