Constructing an analysis-suitable parameterization for the computational domain from its
boundary representation plays a crucial role in the isogeometric design-through-analysis …

Constructing spline parameterizations for computational domains is one of the fundamental
problems in isogeometric analysis. In this paper, we present an efficient method for …

Parameterization of computational domains is a crucial step in isogeometric analysis (IGA).
Non-Uniform Rational B-Spline (NURBS) is a standard tool in the CAD/CAM industry due to …

Constructing a high-quality parameterization of a computational domain is a fundamental
research problem in isogeometric analysis, which has been extensively investigated so far …

The generation of structured grids on bounded domains is a crucial issue in the
development of numerical models for solving differential problems. In particular, the …

Hierarchical B-splines that allow local refinement have become a promising tool for
developing adaptive isogeometric methods. Unfortunately, similar to tensor-product B …

Toric surface patches are a class of multi-sided surface patches that can represent multi-
sided domains without mesh degeneration. In this paper, we propose an improved …

This paper presents a PDE-based parameterisation framework for addressing the planar
surface-to-volume (StV) problem of finding a valid description of the domain's interior given …

We present an algorithm to build a ready to use isogeometric model from scan data gained
by a μ-CT scan. Based on a three-dimensional multi-patch reference geometry, which …

We study the numerical solution for higher order partial differential equations defined on
implicit domains. We represent isogeometric analysis on implicit domains and construct …