Two domain decomposition techniques for Stokes problems

Technical Report · Thu Dec 31 23:00:00 EST 1987

OSTI ID:5221368

Pasciak, J E

I will develop two domain decomposition techniques for Stokes problems in this talk. The first uses a reformulation of the saddle point system and reduces the derivation of domain decomposition algorithms for Stokes to the definition of domain decomposition preconditioners for second order problems. The second applies domain decomposition directly to Stokes and gives rise to a saddle point system for the velocity nodes on the subdomain boundaries and the mean values of the pressure on the subdomains. This system is solved iteatively.

• Research Organization: Brookhaven National Lab., Upton, NY (USA)
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 5221368
• Report Number(s): BNL-41113; ON: DE88008724
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
990230* -- Mathematics & Mathematical Models-- (1987-1989)
ALGORITHMS
BANACH SPACE
DIFFERENTIAL EQUATIONS
EQUATIONS
FINITE ELEMENT METHOD
HILBERT SPACE
MATHEMATICAL LOGIC
MATHEMATICAL SPACE
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SADDLE-POINT METHOD
SPACE