Isogeometric Analysis generalizes classical finite element analysis and intends to integrate it
with the field of Computer-Aided Design. A central problem in achieving this objective is the …

This article presents an enhanced version of our previous work, hybrid nonuniform
subdivision (HNUS) surfaces, to achieve optimal convergence rates in isogeometric analysis …

A novel adaptive algorithm that is based on new hierarchical Fup (HF) basis functions and a
control volume formulation is presented. Because of its similarity to the concept of …

Neurons exhibit complex geometry in their branched networks of neurites which is essential
to the function of individual neuron but also brings challenges to transport a wide variety of …

Volumetric modeling is an important topic for material modeling and isogeometric
simulation. In this paper, two kinds of interpolatory Catmull-Clark volumetric subdivision …

Megapixel single-photon avalanche diode (SPAD) arrays have been developed recently,
opening up the possibility of deploying SPADs as generalpurpose passive cameras for …

We investigate the isogeometric analysis approach based on the extended Catmull–Clark
subdivision for solving the PDEs on surfaces. As a compatible technique of NURBS …

This article extends the subset of analysis-suitable unstructured T-splines (ASUT-splines)
that have C 1 continuity in irregular regions to allow non-uniform knots at extraordinary …

Given an unstructured mesh consisting of quadrilaterals and triangles (we allow both planar
and non-planar meshes of arbitrary topology), we present the construction of quadratic …

The intracellular transport process plays an important role in delivering essential materials
throughout branched geometries of neurons for their survival and function. Many …