Adaptive mesh refinement strategies in isogeometric analysisA computational comparison
Adaptive mesh refinement strategies in isogeometric analysis
A computational comparison
Dokument öffnen (3.4MB)Datum der Veröffentlichung
05.2016Verlag / herausgebende Einrichtung
Institut für Numerische Simulation (INS)Verlagsort
BonnMetadaten
Zur Langanzeige
Zitierbarer Link (Handle URI) 
https://hdl.handle.net/20.500.11811/11854
Inhalt
We explain four variants of an adaptive finite element method with cubic splines and compare their performance in simple elliptic model problems. The methods in comparison are Truncated Hierarchical B-splines with two different refinement strategies, T-splines with the refinement strategy introduced by Scott et al. in 2012, and T-splines with an alternative refinement strategy introduced by some of the authors. In four examples, including singular and non-singular problems of linear elasticity and the Poisson problem, the H1-errors of the discrete solutions, the number of degrees of freedom as well as sparsity patterns and condition numbers of the discretized problem are compared.
Schlagwörter
Isogeometric analysis, adaptive mesh refinement, T-splines, Truncated hierarchical B-splines
Klassifikation (DDC)
510 Mathematik 518 Numerische AnalysisErstpublikation
https://ins.uni-bonn.de/publication/preprintsZugehörige Publikation(en)
https://doi.org/10.1016/j.cma.2016.07.029Reihe, Nummer
INS Preprints ; 1611Hennig, Paul; Kästner, Markus; Morgenstern, Philipp; Peterseim, Daniel: Adaptive mesh refinement strategies in isogeometric analysis : A computational comparison. In: INS Preprints, 1611.
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11854
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11854
@unpublished{handle:20.500.11811/11854,
author = {{Paul Hennig} and {Markus Kästner} and {Philipp Morgenstern} and {Daniel Peterseim}},
title = {Adaptive mesh refinement strategies in isogeometric analysis : A computational comparison},
publisher = {Institut für Numerische Simulation (INS)},
year = 2016,
month = may,
INS Preprints},
volume = 1611,
note = {We explain four variants of an adaptive finite element method with cubic splines and compare their performance in simple elliptic model problems. The methods in comparison are Truncated Hierarchical B-splines with two different refinement strategies, T-splines with the refinement strategy introduced by Scott et al. in 2012, and T-splines with an alternative refinement strategy introduced by some of the authors. In four examples, including singular and non-singular problems of linear elasticity and the Poisson problem, the H1-errors of the discrete solutions, the number of degrees of freedom as well as sparsity patterns and condition numbers of the discretized problem are compared.},
url = {https://hdl.handle.net/20.500.11811/11854}
}
author = {{Paul Hennig} and {Markus Kästner} and {Philipp Morgenstern} and {Daniel Peterseim}},
title = {Adaptive mesh refinement strategies in isogeometric analysis : A computational comparison},
publisher = {Institut für Numerische Simulation (INS)},
year = 2016,
month = may,
INS Preprints},
volume = 1611,
note = {We explain four variants of an adaptive finite element method with cubic splines and compare their performance in simple elliptic model problems. The methods in comparison are Truncated Hierarchical B-splines with two different refinement strategies, T-splines with the refinement strategy introduced by Scott et al. in 2012, and T-splines with an alternative refinement strategy introduced by some of the authors. In four examples, including singular and non-singular problems of linear elasticity and the Poisson problem, the H1-errors of the discrete solutions, the number of degrees of freedom as well as sparsity patterns and condition numbers of the discretized problem are compared.},
url = {https://hdl.handle.net/20.500.11811/11854}
}
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