Detection of Critical Points Using Multigrid Methods


This paper on "Detection of Critical Points Using Multigrid Methods" was presented at the NAFEMS World Congress on Design, Simulation & Optimisation: Reliability & Applicability of Computational Methods - 9-11 April 1997, Stuttgart, Germany.

Abstract

We describe multigrid methods for use with various continuation procedures to trace equilibrium paths and locate critical points of structures discretized using the finite element method. We also outline a reconditioning technique to remove the ill-conditioning inherent at or near a critical point. A simple two dimensional problem demonstrates the performance of the methods. We show that the multigrid method has potential for quickly examining the collapse of practical engineering structures.

Document Details

Reference

NWC97_22

Authors

Ronnau. A;Parsons. I

Language

English

Type

Paper

Date

1997-04-09

Organisations

University of Illinois

Region

Global

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