Spectral analysis of the stiffness matrix sequence in the approximated Stokes equation
Numerical Analysis
2026-04-22 v2 Numerical Analysis
Abstract
In the present paper, we analyze in detail the spectral features of the matrix sequences arising from the Taylor-Hood - approximation of variable viscosity for Stokes problem under weak assumptions on the regularity of the diffusion. Localization and distributional spectral results are provided, accompanied by numerical tests and visualizations. A preliminary study of the impact of our findings on the preconditioning problem is also presented. A final section with concluding remarks and open problems ends the current work.
Cite
@article{arxiv.2510.25252,
title = {Spectral analysis of the stiffness matrix sequence in the approximated Stokes equation},
author = {Samuele Ferri and Chiara Giraudo and Valerio Loi and Miroslav Kuchta and Stefano Serra-Capizzano},
journal= {arXiv preprint arXiv:2510.25252},
year = {2026}
}