An Efficient Parallel FE-BI Algorithm for Large-scale Scattering Problems

In this paper, we present fast and accurate solutions of large-scale scattering problems involving three-dimensional objects with arbitrary shapes using parallel finite element-boundary integral method (FE-BI). Particularly, an efficient parallel preconditioner is constructed with both the finite-element matrix and the near-field part of the boundary integral equation operator for the ill-conditioned linear system formulated by the FE-BI. With an efficient parallelization of FE-BI, scattering problems that are discretized with millions of unknowns could be easily solved on distributed-memory computers. The numerical results are presented to demonstrate the accuracy and efficiency of the proposed method.