An Internal-Node Adaptation Scheme Applied with the Dual Reciprocity Boundary Element Method.

This paper proposes a node-adaptive algorithm that aims to enhance the effectiveness of the dual reciprocity boundary element method (DRBEM) for numerically solving PDEs. The adaptation algorithm allows the internal nodes to automatically adapt accordingly to a pre-defined criterion during the computing process. The multiquadric radial basis function (MQ-RBF) is used to link the supports from internal nodes to the boundary ones. The proposed adaptation scheme is driven by the local change in velocity (in both x- and ydirections) using a form of normalized error indicator. The node-adaptation manner falls into the h-type of refinement where nodes are automatically added into (or removed from) the computational domain. It is found that the numerical solutions obtained from the proposed adaptation scheme are noticeably improved for all cases under the investigation. This promising aspect certainly provides a numerical tool for better applications of DRBEM toward more complex problems. [ABSTRACT FROM AUTHOR]