Solving the Helmholtz equation using multiply-propagated waves

The Helmholtz equation multiple propagator (HEMP) for solving system matrices from partial differential equation (PDE) models is described. It will be of order N/sup 1/2/ and N/sup 2/3/ faster than banded techniques commonly used for two-dimensional and three-dimensional problems having N unknowns....

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Published inInternational Symposium on Antennas and Propagation Society, Merging Technologies for the 90's pp. 44 - 47 vol.1
Main Authors Miller, E.K., Gilbert, M.P.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1990
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Summary:The Helmholtz equation multiple propagator (HEMP) for solving system matrices from partial differential equation (PDE) models is described. It will be of order N/sup 1/2/ and N/sup 2/3/ faster than banded techniques commonly used for two-dimensional and three-dimensional problems having N unknowns. It is pointed out that HEMP could improve the efficiency of the only modeling technique suitable for problems involving penetrable, inhomogeneous objects. The two-point boundary-value problem analogy for HEMP is considered, and a feasibility test for HEMP is discussed.< >
DOI:10.1109/APS.1990.115045