The Application of the Generalized Finite Difference Method (GFDM) for Modelling Geophysical Test
作者机构：UNEDETS Ingenieros IndustrialesC/Juan del RosalMadridSpain UCLMIMACICiudad RealSpain UPMETSIMMadridSpain
出 版 物：《Journal of Geoscience and Environment Protection》 (地球科学和环境保护期刊（英文）)
年 卷 期：2019年第7卷第4期
页 面：1-17页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：The authors acknowledge the support of the Escuela Tecnica Superior de Ingenieros Industriales(UNED)of Spain,project 2019-IFC02 of the Universidad Politecnica de Madrid(UPM)(Research groups 2019)
主 题：Meshless Methods Generalized Finite Difference Method Geophysics
摘 要：The possibility of using a nodal method allowing irregular distribution of nodes in a natural way is one of the main advantages of the generalized finite difference method (GFDM) with regard to the classical finite difference method. Moreover, this feature has made it one of the most-promising meshless methods because it also allows us to reduce the time-consuming task of mesh generation and the numerical solution of integrals. This characteristic allows us to shape geological features easily whilst maintaining accuracy in the results, which can be a source of great interest when dealing with this kind of problems. Two widespread geophysical investigation methods in civil engineering are the cross-hole method and the seismic refraction method. This paper shows the use of the GFDM to model the aforementioned geophysical investigation tests showing precision in the obtained results when comparing them with experimental data.
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