Numerical approximation of variational problems with orthotropic growth
Khripunova Balci A, Diening L, Salgado AJ (2023)
arXiv:2312.15539.
Preprint | Englisch
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Autor*in
Einrichtung
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.
Erscheinungsjahr
2023
Zeitschriftentitel
arXiv:2312.15539
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. arXiv:2312.15539. 2023.
Khripunova Balci, A., Diening, L., & Salgado, A. J. (2023). Numerical approximation of variational problems with orthotropic growth. arXiv:2312.15539
Khripunova Balci, Anna, Diening, Lars, and Salgado, Abner J. 2023. “Numerical approximation of variational problems with orthotropic growth”. arXiv:2312.15539.
Khripunova Balci, A., Diening, L., and Salgado, A. J. (2023). Numerical approximation of variational problems with orthotropic growth. arXiv:2312.15539.
Khripunova Balci, A., Diening, L., & Salgado, A.J., 2023. Numerical approximation of variational problems with orthotropic growth. arXiv:2312.15539.
A. Khripunova Balci, L. Diening, and A.J. Salgado, “Numerical approximation of variational problems with orthotropic growth”, arXiv:2312.15539, 2023.
Khripunova Balci, A., Diening, L., Salgado, A.J.: Numerical approximation of variational problems with orthotropic growth. arXiv:2312.15539. (2023).
Khripunova Balci, Anna, Diening, Lars, and Salgado, Abner J. “Numerical approximation of variational problems with orthotropic growth”. arXiv:2312.15539 (2023).