3 papers
math.NA2026
A Jacobian-free Newton-Krylov method for high-order cell-centred finite volume solid mechanics
Ivan Batistic, Pablo Castrillo, Philip Cardiff
This work extends the application of Jacobian-free Newton-Krylov (JFNK) methods to higher-order cell-centred finite-volume formulations for solid mechanics. While conventional sche…
math.NA2026
A finite volume Simo-Reissner beam method for moored floating body dynamics
Amirhossein Taran, Seevani Bali, Zeljko Tukovic +2
This paper presents a novel finite volume mooring line model based on the geometrically exact Simo-Reissner beam model for analysing the interaction between a floating rigid body a…
math.NA2026
A Jacobian-free Newton-Krylov method for cell-centred finite volume solid mechanics
Philip Cardiff, Dylan Armfield, Željko TukoviÄ +1
This study investigates the efficacy of Jacobian-free Newton-Krylov methods in finite-volume solid mechanics. Traditional Newton-based approaches require explicit Jacobian matrix f…