The solution of the non-homogeneous Helmholtz equation by means of the boundary element method
One of the most important advantages of the boundary element method is that no internal discretization of the domain is required. This advantage, however, is generally lost when source terms are present in the governing differential equation. It is shown here that for the non- homogeneous Helmholtz equation with a harmonic source term, it is possible to transform the volume integral into a surface integral thus retaining this feature. The transformation is achieved using the Green formula. The technique is applied to solve numerically a test problem with known simple analytical solution.
scientific article; zbMATH DE number 3880045