Exponentially Stable Approximations of Weakly Damped Wave Equations.

Abstract

We consider wave equations with damping in the boundary conditions. Techniques to ascertain the uniform preservation under approximation of exponential stability are presented. Several schemes for which preservation can be guaranteed are analyzed. Numerical results that demonstrate the lack of stability under approximation for several popular schemes (including standard finite difference and finite element schemes) are given.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1991
Accession Number
ADA239124

Entities

People

  • C. Wang
  • H. Thomas Banks
  • Kazufumi Ito

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Control Systems
  • Differential Equations
  • Eigenvalues
  • Equations
  • Finite Element Analysis
  • Galerkin Method
  • Inequalities
  • Mathematics
  • Partial Differential Equations
  • Polynomials
  • Sequences
  • Two Dimensional
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Archaeological Resource Survey
  • Control Systems Engineering.