Published Paper

Inserted: 10 apr 2024
Last Updated: 10 apr 2024

Journal: SIAM Journal on Scientific Computing
Year: 2018
Doi: 10.1137/17M1152711

Abstract:

In shape optimisation it is desirable to obtain deformations of a given mesh without negative impact on the mesh quality. We propose a new algorithm using least square formulations of the Cauchy-Riemann equations. Our method allows to deform meshes in a nearly conformal way and thus approximately preserves the angles of triangles during the optimisation process. The performance of our methodology is shown by applying our method to some unconstrained shape functions and a constrained Stokes shape optimisation problem.