Preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems

Journal Article · Fri Jan 01 00:00:00 EST 1988 · Math. Comput.; (United States)

DOI:https://doi.org/10.1090/S0025-5718-1988-0917816-8· OSTI ID:5458149

Bramble, J H; Pasciak, J E

This paper provides a preconditioned iterative technique for the solution of saddle point problems. These problems typically arise in the numerical approximation of partial differential equations by Lagrange multiplier techniques and/or mixed methods. The saddle point problem is reformulated as a symmetric positive definite system, which is then solved by conjugate gradient iteration. Applications to the equations of elasticity and Stokes are discussed and the results of numerical experiments are given.

• Research Organization: Wave Propagation Laboratory, Environmental Research Laboratories, National Oceanic and Atmospheric Administration, Boulder, Colorado 80303
• OSTI ID: 5458149
• Journal Information: Math. Comput.; (United States), Vol. 50:181
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
PARTIAL DIFFERENTIAL EQUATIONS
ITERATIVE METHODS
DIRICHLET PROBLEM
ELASTICITY
HILBERT SPACE
SADDLE-POINT METHOD
BANACH SPACE
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL SPACE
MECHANICAL PROPERTIES
SPACE
TENSILE PROPERTIES
990230* - Mathematics & Mathematical Models- (1987-1989)