Solving the Helmholtz equation using multiply-propagated waves

Author

Miller, E.K. ; Gilbert, M.P.

Author_Institution

Los Alamos Nat. Lab., NM, USA

fYear

1990

fDate

7-11 May 1990

Firstpage

44

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.<>

Keywords

boundary-value problems; electromagnetic wave propagation; matrix algebra; partial differential equations; Helmholtz equation multiple propagator; feasibility test; inhomogeneous objects; modeling technique; multiply-propagated waves; partial differential equation; penetrable objects; system matrices solution; two-point boundary-value problem; Computational modeling; Differential equations; Frequency domain analysis; Integral equations; Laboratories; Linear systems; Maxwell equations; Nonlinear equations; Numerical models; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 1990. AP-S. Merging Technologies for the 90's. Digest.

Conference_Location

Dallas, TX, USA

Type

conf

DOI

10.1109/APS.1990.115045

Filename

115045