Alternative DRM formulations
In this paper, we present two DRM formulations. For a pseudo-Poisson equation, if the right-hand side is a linear operation on the dependent variable, we can derive a new DRM formulation. In comparison with the traditional DRM formulation for the same equation, the proposed approach is much easier and more efficient. For the axisymmetric Poisson equation, we construct a DRM formulation by using the linear axisymmetric radial basis function. The particular solution involved is obtained in a closed form, and thus speeds up the evaluation of the particular solution. Three numerical examples demonstrate the accuracy and efficiency of these formulations.
drm formulation pseudo-poisson equation dual reciprocity method