Isogeometric analysis (IGA) brought superior accuracy to computations in both fluid and solid mechanics. The increased has been representing the problem geometry variables computed. Beyond using IGA basis functions space, with time a space–time (ST) context, we can have also motion of surfaces. Around core methods such as residual-based variational multiscale (VMS), ST-VMS arbitrary Lagrangian–...

The isogeometric analysis is increasingly used in various engineering problems. It is based on Non-Uniform Rational B-Splines (NURBS) basis function applied for the solution field approximation and the geometry description. One of the major concerns with this method is finding an efficient approach to impose essential boundary conditions, especially for inhomogeneous boundaries. The main contri...

This paper deals with an adaptive finite element method originally developed by Prof. Leszek Demkowicz for hierarchical basis functions. In this paper, we investigate the extension of the adaptive algorithm for isogeometric analysis performed with B-spline basis functions. We restrict ourselves to h-adaptivity, since the polynomial order of approximation must be fixed in the isogeometric case. ...