Weak and very weak solutions of the Laplace equation and the Stokes system with prescribed regularity
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.
Authors
- Serge Nicaise (ORCID: https://orcid.org/0000-0003-3673-3495)
- Thomas Apel (ORCID: https://orcid.org/0000-0003-3642-3956)
- Katharina Lorenz
Institutions
- Universität der Bundeswehr München (DE)
- Université Polytechnique Hauts-de-France (FR)
Publication Details
- Journal
- Examples and Counterexamples
- Published
- 2025-09-17
- DOI
- https://doi.org/10.1016/j.exco.2025.100198
- Primary Topic
- Navier-Stokes equation solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00