The Constraint Method for Solid Finite Elements,

Abstract

The p-version of the finite element method is a new approach to finite element analysis which has been demonstrated to lead to significant computational savings, often by orders of magnitude (this approach was formerly called the constraint method; the new term p-version is more descriptive). Conventional approaches (called the h-version) generally employ low order polynomials as basis functions. Accuracy is achieved by suitably refining the approximating mesh. The p-version uses polynomials of arbitrary order p > or = 2 for problems in plane elasticity where CO continuity is required and polynomials or order p > or = 5 for problems in plate bending where c1 continuity is required

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1981
Accession Number
ADA111895

Entities

People

  • I. Norman Katz

Organizations

  • University of Washington

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Applied Mathematics
  • Civil Engineering
  • Continuity
  • Convergence
  • Differential Equations
  • Elastic Properties
  • Engineering
  • Equations
  • Finite Element Analysis
  • Mathematics
  • Mechanics
  • Numerical Analysis
  • Partial Differential Equations
  • Polynomials
  • Systems Science

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)