Convergence Analysis of Pseudo-Transient Continuation.

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.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1996
Accession Number
ADA314613

Entities

People

  • Carl Timothy Kelley
  • David E. Keyes

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computations
  • Computer Science
  • Contour Integrals
  • Contracts
  • Convergence
  • Differential Equations
  • Engineering
  • Equations
  • Euler Equations
  • Failure Mode And Effect Analysis
  • Mathematics
  • Navier Stokes Equations
  • Numerical Analysis
  • Partial Differential Equations
  • Standards
  • Steady State
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Neural Network Machine Learning.
  • Systems Analysis and Design