An efficient algebraic multigrid preconditioner for a fast multipole boundary element method

Fast boundary element methods still need good preconditioning techniques for an almost optimal complexity. An algebraic multigrid method is presented for the single layer potential using the fast multipole method. The coarsening is based on the cluster structure of the fast multipole method. The effort for the construction of the nearfield part of the coarse grid matrices and for an application of the multigrid preconditioner is of the same almost optimal order as the fast multipole method itself.