A parallel implementation of the modi ed augmented Lagrangian preconditioner for the incompressible Navier Stokes equations

Benzi, Michele; Wang, Zhen

doi:10.1007/s11075-012-9655-x

Title: A parallel implementation of the modi ed augmented Lagrangian preconditioner for the incompressible Navier Stokes equations

Journal Article · Tue Jan 01 00:00:00 EST 2013 · Numerical Algorithms

DOI:https://doi.org/10.1007/s11075-012-9655-x· OSTI ID:1150861

Benzi, Michele ^[1]; Wang, Zhen ^[2]

Emory University
ORNL

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: DE-AC05-00OR22725

OSTI ID:: 1150861

Journal Information:: Numerical Algorithms, Vol. 64, Issue 64; ISSN 1017-1398

Country of Publication:: United States

Language:: English

References (12)

Numerical solution of saddle point problems Benzi, Michele; Golub, Gene H.; Liesen, Jörg Acta Numerica, Vol. 14 https://doi.org/10.1017/S0962492904000212	journal	April 2005
An Augmented Lagrangian‐Based Approach to the Oseen Problem Benzi, Michele; Olshanskii, Maxim A. SIAM Journal on Scientific Computing, Vol. 28, Issue 6 https://doi.org/10.1137/050646421	journal	January 2006
Field-of-Values Convergence Analysis of Augmented Lagrangian Preconditioners for the Linearized Navier–Stokes Problem Benzi, Michele; Olshanskii, Maxim A. SIAM Journal on Numerical Analysis, Vol. 49, Issue 2 https://doi.org/10.1137/100806485	journal	January 2011
Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations Benzi, Michele; Olshanskii, Maxim A.; Wang, Zhen International Journal for Numerical Methods in Fluids, Vol. 66, Issue 4 https://doi.org/10.1002/fld.2267	journal	May 2011
Analysis of Augmented Lagrangian-Based Preconditioners for the Steady Incompressible Navier–Stokes Equations Benzi, Michele; Wang, Zhen SIAM Journal on Scientific Computing, Vol. 33, Issue 5 https://doi.org/10.1137/100797989	journal	January 2011
ℋ︁-LU factorization in preconditioners for augmented Lagrangian and grad-div stabilized saddle point systems Börm, Steffen; Le Borne, Sabine International Journal for Numerical Methods in Fluids, Vol. 68, Issue 1 https://doi.org/10.1002/fld.2495	journal	December 2010
Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow Elman, Howard C.; Ramage, Alison; Silvester, David J. ACM Transactions on Mathematical Software, Vol. 33, Issue 2 https://doi.org/10.1145/1236463.1236469	journal	June 2007
Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface Harlow, Francis H.; Welch, J. Eddie Physics of Fluids, Vol. 8, Issue 12 https://doi.org/10.1063/1.1761178	journal	January 1965
An overview of the Trilinos project Heroux, Michael A.; Phipps, Eric T.; Salinger, Andrew G. ACM Transactions on Mathematical Software, Vol. 31, Issue 3 https://doi.org/10.1145/1089014.1089021	journal	September 2005
Grad-div stablilization for Stokes equations Olshanskii, Maxim A.; Reusken, Arnold Mathematics of Computation, Vol. 73, Issue 248 https://doi.org/10.1090/S0025-5718-03-01629-6	journal	December 2003
A Flexible Inner-Outer Preconditioned GMRES Algorithm Saad, Youcef SIAM Journal on Scientific Computing, Vol. 14, Issue 2 https://doi.org/10.1137/0914028	journal	March 1993
Iterative Methods for Sparse Linear Systems Saad, Yousef https://doi.org/10.1137/1.9780898718003	book	January 2003

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