TY  - BOOK
AU  - Gao,X.
TI  - The radial integration method for evaluation of domain integrals with boundary-only discretization
KW  - BOUNDARY ELEMENT METHOD
KW  - DOMAIN INTEGRAL
KW  - BOUNDARY INTEGRAL
KW  - RADIAL INTEGRATION
KW  - RADIAL BASIS FUNCTION
KW  - DUAL RECIPROCITY METHOD
N2  - In this paper, a simple and robust method, called the radial integration method, is presented for transforming domain integrals into equivalent boundary integrals. Any two- or three-dimensional domain integral can be evaluated in a unified way without the need to discretize the domain into internal cells. Domain integrals consisting of known functions can be directly and accurately transformed to the boundary, while for domain integrals including unknown variables, the transformation is accomplished by approximating these variables using radial basis functions. In the proposed method, weak singularities involved in the domain integrals are also explicitly transformed to the boundary integrals, so no singularities exist at internal points. Some analytical and numerical examples are presented to verify the validity of this method
UR  - https://drive.google.com/file/d/177o2l0vhxcVOQRi2A28xrin28gdQeaPy/view?usp=drivesdk
ER  -