Open AccessImproved complex variable element-free Galerkin method for viscoelasticity problems
Author(s) -
Miaojuan Peng,
Qian Liu
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.180203
Subject(s) - galerkin method , viscoelasticity , finite element method , variable (mathematics) , boundary element method , mathematics , discontinuous galerkin method , penalty method , numerical analysis , element (criminal law) , function (biology) , mathematical analysis , boundary value problem , computer science , mathematical optimization , physics , evolutionary biology , biology , political science , law , thermodynamics
In this paper, based on the improved complex variable least-square (ICVMLS) approximation, the improved complex variable element-free Galerkin (ICVEFG) method for two-dimensional viscoelasticity problems is proposed. The ICVMLS approximation is used to form the shape function, the Galerkin weak form is used to obtain the system equations, and the penalty method is used to impose the essential boundary conditions, then the corresponding formulae of the ICVEFG method for two-dimensional viscoelasticity problems are obtained. Finally, some numerical examples are given, and the numerical results from the ICVEFG method are compared with those from the CVEFG method and finite element method, and the results show that the ICVEFG method in this paper has the high computational precision and efficiency.