Title: A Shape calculus approach for time harmonic solid -- fluid interaction problem in stochastic domains.
Speaker: Debopriya Mukherjee, Montanuniversitat Leoben, Austria.
Date and time: February 19, 2020, 3:00pm
Abstract: In this talk, I will deal with the interior solid-fluid interaction problem in harmonic regime with randomly perturbed boundaries. Analysis of the shape derivative and shape Hessian of vector- and tensor-valued functions is provided. Moments of the random solutions are approximated by those of the shape derivative and shape Hessian, and the approximations are of third order accuracy in terms of the size of the boundary perturbation. Our theoretical results are supported by an analytical example on a square domain.
This is a joint work with Thanh Tran, University of New South Wales, Sydney, Australia.