Abstract

There is no single use of the FEM for the problems including unbounded domains because they require countless elements. Thus some combination methods of FEM and analytical solutions have been investigated. In most of them, a single artificial boundary such as a circle is assumed, and analytical solutions are used for the area outside of the artificial boundary. Nevertheless, in problems such as of a wave scattered by several objects, many elements are required to fill the space within the artificial boundary. If the artificial boundaries enclosing the individual objects can be assumed, the number of finite elements can be reduced. This paper deals with a method based on this idea for treating acoustic waves in two dimensions scattered by several objects.

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