Space‐Time Isogeometric Analysis of Parabolic Diffusion Problems in Moving Spatial Domains

Abstract

This paper addresses locally stabilized space-time isogeometric (IgA) schemes for parabolic diffusion problems in moving spatial domains. It generalizes the results of our preceding works for problems in fixed spatial domains. We present functional a posteriori error estimates and study adaptive numerical procedures based on them and on truncated hierarchical B-splines.