Penalty‐function iterative procedures for mixed finite element formulations Journal Article uri icon

Overview

abstract

  • AbstractIterative methods for solving mixed finite element equations that correct displacement and stress unknowns in ‘staggered’ fashion are attracting increased attention. This paper looks at the problem from the standpoint of allowing fairly arbitrary approximations to be made on both the stiffness and compliance matrices used in solving for the corrections. The resulting iterative processes usually diverge unless stabilized with Courant penalty terms. An iterative procedure previously constructed for equality‐constrained displacement models is recast to fit the mixed finite element formulation in which displacements play the role of Lagrange multipliers. The penalty function iteration is shown to reduce to an ordinary staggered stress‐displacement iteration if the weight is set to zero. Convergence conditions for these procedures are stated and the potentially troublesome effect of prestress modes noted.

publication date

  • January 1, 1986

has restriction

  • closed

Date in CU Experts

  • December 6, 2013 10:17 AM

Full Author List

  • Felippa CA

author count

  • 1

Other Profiles

International Standard Serial Number (ISSN)

  • 0029-5981

Electronic International Standard Serial Number (EISSN)

  • 1097-0207

Additional Document Info

start page

  • 267

end page

  • 279

volume

  • 22

issue

  • 1