Title :
The triangular matrix preconditioners for solutions of partial differential equations in electromagnetics
Author :
Bo, Yaming ; Hong, Wei ; Song, Shulin
Abstract :
In this paper, a technique for preconditioner construction by means of the finite difference matrices is presented for solutions of both static and harmonic problems, in which the partial differential operators are converted into matrices under the finite difference discretization. The validity and the efficiency of the preconditioned algorithms are verified by some examples.
Keywords :
computational electromagnetics; difference equations; mathematical operators; matrix algebra; partial differential equations; electromagnetics; finite difference discretization; finite difference matrices; harmonic problems; partial differential equations; partial differential operators; preconditioner construction; static problems; triangular matrix preconditioners; Arithmetic; Character generation; Difference equations; Differential equations; Finite difference methods; Integral equations; Matrix converters; Matrix decomposition; Partial differential equations; Sparse matrices;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2005 IEEE
Print_ISBN :
0-7803-8883-6
DOI :
10.1109/APS.2005.1552627