Higher-order boundary infinite elements Original Research Article

Higher-order approximations are implemented in a novel approach to infinite element formulations for exterior problems of time-harmonic acoustics. This approach is based on a functional which provides a general framework for domain-based computation of exterior problems. Two prominent features of this formulation simplify the task of discretization: the lack of integration over the unbounded domain, and weak enforcement of continuity between finite elements and infinite elements. Consequently, the infinite elements mesh the interface only and need not match the finite elements on the interface. Various infinite element approximations for two-dimensional configurations with circular interfaces are presented. Numerical results demonstrate the good performance of this scheme.