An iterative substructuring mehtod for div-stable finite element approximations of the Oseen problem

Authors:
Affiliations:
Venue:
Computing
Year:
2001

Citing 4
Cited 1

Mixed and hybrid finite element methods

Mixed and hybrid finite element methods
Coercive domain decomposition algorithms for advection-diffusion equations and systems

Journal of Computational and Applied Mathematics
A non-overlapping domain decomposition method for the advection-diffusion problem

Computing
A nonoverlapping domain decomposition method for stabilized finite element approximations of the Oseen equations

Journal of Computational and Applied Mathematics

Application of domain decomposition methods to indoor air flow simulation

International Journal of Computer Mathematics - INNOVATIVE ALGORITHMS IN SCIENCE AND ENGINEERING

Quantified Score

Hi-index	0.01

Visualization

Abstract

We apply an iterative substructuring algorithm with conditions of Robin-Robin type to the discretized Oseen problem appearing as a linearized variant of the incompressible Navier-Stokes equations. Here we consider finite element approximations using velocity/pressure pairs which satisfy the Babu&sbreve;ka-Brezzi stability condition. After proving well-posedness and strong convergence of the method, we derive an a-posteriori error estimate which controls convergence of the discrete subdomain solutions to the global discrete solution by measuring the jumps of the velocities at the interface. Additionally we obtain information how to design a parameter of the Robin interface condition which essentially influences the convergence speed. Numerical experiments confirm the theoretical results and the applicability of the method.