An unfitted hybridizable discontinuous Galerkin method in shape optimization
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Shape optimization seeks to optimize the shape of a region where certain partial differential equation is posed such that a functional of its solution is minimized/maximized. In this talk we will give an introduction to shape optimization through a model problem, introducing the concepts of shape derivative for a function and perturbation of the shape for a functional, we will deduce the optimality conditions for the problem, and then we will present a numerical algorithm to seek the solution via a hybridizable discontinuous Galerkin method on curved domains, and we will give a brief introduction of this numerical method for solving PDEs on curved domains.
Place: Math, 402 and Zoom: https://arizona.zoom.us/j/82075792519 Password: 150721