Publicación: The Application of the Generalized Finite Difference Method (GFDM) for Modelling Geophysical Test
Fecha
2019-04-10
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Prologuista
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Derechos de acceso
info:eu-repo/semantics/openAccess
Título de la revista
ISSN de la revista
Título del volumen
Editor
Wiley
Resumen
A matrix formulation of the generalised finite difference method is introduced. A necessary and sufficient condition for the uniqueness of the solution is demonstrated, and important practical consequences are obtained. A generalised finite differences scheme for SH wave is obtained, the stability of the scheme is analysed and the formula for the velocity of the wave due to the scheme is obtained in order to deal with the numerical dispersion. The method is applied to seismic waves propagation problems, specifically to the problem of reflection and transmission of plane waves in heterogeneous media. A heterogeneous approach without nodes at the interface is chosen to solve the problem in heterogeneous media.
Descripción
La versión registrada de este artículo, publicado por primera vez en Journal of Geoscience and Environment Protection, 7, 1-17, está disponible en línea en el sitio web del editor:https://doi.org/10.4236/gep.2019.74001.
The copyrighted version of this article, first published in Journal of Geoscience and Environment Protection, 7, 1-17, is available online at the publisher's website: https://doi.org/10.4236/gep.2019.74001.
Categorías UNESCO
Palabras clave
Meshless methods, generalized finite difference method, geophysics
Citación
uelas, A., Salete, E., Benito, J. J., Ureña, F., Gavete, L., & Ureña, M. (2019). The Application of the Generalized Finite Difference Method (GFDM) for Modelling Geophysical Test. Journal of Geoscience and Environment Protection, 7, 1-17. https://doi.org/10.4236/gep.2019.74001
Centro
E.T.S. de Ingenieros Industriales
Departamento
Ingeniería de Construcción y Fabricación