10.1051/m2an/2018039
https://zenodo.org/records/3357618
oai:zenodo.org:3357618
Gigante, Giacomo
Giacomo
Gigante
Dipartimento di Ingegneria gestionale, dell'informazione e della produzione, Università degli Studi di Bergamo
Vergara, Christian
Christian
Vergara
MOX, Dipartimento di Matematica, Politecnico di Milano
Optimized Schwarz methods for the coupling of cylindrical geometries along the axial direction
Zenodo
2018
Optimized Schwarz Method
cylindrical domains
geometric multiscale
Bessel functions
2018-10-12
eng
https://zenodo.org/communities/romsoc
https://zenodo.org/communities/eu
Creative Commons Attribution 4.0 International
In this work, we focus on the Optimized Schwarz Method for circular flat interfaces and geometric heterogeneous coupling arising when cylindrical geometries are coupled along the axial direction. In the first case, we provide a convergence analysis for the diffusion-reaction problem and jumping coefficients and we apply the general optimization procedure developed in Gigante and Vergara (Numer. Math. 131 (2015) 369–404). In the numerical simulations, we discuss how to choose the range of frequencies in the optimization and the influence of the Finite Element and projection errors on the convergence. In the second case, we consider the coupling between a three-dimensional and a one-dimensional diffusion-reaction problem and we develop a new optimization procedure. The numerical results highlight the suitability of the theoretical findings.
European Commission
10.13039/501100000780
765374
Reduced Order Modelling, Simulation and Optimization of Coupled systems