An Integral Equation-Based Overlapping Domain Decomposition Method Enhanced With Anderson Acceleration

In this letter, an integral equation-based overlapping domain decomposition method enhanced with Anderson acceleration (IE-ODDM-AA) is proposed for the solution of the electrically large electromagnetic problems whose memory consumptions are too large for the user's computer to accommodate. By augmenting the traditional Gauss–Seidel-like iterative scheme of the IE-ODDM with a popular fixed point acceleration technique named Anderson acceleration, the convergence behavior of the IE-ODDM is greatly improved. Particularly, for the domain partitioning cases where the traditional scheme of the IE-ODDM diverges, the presented IE-ODDM-AA can still yield convergent solutions. Several numerical examples are provided to validate the proposed method.