An Analysis of the p-Version of the Finite Element Method for Nearly Incompressible Materials. Uniformly Valid, Optimal Error Estimates.

Abstract

In this paper we analyze the behavior of the so-called p-version of the finite element method when applied to the equations of plane strain linear elasticity. We establish optimal rate error estimates that are uniformly valid, independent of the value of the Poisson ratio, nu, in the interval 0, 1/2. This shows that the p-version does not exhibit the degeneracy phenomenon which has led to the use of various, only partially justified techniques of reduced integration or mixed formulations for more standard finite element schemes and the case of a nearly incompressible material. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1982
Accession Number
ADA116205

Entities

People

  • Michael Vogelius

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Differential Equations
  • Elastic Properties
  • Equations
  • Finite Element Analysis
  • Formulas (Mathematics)
  • Intervals
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • New York
  • Poisson Ratio
  • Standards
  • Theorems
  • United States
  • Universities

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)