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http://dx.doi.org/10.12941/jksiam.2018.22.155

A PARALLEL IMPLEMENTATION OF A RELAXED HSS PRECONDITIONER FOR SADDLE POINT PROBLEMS FROM THE NAVIER-STOKES EQUATIONS  

JANG, HO-JONG (DEPARTMENT OF MATHEMATICS, RESEARCH INSTITUTE FOR NATURAL SCIENCES, HANYANG UNIVERSITY)
YOUN, KIHANG (DEPARTMENT OF MATHEMATICS, RESEARCH INSTITUTE FOR NATURAL SCIENCES, HANYANG UNIVERSITY)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.22, no.3, 2018 , pp. 155-162 More about this Journal
Abstract
We describe a parallel implementation of a relaxed Hermitian and skew-Hermitian splitting preconditioner for the numerical solution of saddle point problems arising from the steady incompressible Navier-Stokes equations. The equations are linearized by the Picard iteration and discretized with the finite element and finite difference schemes on two-dimensional and three-dimensional domains. We report strong scalability results for up to 32 cores.
Keywords
Saddle point problems; Preconditioning; Krylov subspace methods; Multicores.;
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