A Finite Element Method for First Order Hyperbolic Systems.

Abstract

A new finite element method is proposed for the numerical solution of a class of initial-boundary value problems for first order hyperbolic systems in one space dimension. An application of our procedure to a system modeling gas flow in a pipe is discussed. Asymptotic error estimates are derived in the L sq norm in space. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1980
Accession Number
ADA085981

Entities

People

  • Mitchell Luskin

Organizations

  • University of Michigan

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Approximation (Mathematics)
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Diffusion
  • Dispersion Relations
  • Equations
  • Errors
  • Finite Element Analysis
  • Flow
  • Formulas (Mathematics)
  • Frequency
  • Mathematical Analysis
  • Mathematics
  • Real Variables
  • Steady State
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Combustion and Flow Dynamics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space