In this chapter, we address application of boundary element methods (BEMs) and boundary domain integral methods (BDIMs) to the solution of inverse problems. The treatment is divided into three broad applications: steady heat conduction, steady fluid flow, and elastostatics. Within each section, several applications are presented, and each section contains conclusions appropriate for that section. Some comments about the potential application of these methods to source detection and unsteady problems closes out the chapter.
