Mathematical Foundations for the Boundary-Field Equation Methods in Acoustic and Electromagnetic Scattering
Date
2000
Authors
Hsiao, George C.
Journal Title
Journal ISSN
Volume Title
Publisher
Department of Mathematical Sciences
Abstract
The essence of the boundary-field equation method is the reduction of the
boundary value problem under consideration to an equivalent nonlocal boundary value problem in a bounded domain by using boundary integral equations.
The latter can then be treated by the standard variational method including
its numerical approximations. In this paper, various formulations of the nonlocal boundary value problems will be given for the Helmholtz equation as well
as for the time-harmonic Maxwell equations. Emphasis will be placed upon
the variational formulation for the method and mathematical foundations for
the solution procedure. Some numerical experiments are included for a model
problem in electromagnetic scattering.