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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.22 No.3
- 발행연도
- 2018.9
- 수록면
- 155 - 162 (8page)
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초록· 키워드
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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.
목차
ABSTRACT
1. INTRODUCTION
2. THE RELAXED HSS PRECONDITIONER
3. PARALLEL IMPLEMENTATION
4. NUMERICAL EXPERIMENTS
5. CONCLUSIONS
REFERENCES
참고문헌 (11)
참고문헌 신청
[학술지(정기간행물)] - Z. -Z. Bai / 2003 / Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems / SIAM J. Matrix Anal. Appl. 24 : 603 ~ 626
[보고서] - S. Balay / 2018 / PETSc Users Manual, Argonne National Laboratory, ANL-95/11 - Revision 3.9
[학술지(정기간행물)] - M. Benzi / 2004 / A preconditioner for generalized saddle point problems / SIAM J. Matrix Anal. Appl. 26 : 20 ~ 41
[학술지(정기간행물)] - M. Benzi / 2005 / Numerical solution of saddle point problems / Acta Numer 14 : 1 ~ 137
[학술지(정기간행물)] - M. Benzi / 2007 / An efficient solver for the incompressible Navier-Stokes equations in rotation form / SIAM J. Sci. Comput. 29 : 1959 ~ 1981
[보고서] - S. Balay / 2018 / PETSc Users Manual, Argonne National Laboratory, ANL-95/11 - Revision 3.9
[학술지(정기간행물)] - M. Benzi / 2004 / A preconditioner for generalized saddle point problems / SIAM J. Matrix Anal. Appl. 26 : 20 ~ 41
[학술지(정기간행물)] - M. Benzi / 2005 / Numerical solution of saddle point problems / Acta Numer 14 : 1 ~ 137
[학술지(정기간행물)] - M. Benzi / 2007 / An efficient solver for the incompressible Navier-Stokes equations in rotation form / SIAM J. Sci. Comput. 29 : 1959 ~ 1981
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