Title :
A hierarchical basis preconditioner for solving FE-BI matrix equations of three-dimensional scattering
Author :
Ban, Yong-Ling ; Nie, Zai-ping
Author_Institution :
Coll. of Electron. Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu
Abstract :
A multilevel recursively defined preconditioner for use with the preconditioned GMRES algorithm is developed and applied to accelerate the solution of the vector finite element-boundary integral (FE-BI) matrix equations of scattering by a three-dimensional cavity. The preconditioner is constructed from a sequence of hierarchical vector spaces arising from the p-version of the finite element method. Numerical studies have been conducted using hexahedral elements for three-dimensional problems with p = 2 . The efficiency of the iterative procedure is illustrated using convergence curves
Keywords :
boundary integral equations; cavity resonators; convergence of numerical methods; electromagnetic wave scattering; finite element analysis; matrix algebra; waveguide theory; FE-BI matrix equations; GMRES algorithm; convergence curves; hierarchical basis preconditioner; three-dimensional cavity; three-dimensional scattering; vector finite element-boundary integral; Acceleration; Educational institutions; Finite element methods; Frequency; Integral equations; Iterative methods; Matrix decomposition; Partial response channels; Scattering; Transmission line matrix methods;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2005 IEEE
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-8883-6
DOI :
10.1109/APS.2005.1551503
