Electromagnetic scattering for dielectrics: iterative methods for solving boundary integral equations

Authors:
B. Bielefeld, Y. Deng, J. Glimm, F. Tangerman and J. S. Asvestas

Journal:
Proc. Amer. Math. Soc. **122** (1994), 719-725

MSC:
Primary 65N99; Secondary 49L99, 78A45

MathSciNet review:
1218113

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Abstract: We consider multigrid iterative methods for the solution of electromagnetic scattering for dielectric materials. We show convergence of the iteration using coarse grids which are two to four times coarser in each dimension than the fine grid. These results allow a significant increase in problem size and solution speed, for a given hardware configuration. We report in particular on the solution of scattering problems which require the solution of 31,000 equations on the fine grid, using the direct solution of 3,500 double precision equations on the coarse grid, and project the ability to solve significantly larger systems using larger machines or an out-of-core capability.

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DOI:
http://dx.doi.org/10.1090/S0002-9939-1994-1218113-0

Article copyright:
© Copyright 1994
American Mathematical Society