Results
Title

A conforming auxiliary space preconditioner for the mass conserving stress‐yielding method.

Authors

Kogler, Lukas; Lederer, Philip L.; Schöberl, Joachim

Abstract

Summary: We are studying the efficient solution of the system of linear equations stemming from the mass conserving stress‐yielding (MCS) discretization of the Stokes equations. We perform static condensation to arrive at a system for the pressure and velocity unknowns. An auxiliary space preconditioner for the positive definite velocity block makes use of efficient and scalable solvers for conforming Finite Element spaces of low order and is analyzed with emphasis placed on robustness in the polynomial degree of the discretization. Numerical experiments demonstrate the potential of this approach and the efficiency of the implementation.

Subjects

LINEAR equations; LINEAR systems; STOKES equations; VELOCITY; STOKES flow

Publication

Numerical Linear Algebra with Applications, 2023, Vol 30, Issue 5, p1

ISSN

1070-5325

Publication type

Academic Journal

DOI

10.1002/nla.2503