Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 3901-3928 |
| Seitenumfang | 28 |
| Fachzeitschrift | Engineering with computers |
| Jahrgang | 40 |
| Ausgabenummer | 6 |
| Frühes Online-Datum | 2 Juli 2024 |
| Publikationsstatus | Veröffentlicht - Dez. 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
- Informatik (insg.)
- Software
- Mathematik (insg.)
- Modellierung und Simulation
- Ingenieurwesen (insg.)
- Allgemeiner Maschinenbau
- Informatik (insg.)
- Angewandte Informatik
Zitieren
- Standard
- Harvard
- Apa
- Vancouver
- BibTex
- RIS
in: Engineering with computers, Jahrgang 40, Nr. 6, 12.2024, S. 3901-3928.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › 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 - 2024/12
Y1 - 2024/12
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
VL - 40
SP - 3901
EP - 3928
JO - Engineering with computers
JF - Engineering with computers
SN - 0177-0667
IS - 6
ER -