A fast element-free Galerkin method for the fractional diffusion-wave equation

2021 ◽  
pp. 107529
Author(s):  
Xiaolin Li ◽  
Shuling Li
Keyword(s):  
Wave Equation ◽  
Galerkin Method ◽  
Fractional Diffusion ◽  
Element Free Galerkin Method ◽  
Diffusion Wave ◽  
Element Free Galerkin ◽  
Element Free

The improved element-free Galerkin method for three-dimensional wave equation

2012 ◽  
Vol 28 (3) ◽  
pp. 808-818 ◽  
Author(s):  
Zan Zhang ◽  
Dong-Ming Li ◽  
Yu-Min Cheng ◽  
Kim Moew Liew
Keyword(s):  
Wave Equation ◽  
Galerkin Method ◽  
Three Dimensional ◽  
Element Free Galerkin Method ◽  
Element Free Galerkin ◽  
Element Free ◽  
Dimensional Wave

Application of an Element-free Galerkin Method to Water Wave Propagation Problems

2014 ◽  
Vol 60 (1-4) ◽  
pp. 87-105 ◽  
Author(s):  
Ryszard Staroszczyk
Keyword(s):  
Wave Propagation ◽  
Galerkin Method ◽  
Present Model ◽  
Free Surface Elevation ◽  
Element Free Galerkin Method ◽  
Plane Flow ◽  
Element Free Galerkin ◽  
Proposed Model ◽  
Sloping Bed ◽  
Element Free

Abstract The paper is concerned with the problem of gravitational wave propagation in water of variable depth. The problem is solved numerically by applying an element-free Galerkin method. First, the proposed model is validated by comparing its predictions with experimental data for the plane flow in water of uniform depth. Then, as illustrations, results of numerical simulations performed for plane gravity waves propagating through a region with a sloping bed are presented. These results show the evolution of the free-surface elevation, displaying progressive steepening of the wave over the sloping bed, followed by its attenuation in a region of uniform depth. In addition, some of the results of the present model are compared with those obtained earlier by using the conventional finite element method.

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