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Preprint
Revisiting the Decoupling of Elastic Waves From a Weak Formulation Perspective
arXiv.org
09 Aug 2018
Abstract
East Asian Journal on Applied Mathematics, 2019 Elastic scattering governed by the Lame system associated with the third-type
or fourth-type boundary condition is considered. It was shown in [8] by two of
the authors that under suitable geometric conditions on the boundary surface of
the elastic inclusion, the longitudinal and shear waves can be decoupled. The
decoupling result in [8] was derived based on analyzing the local boundary
behaviours of the elastic fields. In this article, we provide a different
argument from a variational perspective in proving the decoupling result.
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Details
- Title
- Revisiting the Decoupling of Elastic Waves From a Weak Formulation Perspective
- Creators
- Junjiang LaiHongyu LiuJingni XiaoYifeng Xu
- Publication Details
- arXiv.org
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991021878014304721