Special types of boundary elements are discussed which can be used for the modelling of surfaces which extend to infinity. The theoretical background and details of implementation are discussed. On test examples it is shown that the elements perform extremely well even for cases in which they are lo
Higher-order boundary infinite elements
β Scribed by Isaac Harari; Rami Shalom; Paul E. Barbone
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 962 KB
- Volume
- 164
- Category
- Article
- ISSN
- 0045-7825
No coin nor oath required. For personal study only.
β¦ Synopsis
Higher-order approximations are implemented in a novel approach to infinite element formulations for exterior problems of timeharmonic acoustics. This approach is based on a functional which provides a general framework for domain-based computation of exterior problems. Two prominent features of this formulation simplify the task of discretization: the lack of integration over the unbounded domain, and weak enforcement of continuity between finite elements and infinite elements. Consequently, the infinite elements mesh the interface only and need not match the finite elements on the interface. Various infinite element approximations for two-dimensional configurations with circular interfaces are presented. Numerical results demonstrate the good performance of this scheme.
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