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We analyse the dependence with respect to a given domain of the solution of a fluid-structure interaction scattering problem. We establish that the scattered field is continuously Frechet differentiable with… Click to show full abstract
We analyse the dependence with respect to a given domain of the solution of a fluid-structure interaction scattering problem. We establish that the scattered field is continuously Frechet differentiable with respect to the shape of the elastic scatterer. Our proof assumes that the boundary of the scatterer as well as the admissible perturbations to be only Lipschitzian. Given the applied nature of this problem and its prevalence in engineering and numerical literature, this new result appears to be of practical interest. Copyright © 2015 John Wiley & Sons, Ltd.
Journal Title: Mathematical Methods in The Applied Sciences
Year Published: 2017
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