GPU acceleration of variable preconditioned Krylov subspace method for linear system obtained by eXtended element-free Galerkin method

2017 ◽  
Author(s):  
Soichiro Ikuno ◽  
Taku Itoh
Keyword(s):  
Linear System ◽  
Galerkin Method ◽  
Krylov Subspace ◽  
Gpu Acceleration ◽  
Subspace Method ◽  
Element Free Galerkin Method ◽  
Element Free Galerkin ◽  
Element Free ◽  
Preconditioned Krylov Subspace Method ◽  
Extended Element

Application of Extended Element-Free Galerkin Method to Nonlinear Problem

2012 ◽  
Vol 48 (2) ◽  
pp. 487-490 ◽  
Author(s):  
Ayumu Saitoh ◽  
Taku Itoh ◽  
Nobuyuki Matsui ◽  
Atsushi Kamitani
Keyword(s):  
Galerkin Method ◽  
Nonlinear Problem ◽  
Element Free Galerkin Method ◽  
Element Free Galerkin ◽  
Element Free ◽  
Extended Element

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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