Error analysis for a Crouzeix–Raviart approximation of the variable exponent Dirichlet problem

Khripunova Balci A, Kaltenbach A (2023) .

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Autor*in
Khripunova Balci, AnnaUniBi ; Kaltenbach, Alex
Abstract / Bemerkung
In the present paper, we examine a Crouzeix–Raviart approximation of the p(·)-Dirichlet problem. We derive a medius error estimate, i.e., a best-approximation result, which holds for uniformly continuous exponents and implies a priori error estimates, which apply for H ̈older continuous exponents and are optimal for Lipschitz continuous exponents. Numerical experiments are carried out to review the theoretical findings
Erscheinungsjahr
2023
Seite(n)
28
Page URI
https://pub.uni-bielefeld.de/record/2983957

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Khripunova Balci A, Kaltenbach A. Error analysis for a Crouzeix–Raviart approximation of the variable exponent Dirichlet problem. 2023.
Khripunova Balci, A., & Kaltenbach, A. (2023). Error analysis for a Crouzeix–Raviart approximation of the variable exponent Dirichlet problem. https://doi.org/10.48550/arXiv.2303.10687
Khripunova Balci, Anna, and Kaltenbach, Alex. 2023. “Error analysis for a Crouzeix–Raviart approximation of the variable exponent Dirichlet problem”.
Khripunova Balci, A., and Kaltenbach, A. (2023). Error analysis for a Crouzeix–Raviart approximation of the variable exponent Dirichlet problem.
Khripunova Balci, A., & Kaltenbach, A., 2023. Error analysis for a Crouzeix–Raviart approximation of the variable exponent Dirichlet problem.
A. Khripunova Balci and A. Kaltenbach, “Error analysis for a Crouzeix–Raviart approximation of the variable exponent Dirichlet problem”, 2023.
Khripunova Balci, A., Kaltenbach, A.: Error analysis for a Crouzeix–Raviart approximation of the variable exponent Dirichlet problem. (2023).
Khripunova Balci, Anna, and Kaltenbach, Alex. “Error analysis for a Crouzeix–Raviart approximation of the variable exponent Dirichlet problem”. (2023).

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arXiv: 2303.10687

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