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Enabling fast convergence of the iterated penalty Picard iteration with O(1) penalty parameter for incompressible Navier-Stokes via Anderson acceleration
[article]
2021
arXiv
pre-print
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This paper considers an enhancement of the classical iterated penalty Picard (IPP) method for the incompressible Navier-Stokes equations, where we restrict our attention to O(1) penalty parameter, and ...
Results for several challenging numerical tests are given and show that IPP with penalty parameter 1 and enhanced with AA is a very effective solver. ...
The Anderson accelerated iterated penalty Picard scheme and its convergence Now we present the Anderson accelerated iterated penalty Picard (AAIPP) algorithm and its convergence properties. ...
arXiv:2105.09339v1
fatcat:jwvuhz3lzvhtregp3ku66a2qea
Trends in Algorithms for Nonuniform Applications on Hierarchical Distributed Architectures
[chapter]
2000
Computational Aerosciences in the 21st Century
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However, disregard for the differential costs of accessing different locations in memory (the "flat memory" model) can put unnecessary amounts of synchronization and data motion on the critical path of ...
Plenty of examples of architecturally motivated algorithmic adaptations can be given today; we illustrate herein with examples from recent aerodynamics simulations. ...
He is grateful to Manny Salas and Kyle Anderson, organizers of the "Computational Aerosciences for the 21st Century" workshop for the unnatural impetus to contemplate a computational world 10-20 years ...
doi:10.1007/978-94-010-0948-5_6
fatcat:7y2rsfl5frdwhemru5agrzj4ge
The mathematics of finite elements and applications
1989
International Journal of Engineering Science
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This paper describes theory and methods for developing a posteriori error estimates and an adaptive strategy for hp-finite element approximations of the incompressible Navier-Stokes equations. ...
These techniques are applied to representative transient and steady state problems of incompressible viscous flow. o.. -•des O A~t S, daOr S'! ...
D SILVESTER and A J WATHEN
Efficient preconditioners for incompressible flow Having an efficient Stokes solver is an important requisite of many Navier-Stokes solution algorithms. ...
doi:10.1016/0020-7225(89)90012-8
fatcat:z6hknn325re4tbssbqqzmcketa
Singular Perturbations and Time Scales in Guidance and Control of Aerospace Systems: A Survey
2001
Journal of Guidance Control and Dynamics
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changes very rapidly from zero at the boundary to the value as given by the solution of the Navier-Stokes equation. ...
The convergence is uniform in 0 <1 <7 for x(t, €), and in any interval 0<?, <1 <7 for z(t, €), and the convergence of z(t, €) will usually be nonuniform at r = 0. ...
doi:10.2514/2.4830
fatcat:qdfw6bvvxrawbmxoelk6ioc5uq
Singular perturbations and time scales in guidance and control of aerospace systems - A survey
2001
Journal of Guidance Control and Dynamics
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The Internet Archive has digitized a microfilm copy of this work. It may be possible to borrow a copy for reading.
changes very rapidly from zero at the boundary to the value as given by the solution of the Navier-Stokes equation. ...
The convergence is uniform in 0 <1 <7 for x(t, €), and in any interval 0<?, <1 <7 for z(t, €), and the convergence of z(t, €) will usually be nonuniform at r = 0. ...
doi:10.2514/3.22603
fatcat:v76ixl3625hg5n7jeu3rzceqwq
Numerical simulation of the flow in model skeletal muscle ventricles
Proceedings of Computers in Cardiology Conference
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Acknowledgements This work has been supported by grants from the British Heart Foundation.
ACKNOWLEDGMENT This work is funded by a grant from the British Heart Foundation. ...
Lin (1985) has proposed the use of three free parameters to accelerate the convergence of Stone's method. ...
The convergence can be accelerated by using multiple grid iteration (Forsey and Billing, 1988) . ...
doi:10.1109/cic.1993.378425
fatcat:evkssjzbtzgijlzytstp2iiorq
Calculation of the A term of magnetic circular dichroism based on time dependent-density functional theory I. Formulation and implementation
2004
Journal of Chemical Physics
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The results confirmed ͑1͒ that the children demonstrated-in both L1 and L2-better skills in quiet than in noise and ͑2͒ that the childrens fast-mapping skills were positively correlated with their pre-existing ...
In this present study we examine the effect of noise on fast-mapping skills in L1 ͑Hmong͒ and L2 ͑English͒. ...
., Dept. of Otolaryngol., Univ. of Michigan, Ann Arbor, MI 48109-0506, bpfingst@umich.edu͒, and Li Xu ͑Ohio Univ., Athens, OH 45701͒
Head-related transfer functions via the fast multipole accelerated ...
doi:10.1063/1.1747828
pmid:15268124
fatcat:hwyfald5a5f4njmw5h7p6vjhnu
Computational and experimental analysis of structure development in two-phase polymer systems
[article]
2004
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Superscript n denotes time t and n + 1 denotes t + t. A Picard iteration is used to deal with the nonlinearity in c term (i = 1 . . . ...
Compared to the Navier-Stokes equations, in equation (6.7) only one extra capillary term ρµ∇c appears reflecting the interfacial tension via µ this modification accounts for hydrodynamic interactions ...
Examples are given in figure B.1. For viscous incompressible Newtonian fluids (Re 1), the Navier-Stokes equation reduces to the Stokes equation: with p the pressure and v the velocity. ...
doi:10.6100/ir571758
fatcat:7qorxtpl6bcb7g2ekncxnx4uou