P. Gangl

activity

20132026

most citedA multi-material topology optimization algorithm based on the topological derivative

49 citations · 153 across the 24 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.NA2021

Complete topological asymptotic expansion for $L_{2}$ and $H^{1}$ tracking-type cost functionals in dimension two and three

Phillip Baumann, Peter Gangl, Kevin Sturm

In this paper, we study the topological asymptotic expansion of a topology optimisation problem that is constrained by the Poisson equation with the design/shape variable entering…

math.OC2021★ 9 cited

Automated computation of topological derivatives with application to nonlinear elasticity and reaction-diffusion problems

Peter Gangl, Kevin Sturm

While topological derivatives have proven useful in applications of topology optimisation and inverse problems, their mathematically rigorous derivation remains an ongoing research…

Complete topological asymptotic expansion for L2​ and H1 tracking-type cost functionals in dimension two and three

Automated computation of topological derivatives with application to nonlinear elasticity and reaction-diffusion problems

Complete topological asymptotic expansion for $L_{2}$ and $H^{1}$ tracking-type cost functionals in dimension two and three