Solution Techniques in Finite Element Analysis.

Abstract

A desirable advantage of iterative methods is that they provide means of controlling the accuracy of the solution. In particular, when low levels of accuracy are required this can result in faster algorithms than the direct methods. The use of the conjugate gradient algorithm to solve the linearized system of equations is considered. A preconditioning matrix based on a splitting method is constructed. The outcome is an algorithm which results in substantial reduction in storage over direct methods. The above method is compared with its rivals on several quite different problems in structural mechanics and favorable results were obtained. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1983
Accession Number
ADA139552

Entities

People

  • B. Nour-omid
  • C. Rodrigues
  • R. L. Taylor

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • California
  • Civil Engineering
  • Coefficients
  • Computational Science
  • Constitutive Equations
  • Differential Equations
  • Engineering
  • Equations
  • Finite Element Analysis
  • Mechanics
  • Stiffness
  • Structural Mechanics
  • Three Dimensional
  • Transient Response Analysis
  • Two Dimensional

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design