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, Consistent initial condition calculation for differential-algebraic systems, Tech. Report UCRL-JC-122175, Lawrence Livermore National Laboratory, August 1995.

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A Trust Region Method For Parabolic Boundary Control Problems - Kelley Sachs   (Correct)

.... constraints are given by u min (t) 2:75t and u max (t) 4 10 p t: In our numerical examples we discretized in space with piecewise linear finite elements as we did for the multilevel results reported in [14] and integrated in time with the DAE solver DASPK (used in DASSL mode) 4] 5] [6], 15] We used the trust region parameters 0 = 1 = 10 Gamma4 ; 2 = 25; 3 = 75; 1 = 5; 2 = 2: and Delta max = 5: The radius of the trust region was initialized to Delta max = 5. In the test for postsmoothing we used 5 = 10. The approximate active set was computed with ffl = ....

, Consistent initial condition calculation for differential-algebraic systems, Tech. Report UCRL-JC-122175, Lawrence Livermore National Laboratory, August 1995.


A Trust Region Method For Parabolic Boundary Control Problems - Kelley Sachs   (Correct)

.... constraints are given by u min (t) 2:75t and u max (t) 4 10 p t: In our numerical examples we discretized in space with piecewise linear finite elements as we did for the multilevel results reported in [14] and integrated in time with the DAE solver DASPK (used in DASSL mode) 4] 5] [6], 15] 14 We used the trust region parameters 0 = 1 = 10 Gamma4 ; 2 = 25; 3 = 75; 1 = 5; 2 = 2: and Delta max = 5: The radius of the trust region was initialized to Delta max = 5. In the test for postsmoothing we used 5 = 10. The approximate active set was computed ....

, Consistent initial condition calculation for differential-algebraic systems, Tech. Report UCRL-JC122175, Lawrence Livermore National Laboratory, August 1995.


Convergence Analysis Of Pseudo-Transient Continuation - Kelley, Keyes (1997)   (5 citations)  (Correct)

....2.1 to hold. Then there are ffl 3 0 and j such that if j n j, kx 0 Gamma x k ffl 3 , and ffi 0 0, either inf n ffi n = 0 or x n x and ffi n ffi max . Inexact Newton methods, in particular Newton Krylov solvers, have been applied to ODE DAE solvers in [1] 5] 4] 6] [7], and [9] The context here is different in that the nonlinear residual F (x) does not reflect the error in the transient solution but in the steady state solution. The analysis of the initial phase changes through (2.10) We must now estimate ffi n V Gamma1 F (x n ) s n : Set r = ffi ....

....j n j then there is an n such that ke n k ffl. The restrictions on j in Theorem 3.4 seem to be stronger than those on the results on the midrange and terminal phases. This is consistent with the tight defaults on the forcing terms for Newton Krylov methods when applied in the ODE DAE context [1, 5, 6, 7, 9]. 4. Numerical Experiments. In this section we examine a commonly used Psitc technique, switched evolution relaxation (SER) 21] applied to a Newton like method for inviscid compressible flow over a four element airfoil in two dimensions. Three phases corresponding roughly to the ....

, Consistent initial condition calculation for differential-algebraic systems, Tech. Report UCRL-JC122175, Lawrence Livermore National Laboratory, August 1995.


Convergence Analysis of Pseudo-Transient Continuation - Kelley Department Of (1996)   (5 citations)  (Correct)

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, Consistent initial condition calculation for differential-algebraic systems, Tech. Report UCRL-JC-122175, Lawrence Livermore National Laboratory, August 1995.

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