A new perspective on the fictitious space lemma
Abstract
In the present contribution we propose a new proof of the so-called fictitious space lemma. For the proof, we exhibit an explicit expression for the inverse of additive Schwarz preconditioners in terms of Moore-Penrose pseudo inverse of the map associated to the decomposition over the subdomain partition.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2022
- DOI:
- 10.48550/arXiv.2207.03865
- arXiv:
- arXiv:2207.03865
- Bibcode:
- 2022arXiv220703865C
- Keywords:
-
- Mathematics - Numerical Analysis