Dual Reciprocity Method for Potential Problems and Elastodynamics

Abstract

One of the cornerstones of the Boundary Element Method is its use of fundamental solutions to eliminate the domain integral over the adjoint operator. In the absence of source terms, the resulting formulation contains only boundary variables, so that only the boundary of the body has to be discre-tised and not its domain. This reduces the number of nodal unknowns and greatly simplifies the meshing and remeshing process as compared to domain discretisation methods such as Finite Elements or Finite Differences.