Acceleration and accuracy improvement of FEM computation by using FETI-DP and BI hybrid algorithm

This paper proposes a new hybrid algorithm, which is referred to as FETI-DP-BI, to solve antenna array radiation and scattering problems in electromagnetic simulation. Our mathematical treatment is based on the combination of the dual-primal finite element tearing and interconnecting (FETI-DP) and boundary integral (BI) methods. Decomposed interior FE domains are glued together by the Robin transmission condition (TC) using two Lagrange multipliers, while they communicate with the exterior BI region through the Dirichlet-Neumann or Robin boundary condition (BC). Such a hybridization exhibits an excellent numerical scalability and accuracy, especially when equipped with preconditioners based on absorbing boundary condition (ABC).