Application of hp-adaptive BE/FE methods to elastic scattering

The investigation focuses on the development of hp-adaptive methods for simulation of acoustical scattering problems. The present formulation is based on steady-state linear elasticity equations coupled with the Burton-Miller integral equation, representing the behavior of a surrounding acoustical medium. The highlights of the proposed approach include: a mathematically consistent variational formulation of the problem, an hp-adaptive FE/BE approximation based on standard Galerkin methods, an element by element solver, a residual-based, a posteriori error estimate, an hp-adaptive strategy. Particular attention is given to asymptotic convergence and to a comparison of theory and numerical simulations.