Discrete Spectrum Analyses for Various Mixed Discretizations of the Stokes Eigenproblem

Abstract

We conduct discrete spectrum analyses for a selection of mixed discretization schemes for the Stokes eigenproblem. In particular, we consider the MINI element, the Crouzeix-Raviart element, the Marker-and- Cell scheme, the Taylor-Hood element, the Q(sub k)/P(sub k-1) element, the divergence-conforming discontinuous Galerkin method, and divergence-conforming B-splines. For each of these schemes, we compare the spectrum for the continuous Stokes problem with the spectrum for the discrete Stokes problem, and we discuss the relationship of eigenvalue errors with solution errors associated with unsteady viscous flow problems.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 2012
Accession Number
ADA567597

Entities

People

  • John Andrew Evans
  • Thomas J.R. Hughes

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Eigenvalues
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Galerkin Method
  • Mathematical Analysis
  • Numerical Analysis
  • Numerical Methods And Procedures
  • Resonant Frequency
  • Simulations
  • Spectra
  • Spectrum Analysis
  • Stratified Fluids
  • Viscous Flow

Readers

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