Showing math.NAShow all
3 papers · 1 filter
math.NA2026
Weighted Quadrature on Unstructured Splines
Ji Sheng, Xiaodong Wei, Falai Chen
This work presents a weighted quadrature (WQ) method to fast assemble Galerkin matrices based on unstructured spline surfaces. The method is developed upon a particular variant of…
math.NA2026
An inertial minimal-deformation-rate framework for shape optimization
Falai Chen, Buyang Li, Jiajie Li +1
We propose a robust numerical framework for PDE-constrained shape optimization and Willmore-driven surface hole filling. To address two central challenges -- slow progress in flat…
math.NA2026
Element-based B-spline basis function spaces: construction and application in isogeometric analysis
Peng Yang, Maodong Pan, Falai Chen +1
This paper develops a unified theoretical framework for constructing B-spline basis function spaces with structural equivalence to finite element spaces. The theory rigorously esta…