Details
| Original language | English |
|---|---|
| Journal | Engineering with computers |
| Early online date | 2 Jul 2024 |
| Publication status | E-pub ahead of print - 2 Jul 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.
Keywords
- Adaptive mesh refinement, deal.II, Finite element method, Isogeometric analysis, T-splines
ASJC Scopus subject areas
- Computer Science(all)
- Software
- Mathematics(all)
- Modelling and Simulation
- Engineering(all)
- Computer Science(all)
- Computer Science Applications
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In: Engineering with computers, 02.07.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Deal.t
T2 - an implementation of multivariate analysis suitable T-splines within the deal.ii framework
AU - Beuchler, Sven
AU - Hiniborch, Robin
AU - Morgenstern, Philipp
N1 - Publisher Copyright: © The Author(s) 2024.
PY - 2024/7/2
Y1 - 2024/7/2
N2 - 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.
AB - 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.
KW - Adaptive mesh refinement
KW - deal.II
KW - Finite element method
KW - Isogeometric analysis
KW - T-splines
UR - http://www.scopus.com/inward/record.url?scp=85197401213&partnerID=8YFLogxK
U2 - 10.1007/s00366-024-02002-1
DO - 10.1007/s00366-024-02002-1
M3 - Article
AN - SCOPUS:85197401213
JO - Engineering with computers
JF - Engineering with computers
SN - 0177-0667
ER -