A conforming auxiliary space preconditioner for the mass conserving stress-yielding method.
Numer Linear Algebra Appl
; 30(5): e2503, 2023 Oct.
Article
in En
| MEDLINE
| ID: mdl-38439917
ABSTRACT
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.
Full text:
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Collection:
01-internacional
Database:
MEDLINE
Language:
En
Journal:
Numer Linear Algebra Appl
Year:
2023
Type:
Article