1990•Unpublished venueRequires access

Solving the Helmholtz equation using multiply-propagated waves

E.K. Miller, M.P. Gilbert

Abstract

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.>

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Key concepts: Helmholtz equation, Propagator, Analogy, Helmholtz free energy, Partial differential equation, Boundary value problem, Mathematics, Point (geometry)