How does the partition of unity influence SORAS preconditioner?

We investigate numerically the influence of the choice of the partition of unity on the convergence of the Symmetrized Optimized Restricted Additive Schwarz (SORAS) preconditioner for the heterogeneous reaction-convection-diffusion equation.

Keywords

Partition of unity Optimized Schwarz preconditioners Overlapping domain decomposition

Domains

Mathematics [math] Numerical Analysis [math.NA]

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https://hal.science/hal-03882577

Submitted on : Friday, December 2, 2022-3:07:21 PM

Last modification on : Tuesday, January 17, 2023-3:27:39 PM

Dates and versions

hal-03882577 , version 1 (02-12-2022)

Identifiers

HAL Id : hal-03882577 , version 1
ARXIV : 2212.03132

Cite

Marcella Bonazzoli, Xavier Claeys, Frédéric Nataf, Pierre-Henri Tournier. How does the partition of unity influence SORAS preconditioner?. 2022. ⟨hal-03882577⟩

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CNRS INRIA INSMI LJLL UMA_ENSTA INRIA2 TDS-MACS SORBONNE-UNIVERSITE SU-SCIENCES IP_PARIS UP-SCIENCES GS-COMPUTER-SCIENCE

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