Title :
Rapid solution of parameter-dependent linear systems for electromagnetic problems in the frequency domain
Author_Institution :
Dept. of Inf. Technol., Uppsala Univ., Sweden
Abstract :
The minimal residual interpolation method reduces the number of iterations in an iterative method for multiple right-hand sides. It uses computed solutions to initialize an iterative solver with an accurate guess. This work demonstrates the efficiency of the method for frequency sweeps and solving scattering problems by plane waves incident from multiple angles. A bound on the number of solutions required for plane wave scattering before the remaining solutions obtained by minimal residual interpolation only is given. We discuss the performance of the method compared to iterative seed techniques. In a numerical example, a reduction factor of 60 is obtained on the number of matrix vector multiplications.
Keywords :
Maxwell equations; electromagnetic wave scattering; frequency-domain analysis; interpolation; iterative methods; linear systems; matrix algebra; method of moments; vectors; Maxwell equation; MoM; electromagnetic scattering problem; frequency domain; frequency sweep; iterative method; linear equation system; matrix vector multiplication; method of moment; minimal residual interpolation method; multiple right-hand side; parameter-dependent linear system; plane waves incident; Frequency domain analysis; Integral equations; Interpolation; Iterative algorithms; Iterative methods; Linear systems; Magnetic resonance imaging; Maxwell equations; Moment methods; Vectors;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2004.841293
