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math.NA2026
Bijectivity analysis of rational T-spline surfaces via Bernstein representations
Jia-Xuan Li, Ying-Ying Yu, Ya-Shu Liu +3
Ensuring the bijectivity of spline-based parameterizations is fundamental in geometric modeling and isogeometric analysis, as invalid mappings may lead to self-intersections, singu…
math.NA2026
Parameterization-driven arbitrary Lagrangian-Eulerian method for large-deformation isogeometric fluid-structure interaction
Jingya Li, Ye Ji, Hugo Verhelst +2
Body-fitted arbitrary Lagrangian-Eulerian (ALE) methods provide a sharp representation of the fluid-structure interface but rely on mesh-update strategies that incrementally deform…