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 …

“The authors are the originators of isogeometric analysis, are excellent scientists and good
educators. It is very original. There is no other book on this topic.”—René de Borst …

We explore T-splines, a generalization of NURBS enabling local refinement, as a basis for
isogeometric analysis. We review T-splines as a surface design methodology and then …

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 …

A Reissner–Mindlin shell formulation based on a degenerated solid is implemented for
NURBS-based isogeometric analysis. The performance of the approach is examined on a …

We couple collocated isogeometric boundary element methods and unstructured analysis-
suitable T-spline surfaces for linear elastostatic problems. We extend the definition of …

A new concept called analysis in computer aided design (AiCAD) is proposed for design-
through-analysis workflow. This concept uses non-uniform rational B-Splines (NURBS) …

We develop a local refinement algorithm for analysis-suitable T-splines which does not
produce excessive propagation of control points. We then demonstrate its use as an …

We develop finite element data structures for T‐splines based on Bézier extraction
generalizing our previous work for NURBS. As in traditional finite element analysis, the …

This paper shows that, for any given T-spline, the linear independence of its blending
functions can be determined by computing the nullity of the T-spline-to-NURBS transform …