In this project, we will study numerical methods for solving shape optimization problems for systems governed by partial differential equations, and which are discretized using an isogeometric approach. Specifically, our aim is to develop efficient methods for computing and maintaining the parametrization of the physical domain under consideration, even when the changes to the outer geometric boundary (shape) are quite large. The focus will be on performing such computations in 3D, possibly including adaptively refined grids. Ultimately, these algorithms will be utilized for solving shape optimization problems in 3D.
Closing date: 12th Febuary
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