Accession Number : ADA314613
Title : Convergence Analysis of Pseudo-Transient Continuation.
Descriptive Note : Final rept.,
Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA
Personal Author(s) : Kelley, C. T. ; Keyes, David E.
PDF Url : ADA314613
Report Date : JUL 1996
Pagination or Media Count : 21
Abstract : Pseudo-transient continuation (Ptc) 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. Ptc succeeds in many of these cases by taking advantage of the underlying PDE structure of the problem. Though widely employed, the convergence of Ptc is rarely discussed. In this paper we prove convergence for a generic form of Ptc and illustrate it with two practical strategies.
Descriptors : *PARTIAL DIFFERENTIAL EQUATIONS, *CONVERGENCE, ALGORITHMS, STEADY STATE, COMPUTATIONS, TIME DEPENDENCE, MATRICES(MATHEMATICS), APPROXIMATION(MATHEMATICS), NUMERICAL INTEGRATION, BOUNDARY VALUE PROBLEMS, NONLINEAR ANALYSIS, EULER EQUATIONS, ITERATIONS.
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE