Pal, Arnab ; Gudi, Thirupathi (2025) Convergence of an AFEM for a non-local nonlinear problem of Kirchhoff type Computers & Mathematics with Applications, 189 . pp. 176-193. ISSN 0898-1221
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Official URL: https://doi.org/10.1016/j.camwa.2025.04.020
Related URL: http://dx.doi.org/10.1016/j.camwa.2025.04.020
Abstract
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 141601 |
| Deposited On: | 02 Dec 2025 07:39 |
| Last Modified: | 02 Dec 2025 07:39 |
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