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Abstract: . Pseudo-transient continuation (\Psitc) is a well-known and physically motivated technique for computation of steady-state solutions of time-dependent partial differential equations. Standard globalization strategies such as line search or trust region methods often stagnate at local minima. \Psitc succeeds in many of these cases by taking advantage of the underlying PDE structure of the problem. Though widely employed, the convergence of \Psitc is rarely discussed. In this paper we prove... (Update)
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...number passes the value Re = 770.0 on this 128 128 mesh. Standard techniques for going further would employ pseudo time stepping [19], nonlinear continuation in h or Re [29] or mesh sequencing [29] ASPIN converges for a much larger range of Reynolds numbers as shown in...
.... nonlinear boundary value problem solver with a classical name: NewtonKrylov Schwarz (NKS) 9] We combine NKS with pseudo timestepping [13] and use the shorthand #NKS to describe the algorithm. To implement this algorithm in FUN3D, we employ the PETSc package [4] which...
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BibTeX entry: (Update)
C. T. Kelley and D. E. Keyes. Convergence analysis of pseudo-transient continuation. Technical Report 96-46, ICASE, 1996. SIAM J. Num. Anal., to appear. http://citeseer.ist.psu.edu/article/kelley97convergence.html More
@article{ kelley98convergence,
author = "C. T. Kelley and David E. Keyes",
title = "Convergence Analysis of Pseudo-Transient Continuation",
journal = "SIAM Journal on Numerical Analysis",
volume = "35",
number = "2",
pages = "508--523",
year = "1998",
url = "citeseer.ist.psu.edu/article/kelley97convergence.html" }
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