SUMMARYA new, improved infinite element based on mapping is proposed for modelling unbounded domain problems. Mapping has previously been used in such problems, not only for the entire domain, but also for the infinite element itself. The novelty of the present approach is the simplicity of the mapping, and the retention of standard integration abscissae and weights. The implementation of these elements is very straightforward, and they are ideally suited for the analysis of infinite domain static problems in two and three dimensions.

SUMMARYRecently, a new type of infinite elements which uses r-' decay was proposed. They were applied to exterior wave problems and good results were obtained. In two-dimensional problems, however, it was necessary to move the origin of the r -l decay in order to model the outgoing wave more accurately, because it decays roughly as r-'/'. In this paper, the mapped infinite elements with r-ll' decay and the necessary numerical integration procedure are presented. These elements d o not require any artificial movement of the origin.Several example problems are solved. The results show that the infinite elements with r -''* decay here give much more accurate values than the infinite elements with exponential decay and any damper elements.

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