P. D. Orkwis and D. S. McRae, A Newton's method solver for the Navier-Stokes equations. AIAA Paper 90-1524, June 1990. Home/Search Document Not in Database Summary Related Articles Check |
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Convergence Analysis Of Pseudo-Transient Continuation - Kelley, Keyes (1998) (5 citations) (Correct)
....are usually not available. Standard globalization strategies [12, 17, 25] such as line search or trust region methods often stagnate at local minima of #F# [20] This is particularly the case when the solution has complex features such as shocks that are not present in the initial iterate (see [24], for example) #tc succeeds in many of these cases by taking advantage of the PDE structure of the problem. 1.1. The basic algorithm. In the simple form considered in this paper, #tc numerically integrates the initial value problem x # = V 1 F (x) x(0) x 0 (1.1) to steady state using a ....
....form of #tc than that given by (1.2) This may improve stability for some problems [16] 510 C. T. KELLEY AND D. E. KEYES 1.2. Timestep control. We assume that # n is computed by some formula like the switched evolution relaxation (SER) method, so named in [21] and used in, e.g. 19] [24], and [33] In its simplest, unprotected form, SER increases the timestep in inverse proportion to the residual reduction. # n = # 0 #F (x 0 )# #F (x n )#. 1.5) Relation (1.5) implies that, for n # 1, # n = # n 1 #F (x n 1 )# #F (x n )# . In some work [16] # n is kept below a large, ....
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P. D. ORKWIS AND D. S. MCRAE, A Newton's Method Solver for the Navier-Stokes Equations, AIAA Paper 90-1524, June 1990. PSEUDO-TRANSIENT CONTINUATION 523
Convergence Analysis Of Pseudo-Transient Continuation - Kelley, Keyes (1997) (5 citations) (Correct)
....are usually not available. Standard globalization strategies [12, 17, 25] such as line search or trust region methods often stagnate at local minima of kFk [20] This is particularly the case when the solution has complex features such as shocks that are not present in the initial iterate (see [24], for example) Psitc succeeds in many of these cases by taking advantage of the PDE structure of the problem. 1.1. The Basic Algorithm. In the simple form considered in this paper, Psitc numerically integrates the initial value problem x 0 = GammaV Gamma1 F (x) x(0) x 0 (1.1) to ....
....form of Psitc than that given by (1.2) This may improve stability for some problems [16] PSEUDO TRANSIENT CONTINUATION 3 1.2. Time Step Control. We assume that ffi n is computed by some formula like the switched evolution relaxation (SER) method, so named in [21] and used in, e.g. 19] [24], and [33] In its simplest, unprotected form, SER increases the timestep in inverse proportion to the residual reduction. ffi n = ffi 0 kF (x 0 )k=kF (x n )k: 1.5) Relation (1.5) implies that, for n 1, ffi n = ffi n Gamma1 kF (x n Gamma1 )k kF (x n )k : In some work [16] ffi n is kept ....
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P. D. ORKWIS AND D. S. MCRAE, A Newton's method solver for the Navier-Stokes equations. AIAA Paper 90-1524, June 1990.
Convergence Analysis of Pseudo-Transient Continuation - Kelley Department Of (1996) (5 citations) (Correct)
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P. D. Orkwis and D. S. McRae, A Newton's method solver for the Navier-Stokes equations. AIAA Paper 90-1524, June 1990.
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