S
Simone Scacchi
Researcher at University of Milan
Publications - 116
Citations - 1849
Simone Scacchi is an academic researcher from University of Milan. The author has contributed to research in topics: Bidomain model & Discretization. The author has an hindex of 21, co-authored 96 publications receiving 1515 citations. Previous affiliations of Simone Scacchi include University of Pavia.
Papers
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A $C^1$ Virtual Element Method for the Cahn--Hilliard Equation with Polygonal Meshes
TL;DR: An evolution of the virtual elements of minimal degree for the approximation of the Cahn--Hilliard equation is developed and the convergence of the semidiscrete scheme is proved and the performance of the fully discrete scheme is investigated through a set of numerical tests.
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Overlapping Schwarz Methods for Isogeometric Analysis
TL;DR: An an overlapping Schwarz preconditioner for elliptic problems discretized with isogeometric analysis is constructed, showing in particular that the resulting algorithm is scalable and its convergence rate depends linearly on the ratio between subdomain and „overlap sizes” for fixed polynomial degree $p$ and regularity of the basis functions.
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Isogeometric BDDC Preconditioners with Deluxe Scaling
TL;DR: A balancing domain decomposition by constraints preconditioner with a novel scaling, introduced by Dohrmann for problems with more than one variable coefficient and here denoted as deluxe scaling, is extended to isogeometric analysis of scalar elliptic problems.
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Multilevel Additive Schwarz Preconditioners for the Bidomain Reaction-Diffusion System
Luca F. Pavarino,Simone Scacchi +1 more
TL;DR: Convergence estimates are proved for the resulting multilevel algorithm, showing that its convergence rate is independent of the number of subdomains (scalability), of the mesh sizes of each level and of thenumber of levels (optimality).