Multiscale particle method in solving partial differential equations

被引：0
|
作者：
Francomano, Elisa [1 ]
Tortonici, Adele [1 ]
Toscano, Elena [1 ]
Ala, Guido [2 ]
机构：
[1] Univ Palermo, Dipartimento Ingn Informat, Via Sci, I-90128 Palermo, Italy
[2] Univ Palermo, Dipartimento Ingn Elettrica, Elettr & Telecomun, I-90128 Palermo, Italy
来源：
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS | 2007年 / 936卷
关键词：
meshfree particle methods; SPH method; multiresolution analysis;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A novel approach to meshfree particle methods based on multiresolution analysis is presented. The aim is to obtain numerical solutions for partial differential equations by avoiding the mesh generation and by employing a set of particles arbitrarily placed in problem domain. The elimination of the mesh combined with the properties of dilation and translation of scaling and wavelets functions is particularly suitable for problems governed by hyperbolic partial differential equations with large deformations and high gradients.
引用
收藏
页码：230 / +
页数：2
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