TY - JOUR

T1 - Electromagnetics catteringf or dielectrics

T2 - Iterative methods for solving boundaryi ntegral equations

AU - Bielefeldy, B.

AU - Deng, Y.

AU - Glimm, J.

AU - Tangermana, F.

AU - Asvesta, J. S.

PY - 1994/11

Y1 - 1994/11

N2 - 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.

AB - 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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U2 - 10.1090/S0002-9939-1994-1218113-0

DO - 10.1090/S0002-9939-1994-1218113-0

M3 - Article

AN - SCOPUS:0039570890

SN - 0002-9939

VL - 122

SP - 719

EP - 725

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 3

ER -