An adaptive meshless local Petrov-Galerkin method based on a posteriori error estimation for the boundary layer problems

被引：31
|
作者：
Kamranian, Maryam [1 ]
Dehghan, Mehdi [1 ]
Tatari, Mehdi [2 ,3 ]
机构：
[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, 424 Hafez Ave, Tehran, Iran
[2] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran
[3] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran
来源：
APPLIED NUMERICAL MATHEMATICS | 2017年 / 111卷
关键词：
Meshless methods; Adaptive MLS approximation; MLPG method; Adaptive MLPG method; Boundary layer problems; A posteriori error estimation; TRANSIENT HEAT-CONDUCTION; MLPG METHOD; APPROXIMATION; COLLOCATION; INTERPOLATION;
D O I：
10.1016/j.apnum.2016.09.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new adaptive moving least squares (MLS) method with variable radius of influence is presented to improve the accuracy of Meshless Local Petrov-Galerkin (MLPG) methods and to minimize the computational cost for the numerical solution of singularly perturbed boundary value problems. An error indicator based on a posteriori error estimation, accurately captures the regions of the domain with insufficient resolution and adaptively determines the new nodes location. The effectiveness of the new method is demonstrated on some singularly perturbed problems involving boundary layers. (C) 2016 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：181 / 196
页数：16
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