Application of a second order accurate finite-difference method to problems of diffraction of elastic waves by gradient layers

11th International Conference on "Mesh methods for boundary-value problems and applications"

Anufrieva, A.V.^1 ; Rung, E.V.^1 ; Tumakov, D.N.^1

Department of Applied Mathematics, Institute of Computer Mathematics and Information Technologies, Kazan Federal University, 18 Kremlyovskaya Street, Kazan

420008, Russia^1

关键词: Elastic parameters;    Finite difference scheme;    Gradient layers;    Numerical experiments;    Second orders;    Smooth curves;    Transversely isotropic layers;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/158/1/012008/pdf
DOI  :  10.1088/1757-899X/158/1/012008

来源: IOP

【 摘 要 】

A generalized statement is formulated for the boundary-value problem describing diffraction of elastic waves by gradient isotropic and transversely isotropic layers. Numerical experiments are conducted for various types of materials filling the layer. A conclusion is drawn that the obtained finite-difference scheme is second-order accurate, when distributions of elastic parameters in the layer are described by smooth curves.