Improving the accuracy of DRBEM for connective partial differential equations

摘要

The dual reciprocity boundary element method (DRBEM) has been successfully applied to the solution of many examples of linear partial differential equations (PDEs). Our experience with the method shows that it encounters some convergence problems when dealing with connective equations. The main problem lies in the differentiation of a radial basis function in a bounded domain. Here following Zhu and Zhang [Zhu SP, Zhang YL. Improvement on dual reciprocity boundary element method for equations with connective terms. Comm Apple Number Meth 1994;10:361-371], we have proposed and analyzed a transformation technique for removing connective terms. We have shown that our transformation improves and leads to better convergence results with aDRBEM than solving the original PDEs directly. Five numerical examples are illustrated.