Convergence of an AFEM for a non-local nonlinear problem of Kirchhoff type
In this article, plain convergence of an adaptive finite element method is shown for a non-local problem of Kirchhoff type under the same assumptions on the data as in the paper of T. Gudi (2012) [21] . Then by imposing some additional assumptions on the data, convergence and quasi-optimality of an AFEM is proved for the Kirchhoff type problem. The theoretical results are illustrated by some numerical experiments.
Authors
- Thirupathi Gudi (ORCID: https://orcid.org/0000-0003-2093-1382)
- A. Pal (ORCID: https://orcid.org/0000-0001-6806-5431)
Publication Details
- Journal
- Computers & Mathematics with Applications
- Published
- 2025-04-28
- DOI
- https://doi.org/10.1016/j.camwa.2025.04.020
- Primary Topic
- Advanced Numerical Methods in Computational Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 0.00