Uppsala University Department of Information Technology

Technical Report 2003-055

Rapid Solution of Parameter-Dependent Linear Systems for Electromagnetic Problems in the Frequency Domain

Martin Nilsson

November 2003

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 paper 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 are 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.

Available as PDF (1.8 MB, no cover) and compressed Postscript (1.49 MB, no cover)

Download BibTeX entry.

Uppsala Universitet