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):

Report Date:

1996-07-01

Pagination or Media Count:

21.0

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.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE