Direct meshless local Petrov-Galerkin (DMLPG) method for 2D complex Ginzburg-Landau equation

被引：22

作者：

Shokri, Ali ^{[1
]}

Bahmani, Erfan ^{[1
]}

机构：

[1] Univ Zanjan, Fac Sci, Dept Math, Zanjan, Iran

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2019年 / 100卷

关键词：

Direct meshless local Petrov-Galerkin (DMLPG) method; Complex Ginzburg-Landau (GL) equation; Generalized moving least square (GMLS); Local weak form; TIME-PERIODIC SOLUTIONS; FINITE-ELEMENT; NUMERICAL-SOLUTION; SPECTRAL METHOD; MLPG METHOD; BOUNDARY; MODEL;

D O I：

10.1016/j.enganabound.2018.05.008

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, the direct meshless local Petrov-Galerkin (DMLPG) approximation is proposed to solve the two-dimensional complex Ginzburg-Landau equation. DMLPG uses a generalized MLS (GMLS) method which directly approximates test functionals by values at nodes and therefore avoids integration over MLS shape functions and replaces it by a much cheaper integration over polynomials. An Implicit-Explicit method used to deal with the time derivative. Several examples are performed to compare the accuracy and efficiency of the DMLPG method with the traditional MLPG method.

引用

页码：195 / 203

页数：9

共 45 条

[1] IMPLICIT EXPLICIT METHODS FOR TIME-DEPENDENT PARTIAL-DIFFERENTIAL EQUATIONS [J].