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arXiv · 2510.00354

A posteriori error estimation for weak Galerkin method of the fourth-order singularly perturbed problem

Shicheng Liu·Qilong Zhai
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Abstract

In this paper, we present a posteriori error estimation for weak Galerkin method applied to fourth order singularly perturbed problem. The weak Galerkin discretization space and numerical scheme are first described. A fully computable residual type error estimator is then constructed. Both the reliability and efficiency of the proposed estimator are rigorously demonstrated. Numerical experiments are provided to validate the theoretical findings.

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Shicheng Liu, Qilong Zhai. 2025-09-30. A posteriori error estimation for weak Galerkin method of the fourth-order singularly perturbed problem. https://arxiv.org/abs/2510.00354

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