Title :
Multigrid ADI method for two-dimensional electromagnetic simulations
Author :
Wang, Shumin ; Chen, Ji
Author_Institution :
Nat. Inst. of Health, Bethesda, MD, USA
Abstract :
We propose a multigrid alternating-direction implicit (ADI) method for solving two-dimensional Maxwell´s equations. This method is based on interpreting the ADI method as an iterative solver for the Crank-Nicolson (CN) scheme. By introducing a special procedure to solve the residual equation within the ADI framework, multigrid methods are incorporated into the iterative ADI method. The accuracy and efficiency of the proposed method are further demonstrated by numerical examples.
Keywords :
Maxwell equations; differential equations; finite difference time-domain analysis; iterative methods; ADI; Crank-Nicolson scheme; alternating-direction implicit method; electromagnetic simulation; iterative method; multigrid method; two-dimensional Maxwell equation; Finite difference methods; Helium; Iterative methods; Linear systems; Maxwell equations; Multigrid methods; Resonance; Sparse matrices; Time domain analysis; Transmission line matrix methods; Alternating-direction implicit (ADI) method; iterative methods; multigrid methods;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2005.863093
