This paper reviews the state of the art and discusses recent developments in the field of
adaptive isogeometric analysis, with special focus on the mathematical theory. This includes …

The macroscopic behavior of complex heterogeneous materials is governed by the
interactions between their constituents at the microstructural scale. This has fostered a large …

The lack of a compelling tool to automatically or semi-automatically create analysis-suitable
spline spaces hampers the progress of the isogeometric framework. In this work, we review …

In order to perform isogeometric analysis with increased smoothness on complex domains,
trimming, variational coupling or unstructured spline methods can be used. The latter two …

This work focuses on the study of several computational challenges arising when trimmed
surfaces are directly employed for the isogeometric analysis of Kirchhoff–Love shells. To …

Penalty methods have proven to be particularly effective for achieving the required C 1-
continuity in the context of multi-patch isogeometric Kirchhoff–Love shells. Due to their …

This paper presents the application of triangle configuration B-splines (TCB-splines) for
representing and analyzing the Kirchhoff–Love shell in the context of isogeometric analysis …

We propose an adaptive mesh refinement strategy for immersed isogeometric analysis, with
application to steady heat conduction and viscous flow problems. The proposed strategy is …

This work presents an efficient quadrature rule for shell analysis fully integrated in CAD by
means of Isogeometric Analysis (IGA). General CAD-models may consist of trimmed parts …

Hierarchical B-splines, which possess the local refinement capability, have been recognized
as a useful tool in the context of isogeometric analysis. However, similar as for tensor …