Adaptive Mesh Refinement for Arbitrary Initial Triangulations
Diening L, Gehring L, Storn J (2025)
Foundations of Computational Mathematics .
Zeitschriftenaufsatz
| E-Veröff. vor dem Druck | Englisch
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Autor*in
Diening, LarsUniBi 
;
Gehring, Lukas;
Storn, Johannes
;
Gehring, Lukas;
Storn, JohannesEinrichtung
Abstract / Bemerkung
We introduce a simple initialization of the Maubach bisection routine for adaptive mesh refinement which applies to any conforming initial triangulation and terminates in linear time with respect to the number of initial vertices. We show that Maubach's routine with this initialization always terminates and generates meshes that preserve shape regularity and satisfy the closure estimate needed for optimal convergence of adaptive schemes. Our ansatz allows for the intrinsic use of existing implementations.
Stichworte
Bisection;
Closure estimate;
Newest vertex bisection;
AFEM;
Shape;
regularity
Erscheinungsjahr
2025
Zeitschriftentitel
Foundations of Computational Mathematics
ISSN
1615-3375
eISSN
1615-3383
Page URI
https://pub.uni-bielefeld.de/record/3002097
Zitieren
Diening L, Gehring L, Storn J. Adaptive Mesh Refinement for Arbitrary Initial Triangulations. Foundations of Computational Mathematics . 2025.
Diening, L., Gehring, L., & Storn, J. (2025). Adaptive Mesh Refinement for Arbitrary Initial Triangulations. Foundations of Computational Mathematics . https://doi.org/10.1007/s10208-025-09698-7
Diening, Lars, Gehring, Lukas, and Storn, Johannes. 2025. “Adaptive Mesh Refinement for Arbitrary Initial Triangulations”. Foundations of Computational Mathematics .
Diening, L., Gehring, L., and Storn, J. (2025). Adaptive Mesh Refinement for Arbitrary Initial Triangulations. Foundations of Computational Mathematics .
Diening, L., Gehring, L., & Storn, J., 2025. Adaptive Mesh Refinement for Arbitrary Initial Triangulations. Foundations of Computational Mathematics .
L. Diening, L. Gehring, and J. Storn, “Adaptive Mesh Refinement for Arbitrary Initial Triangulations”, Foundations of Computational Mathematics , 2025.
Diening, L., Gehring, L., Storn, J.: Adaptive Mesh Refinement for Arbitrary Initial Triangulations. Foundations of Computational Mathematics . (2025).
Diening, Lars, Gehring, Lukas, and Storn, Johannes. “Adaptive Mesh Refinement for Arbitrary Initial Triangulations”. Foundations of Computational Mathematics (2025).
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