Line Search Globalisation 

Matthias Gerdts, Stefan Horn, Sven-Joachim Kimmerle,
J. Ind. Manag. Optim. 13(1) (2017), 47-62

Link zur Verlagsseite


In recent years, the stability and lifetime of nanobubbles have raised new scientific questions as experimental techniques for nanobubble generation and measurements have advanced. In this contribution, we present a physical model for bulk nanobubbles and simulate their dissolution numerically using a rigorous treatment of the underlying governing equations. Additionally, we simulate surface nanobubbles with small contact angles replenished through hydrogen electrolysis at a platinum electrode, and discuss the relation between the mass transfer coefficient at the bubble surface and the supplied hydrogen flux at steady-state.


  • Gerdts, M., Horn, S., Kimmerle, S.-J.: Line Search Globalization of a Semismooth Newton Method for Operator Equations in Hilbert Spaces with Applications in Optimal Control, J. Ind. Manag. Optim. 13(1) (2017), 47-62, DOI: