We review the treatment of trimmed geometries in the context of design, data exchange, and
computational simulation. Such models are omnipresent in current engineering modeling …

We present a framework for geometric design and isogeometric analysis on unstructured
quadrilateral meshes. Acknowledging the differing requirements posed by design (eg, the …

Abstract Analysis-suitable T-splines (ASTS) including both extraordinary points and T-
junctions are used to solve Kirchhoff–Love shell problems. Extraordinary points are required …

We present an isogeometric method for Kirchhoff–Love shell analysis of shell structures with
geometries composed of multiple patches and which possibly possess extraordinary …

G-splines are a generalization of B-splines that deals with extraordinary points by imposing
G 1 constraints across their spoke edges, thus obtaining a continuous tangent plane …

We develop a multi-degree polar spline framework with applications to both geometric
modeling and isogeometric analysis. First, multi-degree splines are introduced as piecewise …

In the framework of cardiac electrophysiology for the human heart, we apply multipatch
NURBS-based Isogeometric Analysis for the space discretization of the Monodomain model …

Abstract Analysis-suitable T-splines (AST-splines) are a promising candidate to achieve a
seamless integration between the design and the analysis of thin-walled structures in …

The construction of high-quality parameterizations for complex domains remains a
significant challenge in isogeometric analysis. To address this issue, we propose a G 1 …

The construction of smooth surfaces of complex shapes is at the heart of computer-aided
design (CAD). Many different approaches generating C 1-smooth surfaces are available and …