In this paper a new technique is presented for transferring the domain integrals in the boundary integral equation method into equivalent boundary integrals. The technique has certain similarities to the dual reciprocity method (DRM) in the way radial basis functions are used to approximate the body
Integrals of radial basis functions for boundary element method
β Scribed by Mikhailov, M. D.
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 39 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1069-8299
No coin nor oath required. For personal study only.
β¦ Synopsis
The technique for transferring the domain integrals into equivalent boundary integrals, published in this journal by Wen, Aliabadi and Rooke, requires analytical expressions for ΓΏve integrals of radial basis functions. Exact solutions for these integrals are obtained by using Mathematica. The solutions are equivalent to the published one, but more convenient for computation. One of the published solutions is wrong.
π SIMILAR VOLUMES
The Boundary Element Method is a very e ective method for solving linear di erential equations. To use it also in the consideration of non-linear problems some di erent procedures were developed, among them the dual reciprocity method and the particular integral method. Both procedures use interpola
The discretization of the boundary in boundary element method generates integrals over elements that can be evaluated using numerical quadrature that approximate the integrands or semi-analytical schemes that approximate the integration path. In semi-analytical integration schemes, the integration p
The authors present a new singular function boundary integral method for the numerical solution of problems with singularities which is based on approximation of the solution by the leading terms of the local asymptotic expansion. The essential boundary conditions are weakly enforced by means of app