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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.NA2025★ 3 cited
A Jacobian-free Newton-Krylov method for cell-centred finite volume solid mechanics
Philip Cardiff, Dylan Armfield, Željko Tuković +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…