An optimally convergent smooth blended B-spline construction for unstructured quadrilateral and hexahedral meshes

  title={An optimally convergent smooth blended B-spline construction for unstructured quadrilateral and hexahedral meshes},
  author={Kim Jie Koh and Deepesh Toshniwal and Fehmi Cirak},

Solving Biharmonic Equations with Tri-Cubic C1 Splines on Unstructured Hex Meshes

Unstructured hex meshes are partitions of three spaces into boxes that can include irregular edges, where n≠4 boxes meet along an edge, and irregular points, where the box arrangement is not

Quadrature-free immersed isogeometric analysis

A newly developed technique for the evaluation of polynomial integrals over spline boundary representations that is exclusively based on analytical computations for solving partial differential equations on three-dimensional CAD geometries by means of immersed isogeometric discretizations that do not require quadrature schemes.



Quadratic splines on quad-tri meshes: Construction and an application to simulations on watertight reconstructions of trimmed surfaces

  • D. Toshniwal
  • Computer Science
    Computer Methods in Applied Mechanics and Engineering
  • 2022

LoopyCuts: practical feature-preserving block decomposition for strongly hex-dominant meshing

LoopyCuts generates a sequence of field-aware cutting loops and uses these loops to generate solid cuts through the object, decomposing the model into a metamesh consisting of hex, prism and other simple blocks, which it converts into a hex-mesh via midpoint refinement.


We present a new fully automatic block-decomposition algorithm for feature-preserving, strongly hex-dominant meshing, that yields results with a drastically larger percentage of hex elements than

Octahedral Frames for Feature-Aligned Cross Fields

This work presents a method for designing smooth cross fields on surfaces that automatically align to sharp features of an underlying geometry and provides theoretical analysis of these energies in the smooth setting, showing that they penalize deviations from surface creases while otherwise promoting intrinsically smooth fields.

Tuned hybrid nonuniform subdivision surfaces with optimal convergence rates

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

Mollified finite element approximants of arbitrary order and smoothness