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

Khripunova Balci, Anna; Kaltenbach, Alex

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

Khripunova Balci A, Kaltenbach A (2024)
IMA Journal of Numerical Analysis : 28.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch

Download

Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!

URL

https://arxiv.org/pdf/2303.10687.pdf

DOI

https://doi.org/10.1093/imanum/drae025

Autor*in

Khripunova Balci, Anna^UniBi ; Kaltenbach, Alex

Einrichtung

Fakultät für Mathematik

Abstract / Bemerkung

In the present paper, we examine a Crouzeix–Raviart approximation of the -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 Hölder continuous exponents and are optimal for Lipschitz continuous exponents. Numerical experiments are carried out to review the theoretical findings.

Erscheinungsjahr

2024

Zeitschriftentitel

IMA Journal of Numerical Analysis

Seite(n)

ISSN

0272-4979

eISSN

1464-3642

Page URI

https://pub.uni-bielefeld.de/record/2983957

Zitieren

Khripunova Balci A, Kaltenbach A. Error analysis for a Crouzeix–Raviart approximation of the variable exponent Dirichlet problem. IMA Journal of Numerical Analysis . 2024:28.

Khripunova Balci, A., & Kaltenbach, A. (2024). Error analysis for a Crouzeix–Raviart approximation of the variable exponent Dirichlet problem. IMA Journal of Numerical Analysis , 28. https://doi.org/10.1093/imanum/drae025

Khripunova Balci, Anna, and Kaltenbach, Alex. 2024. “Error analysis for a Crouzeix–Raviart approximation of the variable exponent Dirichlet problem”. IMA Journal of Numerical Analysis , 28.

Khripunova Balci, A., and Kaltenbach, A. (2024). Error analysis for a Crouzeix–Raviart approximation of the variable exponent Dirichlet problem. IMA Journal of Numerical Analysis , 28.

Khripunova Balci, A., & Kaltenbach, A., 2024. Error analysis for a Crouzeix–Raviart approximation of the variable exponent Dirichlet problem. IMA Journal of Numerical Analysis , , p 28.

A. Khripunova Balci and A. Kaltenbach, “Error analysis for a Crouzeix–Raviart approximation of the variable exponent Dirichlet problem”, IMA Journal of Numerical Analysis , 2024, pp. 28.

Khripunova Balci, A., Kaltenbach, A.: Error analysis for a Crouzeix–Raviart approximation of the variable exponent Dirichlet problem. IMA Journal of Numerical Analysis . 28 (2024).

Khripunova Balci, Anna, and Kaltenbach, Alex. “Error analysis for a Crouzeix–Raviart approximation of the variable exponent Dirichlet problem”. IMA Journal of Numerical Analysis (2024): 28.

Link(s) zu Volltext(en)

URL

https://arxiv.org/pdf/2303.10687.pdf

Access Level