Showing math.NAShow all
3 papers · 1 filter
math.NA2026
Cahn-Hilliard phase-field modeling of tumor growth via locally adaptive isogeometric analysis with THB-splines
Dhiraj S. Bombarde, Carlotta Giannelli, Alessandro Reali +1
Predicting tumor dynamics in biological systems under physiologically relevant conditions using mathematical and computational models remains a challenging problem. Continuum model…
math.NA2026
Adaptive isogeometric analysis of high-order phase-field fracture based on THB-splines
H. M. Verhelst, L. Greco, A. Reali
In recent decades, the study of fracture propagation in solids has increasingly relied on phase-field models. Several recent contributions have highlighted the potential of this ap…
math.NA2025
AT1 fourth-order isogeometric phase-field modeling of brittle fracture
Luigi Greco, Eleonora Maggiorelli, Matteo Negri +2
A crucial aspect in phase-field modeling, based on the variational formulation of brittle fracture, is the accurate representation of how the fracture surface energy is dissipated…