Adaptive streamline diffusion finite element methods for stationary convection-diffusion problems

Journal Article · Fri Jan 01 04:00:00 EST 1993 · Mathematics of Computation; (United States)

DOI:https://doi.org/10.1090/S0025-5718-1993-1149289-9· OSTI ID:6877746

Eriksson, K; Johnson, C

Adaptive finite element methods for stationary convection-diffusion problems are designed and analyzed. The underlying discretization scheme is the Shock-capturing Streamline Diffusion method. The adaptive algorithms proposed are based on a posteriori error estimates for this method leading to reliable methods in the sense that the desired error control is guaranteed. A priori error estimates are used to show that the algorithms are efficient in a certain sense. 19 refs.

• OSTI ID: 6877746
• Journal Information: Mathematics of Computation; (United States), Journal Name: Mathematics of Computation; (United States) Vol. 60:201; ISSN 0025-5718; ISSN MCMPAF
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
CALCULATION METHODS
CONVECTION
DIFFERENTIAL EQUATIONS
DIFFUSION
ENERGY TRANSFER
EQUATIONS
EVALUATION
FINITE ELEMENT METHOD
FLUID FLOW
HEAT TRANSFER
INCOMPRESSIBLE FLOW
MASS TRANSFER
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS