Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap

Khripunova Balci A, Ortner C, Storn J (2021)
arXiv:2106.06837.

Preprint | Englisch
 
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Abstract / Bemerkung
We investigate the convergence of the Crouzeix-Raviart finite element method for variational problems with non-autonomous integrands that exhibit non-standard growth conditions. While conforming schemes fail due to the Lavrentiev gap phenomenon, we prove that the solution of the Crouzeix-Raviart scheme converges to a global minimiser. Numerical experiments illustrate the performance of the scheme and give additional analytical insights.
Erscheinungsjahr
2021
Zeitschriftentitel
arXiv:2106.06837
Page URI
https://pub.uni-bielefeld.de/record/2955590

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Khripunova Balci A, Ortner C, Storn J. Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap. arXiv:2106.06837. 2021.
Khripunova Balci, A., Ortner, C., & Storn, J. (2021). Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap. arXiv:2106.06837
Khripunova Balci, A., Ortner, C., and Storn, J. (2021). Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap. arXiv:2106.06837.
Khripunova Balci, A., Ortner, C., & Storn, J., 2021. Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap. arXiv:2106.06837.
A. Khripunova Balci, C. Ortner, and J. Storn, “Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap”, arXiv:2106.06837, 2021.
Khripunova Balci, A., Ortner, C., Storn, J.: Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap. arXiv:2106.06837. (2021).
Khripunova Balci, Anna, Ortner, Christoph, and Storn, Johannes. “Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap”. arXiv:2106.06837 (2021).

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