Dr. Alexander Linke
Chair for Scientific Computing
University of Kaiserslautern-Landau (RPTU)
Bldg/Geb 34, Paul-Ehrlich-Strasse
67663 Kaiserslautern, Germany
Office: 36-414
Phone: +49 (0)631 205 5643
Fax: +49 (0)631 205 3056
Email: alexander.linke@rptu.de
2025
Nicolas Gauger; Alexander Linke; Christian Merdon
Refined stability estimates for mixed problems by exploiting semi norm arguments Miscellaneous
arXiv, 2025.
@misc{nokey,
title = {Refined stability estimates for mixed problems by exploiting semi norm arguments},
author = {Nicolas Gauger and Alexander Linke and Christian Merdon},
url = {https://arxiv.org/abs/2506.11566},
year = {2025},
date = {2025-06-16},
urldate = {2025-06-16},
abstract = {Refined stability estimates are derived for classical mixed problems. The novel emphasis is on the importance of semi norms on data functionals, inspired by recent progress on pressure-robust discretizations for the incompressible Navier-Stokes equations. In fact, kernels of these semi norms are shown to be connected to physical regimes in applications and are related to some well-known consistency errors in classical discretizations of mixed problems. Consequently, significantly sharper stability estimates for solutions close to these physical regimes are obtained.},
howpublished = {arXiv},
keywords = {},
pubstate = {published},
tppubtype = {misc}
}
Refined stability estimates are derived for classical mixed problems. The novel emphasis is on the importance of semi norms on data functionals, inspired by recent progress on pressure-robust discretizations for the incompressible Navier-Stokes equations. In fact, kernels of these semi norms are shown to be connected to physical regimes in applications and are related to some well-known consistency errors in classical discretizations of mixed problems. Consequently, significantly sharper stability estimates for solutions close to these physical regimes are obtained.