Computation of the time-dependent Green's function of three dimensional elastodynamics in 3D quasicrystals

The time-dependent differential equations of elasticity for 3D quasicrystals are considered in the paper. These equations are written in the form of a vector partial differential equation of the second order with symmetric matrix coefficients. The Green's function is defined for this vector par...

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Bibliographic Details
Published inComputer modeling in engineering & sciences Vol. 81; no. 3&4; pp. 295 - 309
Main Authors Yakhno, V G, H.Çerdik Yaslan
Format Journal Article
LanguageEnglish
Published Henderson Tech Science Press 2011
Subjects
Computation
Computing time
Elastodynamics
Fourier transforms
Green's functions
Icosahedral phase
Mathematical analysis
Mathematical models
Matrix methods
Numerical analysis
Partial differential equations
Quasicrystals
Robustness (mathematics)
Three dimensional
Time dependence
Vectors (mathematics)
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Summary:The time-dependent differential equations of elasticity for 3D quasicrystals are considered in the paper. These equations are written in the form of a vector partial differential equation of the second order with symmetric matrix coefficients. The Green's function is defined for this vector partial differential equation. A new method of the numerical computation of values of the Green's function is proposed. This method is based on the Fourier transformation and some matrix computations. Computational experiments confirm the robustness of our method for the computation of the time-dependent Green's function in icosahedral quasicrystals.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1526-1492
1526-1506
DOI:10.3970/cmes.2011.081.295