Title :
Preconditioning of Periodic Fast Multipole Method for Solving Volume Integral Equations
Author :
Misawa, Ryota ; Nishimura, Nozomi ; Mei Song Tong
Author_Institution :
Dept. of Appl. Anal. & Complex Dynamical Syst., Kyoto Univ., Kyoto, Japan
Abstract :
Application of FMM to the volume integral equations for periodic boundary value problem for Maxwell´s equations is investigated. We propose effective preconditioners for the discretized volume integral equations. We confirm the accuracy and high performances of the proposed method in several numerical examples including periodic problems near Wood´s anomalies.
Keywords :
Maxwell equations; boundary integral equations; boundary-value problems; FMM; Maxwell equations; Wood anomalies; discretized volume integral equations; periodic boundary value problem; periodic fast multipole method; periodic problems; Acceleration; Boundary value problems; Equations; Green´s function methods; Integral equations; Lattices; Time-frequency analysis; Fast multipole methods; integral equations; periodic structures; preconditioner;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2014.2327652
