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A PARALLEL IMPLEMENTATION OF A RELAXED HSS PRECONDITIONER FOR SADDLE POINT PROBLEMS FROM THE NAVIER-STOKES EQUATIONS
- Authors
- Jang, Ho-Jong; Youn, Kihang
- Issue Date
- Sep-2018
- Publisher
- KOREAN SOC INDUSTRIAL & APPLIED MATHEMATICS
- Keywords
- Saddle point problems; Preconditioning; Krylov subspace methods; Multicores
- Citation
- JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, v.22, no.3, pp.155 - 162
- Indexed
- KCI
- Volume
- 22
- Number
- 3
- Start Page
- 155
- End Page
- 162
- ISSN
- 1226-9433
- 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.
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