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Boundary infinite elements for the Helmholtz equation in exterior domains

✍ Scribed by Isaac Harari; Paul E. Barbone; Michael Slavutin; Rami Shalom

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
230 KB
Volume
41
Category
Article
ISSN
0029-5981

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✦ Synopsis

A novel approach to the development of inΓΏnite element formulations for exterior problems of time-harmonic acoustics is presented. This approach is based on a functional which provides a general framework for domainbased computation of exterior problems. Special cases include non-re ecting boundary conditions (such as the DtN method). A prominent feature of this formulation is the lack of integration over the unbounded domain, simplifying the task of discretization. The original formulation is generalized to account for derivative discontinuities across inΓΏnite element boundaries, typical of standard inΓΏnite element approximations. Continuity between ΓΏnite elements and inΓΏnite elements is enforced weakly, precluding compatibility requirements. Various inΓΏnite element approximations for two-dimensional conΓΏgurations with circular interfaces are presented. Implementation requirements are relatively simple. Numerical results demonstrate the good performance of this scheme.

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