Numerical approximation of variational problems with orthotropic growth

Khripunova Balci A, Diening L, Salgado AJ (2024)
Numerische Mathematik.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Abstract / Bemerkung
We consider the numerical approximation of variational problems with orthotropic growth, that is those where the integrand depends strongly on the coordinate directions with possibly different growth in each direction. Under realistic regularity assumptions we derive optimal error estimates. These estimates depend on the existence of an orthotropically stable interpolation operator. Over certain meshes we construct an orthotropically stable interpolant that is also a projection. Numerical experiments illustrate and explore the limits of our theory.
Stichworte
65N30; 35J60; 35J75; 35J70; 46E30; 46E35
Erscheinungsjahr
2024
Zeitschriftentitel
Numerische Mathematik
ISSN
0029-599X
eISSN
0945-3245
Page URI
https://pub.uni-bielefeld.de/record/2986005

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Khripunova Balci A, Diening L, Salgado AJ. Numerical approximation of variational problems with orthotropic growth. Numerische Mathematik. 2024.
Khripunova Balci, A., Diening, L., & Salgado, A. J. (2024). Numerical approximation of variational problems with orthotropic growth. Numerische Mathematik. https://doi.org/10.1007/s00211-024-01432-9
Khripunova Balci, Anna, Diening, Lars, and Salgado, Abner J. 2024. “Numerical approximation of variational problems with orthotropic growth”. Numerische Mathematik.
Khripunova Balci, A., Diening, L., and Salgado, A. J. (2024). Numerical approximation of variational problems with orthotropic growth. Numerische Mathematik.
Khripunova Balci, A., Diening, L., & Salgado, A.J., 2024. Numerical approximation of variational problems with orthotropic growth. Numerische Mathematik.
A. Khripunova Balci, L. Diening, and A.J. Salgado, “Numerical approximation of variational problems with orthotropic growth”, Numerische Mathematik, 2024.
Khripunova Balci, A., Diening, L., Salgado, A.J.: Numerical approximation of variational problems with orthotropic growth. Numerische Mathematik. (2024).
Khripunova Balci, Anna, Diening, Lars, and Salgado, Abner J. “Numerical approximation of variational problems with orthotropic growth”. Numerische Mathematik (2024).
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arXiv: 2312.15539

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