Year: 2025
Type: article
Abstract: In this paper, we discusses the finite element approximation for a Steklov eigenvalue problem. Based on the work of Armentano and Padra, we derive an a posteriori error estimate. By constructing auxiliary bubble functions and lifting operators, we prove the reliability and validity of the posterior error estimator. In addition, we verify the robustness of the posterior error estimator under the adaptive grid through numerical experiments.
Authors: Mei Yu Mei Yu, Qingsong Yang Qingsong Yang, Jianlin Lu Jianlin Lu
Institution: Guizhou Normal University
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4410176603