Quasi-optimal polytopal finite element methods for biharmonic equation
Numerical Analysis
2026-05-22 v1 Numerical Analysis
Abstract
This paper establishes quasi-optimal and lower-order error estimates for weak Galerkin, discontinuous Galerkin, and hybrid-high order finite element methods for the biharmonic equation under minimal regularity assumptions on general polytopal meshes. Furthermore, it is shown that the stabilization is an efficient contribution in a~posteriori error estimators.
Cite
@article{arxiv.2605.21764,
title = {Quasi-optimal polytopal finite element methods for biharmonic equation},
author = {Ngoc Tien Tran},
journal= {arXiv preprint arXiv:2605.21764},
year = {2026}
}