On the existence, uniqueness, and finite element approximation of solutions of the equations of stationary, incompressible magnetohydrodynamics

Journal Article · Mon Apr 01 00:00:00 EST 1991 · Mathematics of Computation; (United States)

DOI:https://doi.org/10.1090/S0025-5718-1991-1066834-0· OSTI ID:5433578

Gunzburger, M D; Meir, A J; Peterson, J S

The authors consider the equations of stationary, incompressible magneto-hydrodynamics posed in a bounded domain in three dimensions and treat the full, coupled system of equations with inhomogeneous boundary conditions. Under certain conditions on the data, they show that the existence and uniqueness of the solution of a weak formulation of the equations can be guaranteed. They discuss a finite element discretization of the equations and prove an optimal estimate for the error of the approximate solution.

• OSTI ID: 5433578
• Journal Information: Mathematics of Computation; (United States), Vol. 56:194; ISSN 0025-5718
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
INCOMPRESSIBLE FLOW
FINITE ELEMENT METHOD
MAGNETOHYDRODYNAMICS
BOUNDARY CONDITIONS
EQUATIONS
ERRORS
LIQUID METALS
PROPULSION SYSTEMS
REACTORS
STEADY-STATE CONDITIONS
THERMONUCLEAR REACTORS
THREE-DIMENSIONAL CALCULATIONS
USES
ELEMENTS
FLUID FLOW
FLUID MECHANICS
FLUIDS
HYDRODYNAMICS
LIQUIDS
MECHANICS
METALS
NUMERICAL SOLUTION
665510* - Magnetohydrodynamics- (1992-)
990200 - Mathematics & Computers