Analysis of the Boundary Knot Method for 3D Helmholtz-Type Equation
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-13
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Numerical solutions of the boundary knot method (BKM) always perform oscillatory convergence when using a large number of boundary points in solving the Helmholtz-type problems.
The main reason for this phenomenon may contribute to the severely ill-conditioned full coefficient matrix.
In order to obtain admissible stable convergence results, regularization techniques and the effective condition number are employed in the process of simulating 3D Helmholtz-type problems.
Numerical results are tested for the 3D Helmholtz-type equation with noisy and non-noisy boundary conditions.
It is shown that the BKM in combination with the regularization techniques is able to produce stable numerical solutions.
American Psychological Association (APA)
Wang, F. Z.& Zheng, K. H.. 2014. Analysis of the Boundary Knot Method for 3D Helmholtz-Type Equation. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-503493
Modern Language Association (MLA)
Wang, F. Z.& Zheng, K. H.. Analysis of the Boundary Knot Method for 3D Helmholtz-Type Equation. Mathematical Problems in Engineering No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-503493
American Medical Association (AMA)
Wang, F. Z.& Zheng, K. H.. Analysis of the Boundary Knot Method for 3D Helmholtz-Type Equation. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-503493
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503493
