activity
20232026
collaborators

6 papers

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…

math.NA2025

Regularity analysis and verification of Coons volume mappings

Yingying Yu, Yashu Liu, Jiaxuan Li +3

The Coons volume provides a classical approach for constructing three-dimensional parametric mappings via boundary surface interpolation and is widely employed in volumetric mesh g…

math.NA2025

Efficient thermal simulation in metal additive manufacturing via semi-analytical isogeometric analysis

Yang Yang, Ye Ji, Matthias Möller +1

Thermal modeling of Laser Powder Bed Fusion (LPBF) is challenging due to steep, rapidly moving thermal gradients induced by the laser, which are difficult to resolve accurately wit…

math.NA2024

Boundary parameter matching for isogeometric analysis using Schwarz-Christoffel mapping

Ye Ji, Matthias Möller, Yingying Yu +1

Isogeometric analysis has brought a paradigm shift in integrating computational simulations with geometric designs across engineering disciplines. This technique necessitates analy…

math.NA2023

A short report on preconditioned Anderson acceleration method

Kewang Chen, Ye Ji, Matthias Möller +1

In this report, we present a versatile and efficient preconditioned Anderson acceleration (PAA) method for fixed-point iterations. The proposed framework offers flexibility in bala…