Divergence Stability in Connection with the P-Version of the Finite Element Method.

Abstract

The paper analyzes the divergence stability of the p-version of the finite element method with the applications to the Stokes problem and elasticity problem with nearly uncompressible material. Many problems in continuum mechanics involve an incompressibility condition, usually in the form of a divergence constraint. The numerical discretization of such a constraint presents some interesting problems with regard to stability. As an important example we consider the two dimensional Stokes equations. The lack of divergence stability affects the accuracy of the pressure approximation much more drastically, and a certain postprocessing (filtering) of the pressures may be necessary as p approaches infinity. (jhd)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1987
Accession Number
ADA195696

Entities

People

  • M. Vogelius
  • S. Jensen

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Classification
  • Computations
  • Continuum Mechanics
  • Contracts
  • Convergence
  • Eigenvalues
  • Elastic Properties
  • Equations
  • Finite Element Analysis
  • Inequalities
  • Mathematics
  • Mechanical Properties
  • Numbers
  • Polynomials
  • Square Roots
  • Universities

Readers

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