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A Modified Integral Equation Method for the Electric Boundary-Value Problem for the Vector Helmholtz Equation

Werner Knauff, Rainer Kreß

Abstract

Analogously to the method proposed by Brakhage, Werner, Leis and Panich for the scalar Helmholtz equation, the electric boundary-value problem for the vector Helmholtz equation is reduced to an integral equation which is uniquely solvable for all frequencies. In addition the numerical discretization of this integral equation is discussed.

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Key concepts: Electric-field integral equation, Helmholtz equation, Integral equation, Mathematics, Mathematical analysis, Integro-differential equation, Scalar (mathematics), Discretization