An explicit finite differences scheme over hexagonal tessellation

We introduce a new numerical method inspired in the cellular automata methodology to study the transmission of waves in two-dimensional solids. The stability of the second-order method is investigated and compared with that of a classical finite differences method for both wave and elastic equations...

Full description

Saved in:
Bibliographic Details
Published inApplied mathematics letters Vol. 14; no. 5; pp. 593 - 598
Main Authors Fabero, J.C., Bautista, A., Casasús, L.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.07.2001
Elsevier
Subjects
Computational techniques
Elastic waves
Exact sciences and technology
Finite differences methods
Finite-difference methods
Fundamental areas of phenomenology (including applications)
Hexagonal tessellation
Mathematical methods in physics
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis. Scientific computation
Physics
Sciences and techniques of general use
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Vibrations and mechanical waves
Hexagonal tessellation
Finite differences methods
Elastic waves
Wave equation
Wave transmission
Cellular automaton
Two dimensional model
Numerical method
Elastic wave
Elastodynamics
Finite difference method
Online AccessGet full text

Cover

More Information
Summary:We introduce a new numerical method inspired in the cellular automata methodology to study the transmission of waves in two-dimensional solids. The stability of the second-order method is investigated and compared with that of a classical finite differences method for both wave and elastic equations.
ISSN:0893-9659
1873-5452
DOI:10.1016/S0893-9659(00)00199-3