Stable Multiscale Discretizations for Saddle Point Problems and Preconditioning

verfasst von

Reinhard Hochmuth

Abstract

Stability for discretizations of saddle point problems is typically the result of satisfying the discrete Babuška-Brezzi condition. As a consequence a number of natural discretizations are ruled out and some effort is required to provide stable ones. Therefore ideas for circumventing the Babuška-Brezzi condition are interesting. Here an ansatz presented in a series of papers by Hughes et al. is described and investigated in the framework of multiscale discretizations. In particular discretizations for appending boundary conditions by Lagrange multipliers and the stationary Stokes problem are considered. Sufficient conditions for their stability are given and diagonal preconditioners which give uniformly bounded condition numbers are proposed.

Organisationseinheit(en)

Institut für Didaktik der Mathematik und Physik

Externe Organisation(en)

Freie Universität Berlin (FU Berlin)

Typ

Artikel

Journal

Numerical Functional Analysis and Optimization

Band

19

Seiten

789-806

Anzahl der Seiten

18

ISSN

0163-0563

Publikationsdatum

1998

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Analysis, Signalverarbeitung, Angewandte Informatik, Steuerung und Optimierung

Elektronische Version(en)

https://doi.org/10.1080/01630569808816859 (Zugang: Unbekannt)