Numerical experiments on the solution of Helmholtz equation in the case of domains of complicated boundary shape.

Abstract

Domains of complicated boundary shape are of great practical importance in several fields of technology and applied science; e.g. solid propellant rocket grains, electromagnetic and acoustic waveguides, and certain elements used in nuclear engineering. The technical literature contains very few comparative studies of analytical and numerical solutions when dealing with such rather com plex geometries. The present study constitutes an effort in that direction.