×

zbMATH — the first resource for mathematics

A domain decomposition method for elliptic boundary value problems: Application to unsteady incompressible fluid flow. (English) Zbl 0767.76056
Domain decomposition methods for partial differential equations, Proc. 5th Int. SIAM Symp., Norfolk/VA (USA) 1991, 545-557 (1992).
[For the entire collection see Zbl 0758.00015.]
We propose a new pressure solver with the following key ingredients: domain decomposition; a global coarse system to take care of long-range interactions (solved directly); a global fine system to solve for the difference between the final solution and the coarse “skeleton” solution (solved iteratively); a local decoupled preconditioning system (solved directly for each subdomain). Numerical results suggest that the number of iterations is independent of the number of subdomains.

MSC:
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76D05 Navier-Stokes equations for incompressible viscous fluids
76D07 Stokes and related (Oseen, etc.) flows
65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs
PDF BibTeX XML Cite