Title :
The approximate inverse preconditioner for finite element analysis of helmholtz equations
Author :
Ping, Xuewei ; Yu, Wenming ; Cui, Tiejun
Author_Institution :
State Key Lab. of Millimeter Waves, Southeast Univ., Nanjing, China
Abstract :
In this paper, the sparse inverse (AINV) preconditioner is considered for the conjugate gradient iterative solution of large sparse FEM linear systems. The numerical efficiency of the AINV preconditioner is illustrated on a dielectric sphere and a compound cylinder in the final of the paper. The results showed that the AINV-CG solver is an efficient approach for the FEM solution of electromagnetic scattering problems.
Keywords :
Helmholtz equations; approximation theory; conjugate gradient methods; electromagnetic wave scattering; finite element analysis; iterative methods; sparse matrices; AINV preconditioner; AINV-CG solver; Helmholtz equations; approximate inverse preconditioner; compound cylinder; conjugate gradient iterative solution; dielectric sphere; electromagnetic scattering; finite element analysis; large sparse FEM linear systems; numerical efficiency; sparse inverse preconditioner; Acceleration; Computational modeling; Electromagnetic scattering; Equations; Finite element methods; Information analysis; Laboratories; Linear systems; Sparse matrices; Symmetric matrices; AINV; Electromagnetic scattering; Finite element method; preconditioning;
Conference_Titel :
Microwave Conference, 2009. APMC 2009. Asia Pacific
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-2801-4
Electronic_ISBN :
978-1-4244-2802-1
DOI :
10.1109/APMC.2009.5385417
