A review of infinite element methods

Received (to be inserted Revised by Publisher) This work is devoted to review innnite element discretizations for the Helmholtz equation in exterior domains which have become popular in recent years and many research papers on this topic have appeared in the literature. The early contributions have been mostly motivated by engineering considerations and the variational formulations are in general not stated in a mathematically precise way. Only recently theoretical aspects of the innnite element methodology have been analyzed and helped to put the diierent formulations into a mathematical framework. We build upon this and present and compare the innnite element formulations within this context.

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