A posteriori error estimates for a modified Morley FEM
Numerical Analysis
2026-02-17 v1 Numerical Analysis
Abstract
Residual-based a~posteriori error estimators are derived for the modified Morley FEM, proposed by Wang, Xu, Hu [J. Comput. Math, 24(2), 2006], for the singularly perturbed biharmonic equation and the nonlinear von K\'arm\'an equations. The error estimators are proven to be reliable and efficient. Moreover, an adaptive algorithm driven by these error estimators is investigated in numerical experiments.
Keywords
Cite
@article{arxiv.2602.14912,
title = {A posteriori error estimates for a modified Morley FEM},
author = {A. K. Dond and D. Gallistl and S. Nayak and M. Schedensack},
journal= {arXiv preprint arXiv:2602.14912},
year = {2026}
}