3 papers
math.OC2026
Optimal design with uncertainties: a risk-averse approach
Amal Alphonse, Petar Kunštek, Marko Vrdoljak
We study a class of stochastic optimal design problems for elliptic partial differential equations in divergence form, where the coefficients represent mixtures of two conducting m…
math.OC2026
Hybrid Optimization Techniques for Multi-State Optimal Design Problems
Marko Erceg, Petar Kunštek, Marko Vrdoljak
This paper addresses optimal design problems governed by multi-state stationary diffusion equations, aiming at the simultaneous optimization of the domain shape and the distributio…
math.OC2026
Classical Optimal Designs for Stationary Diffusion with Multiple Phases
Matko Grbac, Ivan Ivec, Marko Vrdoljak
We study optimal design problems for stationary diffusion involving one or more state equations and mixtures of an arbitrary number of anisotropic materials. Since such problems ty…