Weak and very weak solutions of the Laplace equation and the Stokes system with prescribed regularity
Numerical Analysis
2025-03-10 v1 Numerical Analysis
Analysis of PDEs
Abstract
To verify theoretical results it is sometimes important to use a numerical example where the solution has a particular regularity. The paper describes one approach to construct such examples. It is based on the regularity theory for elliptic boundary value problems.
Keywords
Cite
@article{arxiv.2503.05437,
title = {Weak and very weak solutions of the Laplace equation and the Stokes system with prescribed regularity},
author = {Thomas Apel and Katharina Lorenz and Serge Nicaise},
journal= {arXiv preprint arXiv:2503.05437},
year = {2025}
}
Comments
8 pages, 1 figure; submitted to Examples and Counterexamples