The Error Estimates of the Interpolating Element-Free Galerkin Method for Two-Point Boundary Value Problems
Joint Authors
Wang, J. F.
Cheng, Y. M.
Hao, S. Y.
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-09
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The interpolating moving least-squares (IMLS) method is discussed in detail, and a simpler formula of the shape function of the IMLS method is obtained.
Then, based on the IMLS method and the Galerkin weak form, an interpolating element-free Galerkin (IEFG) method for two-point boundary value problems is presented.
The IEFG method has high computing speed and precision.
Then error analysis of the IEFG method for two-point boundary value problems is presented.
The convergence rates of the numerical solution and its derivatives of the IEFG method are presented.
The theories show that, if the original solution is sufficiently smooth and the order of the basis functions is big enough, the solution of the IEFG method and its derivatives are convergent to the exact solutions in terms of the maximum radius of the domains of influence of nodes.
For the purpose of demonstration, two selected numerical examples are given to confirm the theories.
American Psychological Association (APA)
Wang, J. F.& Hao, S. Y.& Cheng, Y. M.. 2014. The Error Estimates of the Interpolating Element-Free Galerkin Method for Two-Point Boundary Value Problems. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-487530
Modern Language Association (MLA)
Wang, J. F.…[et al.]. The Error Estimates of the Interpolating Element-Free Galerkin Method for Two-Point Boundary Value Problems. Mathematical Problems in Engineering No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-487530
American Medical Association (AMA)
Wang, J. F.& Hao, S. Y.& Cheng, Y. M.. The Error Estimates of the Interpolating Element-Free Galerkin Method for Two-Point Boundary Value Problems. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-487530
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-487530