Mathematical Problems of Nonlinear Wave Propagation and of Waves in Heterogeneous Media.

Abstract

In Exact non-reflecting boundary conditions by Keller and Givoli, an exact boundary condition is devised for the numerical solution of the reduced wave equation in an infinite domain, using the finite element region without error. This work has been extended to other equations, including those for elastic waves, and small test problems have shown that method is very effective.

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Document Details

Document Type
Technical Report
Publication Date
Oct 31, 1990
Accession Number
ADA239222

Entities

People

  • Joseph Keller

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Chemical Reactors
  • Computer Networks
  • Computers
  • Curvature
  • Differential Geometry
  • Diffusion
  • Elastic Waves
  • Electrical Solitons
  • Equations
  • Finite Element Analysis
  • Geometry
  • Number Theory
  • Wave Equations
  • Wave Propagation
  • Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)