A time-splitting Galerkin finite element method for the Davey-Stewartson equations

Yali Gao; Liquan Mei; Rui Li

doi:10.1016/j.cpc.2015.08.004

A time-splitting Galerkin finite element method for the Davey-Stewartson equations

Yali Gao
, Liquan Mei
, Rui Li

School of Mathematics and Statistics

Xi'an Jiaotong University

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

In this paper, we propose a time-splitting Galerkin method to investigate the evolution of the Davey-Stewartson equations. Using time-splitting, we split the nonlinear equations into two subequations: a linear equation and a nonlinear equation. The nonlinear equation is directly solved and the linear equation is approximated by Galerkin finite element. The error norms and conservation variables of four numerical experiments illustrate the efficiency and accuracy of our numerical scheme.

Original language	English
Pages (from-to)	35-42
Number of pages	8
Journal	Computer Physics Communications
Volume	197
DOIs	https://doi.org/10.1016/j.cpc.2015.08.004
State	Published - 1 Dec 2015

Keywords

Davey-Stewartson equations
Galerkin finite element method
Time-splitting method

Access to Document

10.1016/j.cpc.2015.08.004

Cite this

@article{c19c4b2d393b4a8ba53adbd8f21e4331,

title = "A time-splitting Galerkin finite element method for the Davey-Stewartson equations",

abstract = "In this paper, we propose a time-splitting Galerkin method to investigate the evolution of the Davey-Stewartson equations. Using time-splitting, we split the nonlinear equations into two subequations: a linear equation and a nonlinear equation. The nonlinear equation is directly solved and the linear equation is approximated by Galerkin finite element. The error norms and conservation variables of four numerical experiments illustrate the efficiency and accuracy of our numerical scheme.",

keywords = "Davey-Stewartson equations, Galerkin finite element method, Time-splitting method",

author = "Yali Gao and Liquan Mei and Rui Li",

year = "2015",

month = dec,

day = "1",

doi = "10.1016/j.cpc.2015.08.004",

language = "英语",

volume = "197",

pages = "35--42",

journal = "Computer Physics Communications",

issn = "0010-4655",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - A time-splitting Galerkin finite element method for the Davey-Stewartson equations

AU - Gao, Yali

AU - Mei, Liquan

AU - Li, Rui

PY - 2015/12/1

Y1 - 2015/12/1

N2 - In this paper, we propose a time-splitting Galerkin method to investigate the evolution of the Davey-Stewartson equations. Using time-splitting, we split the nonlinear equations into two subequations: a linear equation and a nonlinear equation. The nonlinear equation is directly solved and the linear equation is approximated by Galerkin finite element. The error norms and conservation variables of four numerical experiments illustrate the efficiency and accuracy of our numerical scheme.

AB - In this paper, we propose a time-splitting Galerkin method to investigate the evolution of the Davey-Stewartson equations. Using time-splitting, we split the nonlinear equations into two subequations: a linear equation and a nonlinear equation. The nonlinear equation is directly solved and the linear equation is approximated by Galerkin finite element. The error norms and conservation variables of four numerical experiments illustrate the efficiency and accuracy of our numerical scheme.

KW - Davey-Stewartson equations

KW - Galerkin finite element method

KW - Time-splitting method

UR - https://www.scopus.com/pages/publications/84942989409

U2 - 10.1016/j.cpc.2015.08.004

DO - 10.1016/j.cpc.2015.08.004

M3 - 文章

AN - SCOPUS:84942989409

SN - 0010-4655

VL - 197

SP - 35

EP - 42

JO - Computer Physics Communications

JF - Computer Physics Communications

ER -

A time-splitting Galerkin finite element method for the Davey-Stewartson equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this