On Computing the Pressure by the p Version of the Finite Element Method for Stokes Problem

Abstract

This paper introduces and analyzes two ways of extracting the hydrostatic pressure when solving Stokes problem using the p version of the finite element method. When one uses a local H superscript 1 projection, we show that optimal rates of convergence for the pressure approximation is achieved. When the pressure is not in H superscript, or the value of the pressure is only needed at a few points, one may extract the pressure pointwise using e.g. a single layer potential recovery. Negative norm and interior estimates for the Stokes velocity are derived within the framework of the p version of the F.E.M.

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Document Details

Document Type
Technical Report
Publication Date
Feb 15, 1990
Accession Number
ADA219887

Entities

People

  • Soren Jensen

Organizations

  • University of Maryland, Baltimore

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Fluid Dynamics
  • Geometry
  • Hydrostatic Pressure
  • Interpolation
  • Molecular Dynamics
  • Navier Stokes Equations
  • Numerical Analysis
  • Partial Differential Equations
  • Poisson Equation
  • Polynomials
  • Theorems

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Operations Research