Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Applications of generalized stress in elastodynamics

Author: Douglas B. Meade
Journal: Quart. Appl. Math. 49 (1991), 121-145
MSC: Primary 73D25; Secondary 65N30, 65N38, 73C99, 73V05
DOI: https://doi.org/10.1090/qam/1096236
MathSciNet review: MR1096236
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Abstract: The problem under consideration is the scattering of elastic waves by inhomogeneous obstacles. The main goal is to obtain approximation techniques which are amenable to numerical implementation. For time-periodic problems a coupling procedure involving finite elements and boundary integral equations is described. For general time-dependent problems, artificial boundary methods are studied. In both cases the concept of generalized stress, as originated by Kupradze, plays a central role. The analysis is restricted to planar two-dimensional problems since these illustrate the essential ideas.

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DOI: https://doi.org/10.1090/qam/1096236
Article copyright: © Copyright 1991 American Mathematical Society

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