Numerical assessment of two-level domain decomposition preconditioners for incompressible Stokes and elasticity equations

Barrenechea, Gabriel R. and Bosy, Michał and Dolean, Victorita (2018) Numerical assessment of two-level domain decomposition preconditioners for incompressible Stokes and elasticity equations. ETNA - Electronic Transactions on Numerical Analysis, 49. pp. 41-63. ISSN 1068-9613 (https://doi.org/10.1553/etna_vol49s41)

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Abstract

Solving the linear elasticity and Stokes equations by an optimal domain decomposition method derived algebraically involves the use of non standard interface conditions. The one-level domain decomposition preconditioners are based on the solution of local problems. This has the undesired consequence that the results are not scalable, it means that the number of iterations needed to reach convergence increases with the number of subdomains. This is the reason why in this work we introduce, and test numerically, two-level preconditioners. Such preconditioners use a coarse space in their construction. We consider the nearly incompressible elasticity problems and Stokes equations, and discretise them by using two finite element methods, namely, the hybrid discontinuous Galerkin and Taylor-Hood discretisations.

ORCID iDs

Barrenechea, Gabriel R. ORCID logoORCID: https://orcid.org/0000-0003-4490-678X, Bosy, Michał and Dolean, Victorita ORCID logoORCID: https://orcid.org/0000-0002-5885-1903;
  • Item type:Article
    ID code:64642
    Dates:
    Date
    Event
    20 April 2018
    Published
    9 January 2018
    Accepted
    29 June 2017
    Submitted
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:28 Jun 2018 15:36
    Last modified:11 Nov 2024 11:53
    URI:https://strathprints.strath.ac.uk/id/eprint/64642
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