Stability Analysis of Finite-Difference Schemes for the Viscoelastic Wave Equation

Abstract

It is difficult to predict stability properties of a finite difference scheme. It has to be investigated through the roots of the Z-transformed and Fourier transformed difference scheme (modal equation). To simultaneously investigate several schemes for the viscoelastic wave equation, it is possible to derive the modal equation with parameterized coefficients. Several conditionally stable schemes were found, where the most efficient is a staggered scheme with a stability condition closely resembling that of an elastic scheme.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Oct 05, 1994
Accession Number
ADA444965

Entities

People

  • Joakim O. Blanch
  • William W. Symes

Organizations

  • Rice University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Equations
  • Information Operations
  • Mathematics
  • Stability Conditions
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)