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

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Sven Beuchler
  • Robin Hiniborch
  • Philipp Morgenstern

Organisationseinheiten

Externe Organisationen

  • Hannover Rück SE
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Details

OriginalspracheEnglisch
FachzeitschriftEngineering with computers
Frühes Online-Datum2 Juli 2024
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 2 Juli 2024

Abstract

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.

ASJC Scopus Sachgebiete

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Deal.t: an implementation of multivariate analysis suitable T-splines within the deal.ii framework. / Beuchler, Sven; Hiniborch, Robin; Morgenstern, Philipp.
in: Engineering with computers, 02.07.2024.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Beuchler S, Hiniborch R, Morgenstern P. Deal.t: an implementation of multivariate analysis suitable T-splines within the deal.ii framework. Engineering with computers. 2024 Jul 2. Epub 2024 Jul 2. doi: 10.1007/s00366-024-02002-1
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