The Mathematics of Finite Elements and Applications

Abstract

This paper describes theory and methods for developing a posteriori error estimates and an adaptive strategy for hp-finite element approximations of the incompressible Navier-Stokes equations. For an error estimation, use is made of a new approach which is based on the work of Ainsworth, Wu and the author. That theory has been shown to produce good results for general elliptic systems and general hp-finite element method% Recently, these techniques have been extended to the Navier-Stokes equations A three-step adaptive algorithm is also described which produces reasonable hp meshes very efficiently. These techniques are applied to representative transient and steady state problems of incompressible viscous flow.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 30, 1993
Accession Number
ADA266876

Entities

People

  • J. T. Oden

Organizations

  • Brunel University London

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Fluid Dynamics
  • Fluid Flow
  • Mathematical Models
  • Measurement Transportation Algorithms
  • Mechanical Phenomena
  • Mechanical Properties
  • Mechanics
  • Parallel Computing
  • Smoothing (Mathematics)
  • Standing Waves
  • Three Dimensional
  • Two Dimensional
  • Viscous Flow

Readers

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