2 papers
math.NA2026
Adaptively-refinable polar-spline discrete differential forms: hierarchical construction, exactness, and applications
Diogo C. Cabanas, Deepesh Toshniwal, Rafael Vazquez
A common approach to representing disk-like and sphere-like geometries in isogeometric analysis is to use collapsed-edge singularities in the underlying parameterization. The resul…
math.NA2025
Construction of exact refinements for the two-dimensional hierarchical B-spline de Rham complex
Diogo C. Cabanas, Kendrick M. Shepherd, Deepesh Toshniwal +1
The de Rham complex arises naturally when studying problems in electromagnetism and fluid mechanics. Stable numerical methods to solve these problems can be obtained by using a dis…