Isogeometric analysis (IGA) represents a recently developed technology in computational
mechanics that offers the possibility of integrating methods for analysis and Computer Aided …

The finite cell method is an embedded domain method, which combines the fictitious domain
approach with higher-order finite elements, adaptive integration, and weak enforcement of …

In this study, a NURBS formulation based on the four-variable refined plate theory (RPT) for
free vibration, buckling and static bending analyses of multilayer functionally graded …

The construction of classical hierarchical B-splines can be suitably modified in order to
define locally supported basis functions that form a partition of unity. We will show that this …

We explore hierarchical refinement of NURBS as a basis for adaptive isogeometric and
immersed boundary analysis. We use the principle of B-spline subdivision to derive a local …

An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness
cracks in thin shell structures is developed. The discretization is based on Non-Uniform …

We present an isogeometric thin shell formulation for multi-patches based on rational
splines over hierarchical T-meshes (RHT-splines). Nitsche's method is employed to …

Adaptive local refinement is one of the key issues in isogeometric analysis. In this article we
present an adaptive local refinement technique for isogeometric analysis based on …

The concept of isogeometric analysis, where functions that are used to describe geometry in
CAD software are used to approximate the unknown fields in numerical simulations, has …

This paper presents a novel approach for isogeometric analysis of thin shells using
polynomial splines over hierarchical T-meshes (PHT-splines). The method exploits the …