Deal.t: an implementation of multivariate analysis suitable T-splines within the deal.ii framework

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2024年7月2日

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Sven Beuchler,
Robin Hiniborch,
Philipp Morgenstern

摘要

We present a numerical framework for solving partial differential equations within an isogeometric context using T-splines in two and three space dimensions. Within this paper, we explain the data structures used for the implementation of deal.t (deal.II with T-splines) and main differences when using deal.t in contrast to deal.II. The authors present numerical experiments with error-based refinement (2D) and a priori refinement (3D) for scalar-valued problems. A full tutorial is given in the appendix. Since the new framework is based on deal.II, T-splines may be applied to various different PDEs.