Abstract
This chapter is devoted to volume integral equations for physical fields in heterogeneous media. For thin heterogeneities the properties of which contrast sharply with the properties of the host medium, the volume integral equations can be reduced to surface integral equations. The volume and surface integral equations for steady electric fields in heterogeneous conductive media, electrostatic and electrodynamic fields in heterogeneous dielectrics, acoustic fields in heterogeneous fluids, static and dynamic fields in elastic, and poroelastic heterogeneous media are considered. Examples of analytical solutions of the integral equations for heterogeneities of canonical forms are presented.
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