Iterative solution of high-order boundary element method for acoustic problems

A high-order boundary element method (BEM) for acoustic problems is presented in this paper. This method is based on the improved Burton-Miller formulation with high-order basis functions. The improved formulation successfully overcomes non-unique problems, and avoids the numerical difficulty of evaluating the hypersingular integral. It leads to the numerical implementations more efficient. Furthermore, the generalized minimal residual method (GMRES) and the efficient approximate inverse preconditioner are applied to accelerate the iterative solution of the BEM system. Several numerical examples clearly demonstrate the accuracy, efficiency and potentially application of the developed method for solving acoustic problems.