L2 Stability Analysis of the Central Discontinuous Galerkin Method and a Comparison between the Central and Regular Discontinuous Galerkin Methods

Abstract

In this paper we give stability analysis and error estimates for the recently introduced central discontinuous Galerkin method when applied to linear hyperbolic equations. A comparison between the central discontinuous Galerkin method and the regular discontinuous Galerkin method in this context is also made. Numerical experiments are provided to validate the quantitative conclusions from the analysis.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2002
Accession Number
ADA466706

Entities

People

  • Chi-Wang Shu
  • Eitan Tadmor
  • Mengping Zhang
  • Yingjie Liu

Organizations

  • Georgia Tech

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Applied Mathematics
  • Boundaries
  • Dissipation
  • Eigenvalues
  • Electronic Mail
  • Equations
  • Error Analysis
  • Errors
  • Fourier Analysis
  • Galerkin Method
  • Inequalities
  • Mathematics
  • Polynomials
  • Runge Kutta Method
  • Standards
  • Universities

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis