Speaker
Alberto Paganini
(University of Leicester)
Description
The well-established level-set shape optimisation method is based on the implicit description of domain boundaries as zero-level sets of a level-set function. Within this framework, domains are updated by evolving the level-set function according to a Hamilton-Jacobi equation, which itself comprises shape gradients as velocity terms.
The common approach is to employ standard finite elements to compute shape gradients and either finite elements of finite differences to solve the relevant Hamilton-Jacobi equation. In this talk, we present a different approach based on polytopic discontinuous Galerkin methods and explore its potential in terms of stability and accuracy.
Authors
Alberto Paganini
(University of Leicester)
Prof.
Emmanuil H. Georgoulis
(Heriot-Watt University and National Technical University of Athens)
Mr
Raphael Fernandes
(University of Leicester)
