Dual reciprocity versus Bessel function fundamental solution boundary element methods for the plane strain deformation of a thin plate on an elastic foundation

Two different direct boundary element methods are used to solve an interior Dirichlet problem for the Navier equations describing the plane strain deformation of a thin plate on an elastic foundation. One method uses dual reciprocity with the Kelvin fundamental solution. The other method develops a fundamental solution that takes into account the effective load term resulting from the elastic foundation. Both methods, related topics, and tradeoffs are described. Test problems and a numerical convergence study are included.