On Cell Entropy Inequality for Discontinuous Galerkin Methods

Abstract

We prove a cell entropy inequality for a class of high order discontinuous Galerkin finite element methods approximating conservation laws, which implies convergence for the one dimensional scalar convex case.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1993
Accession Number
ADA269010

Entities

People

  • Chi-Wang Shu
  • Guangshan Jiang

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Approximation (Mathematics)
  • Availability
  • Boundaries
  • Computations
  • Contractors
  • Contracts
  • Convergence
  • Equations
  • Finite Element Analysis
  • Galerkin Method
  • Geometry
  • Inequalities
  • Mathematics
  • Polynomials
  • Truncation

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis