Research on Error Estimations of the Interpolating Boundary Element Free-Method for Two-Dimensional Potential Problems
Joint Authors
Wang, J. F.
Sun, Fengxin
Xu, Ying
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-25
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The interpolating boundary element-free method (IBEFM) is a direct solution method of the meshless boundary integral equation method, which has high efficiency and accuracy.
The IBEFM is developed based on the interpolating moving least-squares (IMLS) method and the boundary integral equation method.
Since the shape function of the IMLS method satisfies the interpolation characteristics, the IBEFM can directly and accurately impose the essential boundary conditions, which overcomes the shortcomings of the original boundary element-free method in enforcing the essential boundary approximately.
This paper will study the error estimations of the IBEFM for two-dimensional potential problems and the relationship between the errors and the influence radius and the condition number of the coefficient matrix.
Two numerical examples are presented to verify the correctness of the theoretical results in this paper.
American Psychological Association (APA)
Wang, J. F.& Sun, Fengxin& Xu, Ying. 2020. Research on Error Estimations of the Interpolating Boundary Element Free-Method for Two-Dimensional Potential Problems. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1196738
Modern Language Association (MLA)
Wang, J. F.…[et al.]. Research on Error Estimations of the Interpolating Boundary Element Free-Method for Two-Dimensional Potential Problems. Mathematical Problems in Engineering No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1196738
American Medical Association (AMA)
Wang, J. F.& Sun, Fengxin& Xu, Ying. Research on Error Estimations of the Interpolating Boundary Element Free-Method for Two-Dimensional Potential Problems. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1196738
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196738