Title :
A novel, highly effective preconditioner for solving the finite element-boundary integral matrix equation of 3-D scattering
Author :
Jian Liu ; Jian-Ming Jin
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
Abstract :
We present an efficient finite element-boundary integral (FE-BI) solution. Instead of replacing the FE-BI system with the FE-ABC system and improving the solution through iteration, we use the finite element-absorbing boundary condition (FE-ABC) matrix as a preconditioner and then seek the solution using a Krylov subspace based method. Both mathematical analysis and numerical results are presented to show the high effectiveness of the preconditioner and the fast convergence of the iterative solution.
Keywords :
boundary integral equations; convergence of numerical methods; electromagnetic wave absorption; electromagnetic wave scattering; finite element analysis; iterative methods; matrix algebra; 3D scattering; FE-ABC; Krylov subspace; convergence; finite element-absorbing boundary condition; finite element-boundary integral matrix equation; iterative solution; preconditioner; Boundary conditions; Computational complexity; Computational electromagnetics; Eigenvalues and eigenfunctions; Electromagnetic scattering; Finite element methods; Integral equations; Iterative methods; MLFMA; Sparse matrices;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2001. IEEE
Conference_Location :
Boston, MA, USA
Print_ISBN :
0-7803-7070-8
DOI :
10.1109/APS.2001.959463
