2 papers
math.NA2025
Robust fully discrete error bounds for the Kuznetsov equation in the inviscid limit
Benjamin Dörich, Vanja NikoliÄ
The Kuznetsov equation is a classical wave model of acoustics that incorporates quadratic gradient nonlinearities. When its strong damping vanishes, it undergoes a singular behavio…
math.OC2025
Homotopy trust-region method for phase-field approximations in perimeter-regularized binary optimal control
Paul Manns, Vanja NikoliÄ
We consider optimal control problems that have binary-valued control input functions and a perimeter regularization. We develop and analyze a trust-region algorithm that solves a s…