Truncated hierarchical tricubic C0 spline construction on unstructured hexahedral meshes for isogeometric analysis applications

Smooth spline spaces on unstructured quadrilateral meshes for isogeometric analysis

Micro Abstract We present a framework for isogeometric analysis on unstructured quadrilateral meshes. Acknowledging the differing requirements posed by design and analysis, we propose the construction of a separate, smooth spline space for each, while ensuring isogeometric compatibility. A key ingredient in the approach is the use of singular parameterizations at extraordinary vertices. We demo...

Constructing B-spline solids from tetrahedral meshes for isogeometric analysis

Article history: Available online 20 March 2015

Validating and generating curved unstructured hexahedral meshes

We present a new definition of distortion and quality measures for high-order hexahedral (quadrilateral) elements. This definition leads to two direct applications. First, it can be used to check the validity and quality [1] of a high-order hexahedral (quadrilateral) mesh. Second, it allows the generation of high-order curved meshes [2, 3, 4, 5] composed of valid and high-quality hexahedral (qu...

Hierarchical Basis for the Convection-Diffusion Equation on Unstructured Meshes

Hierarchical Basis for the Convection-Diffusion Equation on Unstructured Meshes