A Comparison on Accuracy of Finite Element Method and MQ-Radial Basis Function Networks in Solving Poisson's Equation

被引：0
|
作者：
Mazarei, Mohammad Mehdi [1 ]
Heydari, Abdoreza [1 ]
机构：
[1] Islamic Azad Univ, Bushehr Branch, Dept Sci, Bushehr, Iran
来源：
2ND INTERNATIONAL ADVANCES IN APPLIED PHYSICS AND MATERIALS SCIENCE CONGRESS | 2012年 / 1476卷
关键词：
Finite Element Method (FEM); Multiquadric radial basis function network (MQ-RBFN); Poisson's equation; Numerical solution; DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION;
D O I：
10.1063/1.4751574
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper presents numerical solution of Poisson's equation using Finite Element Method and MQ-radial basis function networks. Also, a comparison is made between these numerical methods for solving Poisson's equation, numerically and shows some failures of Finite Element Method in this case. Furthermore, we show that, resulted numerical solutions for a rectangular domain is more accurate than non-rectangular ones. Generally, Finite Element Method is not an appropriate method for those PDEs with non-rectangular domains.
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页码：100 / 104
页数：5
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