Domain decomposition preconditioners for elliptic problems in two and three dimensions

Conference · Wed Jan 01 00:00:00 EST 1986

OSTI ID:7043790

Pasciak, J E

In this talk, we shall describe some techniques for developing domain decomposition preconditioners for elliptic boundary value problems in two and three dimensions. We consider the case where more than two subdomains meet at an interior point of the original domain; this allows a subdivision into an arbitrary number of subdomains without the deterioration of the iterative convergence rates for the resulting algorithm. We set up a general framework for the development of preconditioners by domain decomposition. As examples of the application of these techniques, we derive domain decomposition preconditioners for elliptic problems in two and three dimensions.

• Research Organization: Brookhaven National Lab., Upton, NY (USA)
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 7043790
• Report Number(s): BNL-38792; CONF-861189-1; ON: DE87002590
• Resource Relation: Conference: Numerical algorithms for modern parallel computer workshop, Minneapolis, MN, USA, 3 Nov 1986; Other Information: Portions of this document are illegible in microfiche products
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
DIFFERENTIAL EQUATIONS
NUMERICAL SOLUTION
BOUNDARY CONDITIONS
PARALLEL PROCESSING
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
EQUATIONS
PROGRAMMING
990200* - Mathematics & Computers