The divergence-free finite element method (DFFEM) is a method to find an approximate solution of the Navier–Stokes equations in a divergence-free space. That is, the continuity equation is satisfied a priori. DFFEM eliminates the pressure from the calculations and significantly reduces the dimension of the system to be solved at each time step. For the… (More)

Numerical solution of Navier–Stokes problems by the dual variable method

C. Hall

SIAM J. Alg. Discrete Methods

1985

Highly Influential

4 Excerpts

Divergence-free basis for finite element schemes in hydrodynamics

K. Gustafson, R. Hartman

SIAM J. Numer. Anal

1983

Highly Influential

4 Excerpts

Finite element for incompressible flow, Math

D. F. Griffiths

Methods Appl. Sci

1979

Highly Influential

4 Excerpts

The construction of approximately divergence-free finite element

D. F. Griffiths

in: The Mathematics of Finite Element and its…

1979

Highly Influential

7 Excerpts

Construction of null bases for the divergence operator associated with incompressible Navier–Stokes equations

C. Hall, X. Ye

J. Linear Algebra Appl

1992

1 Excerpt

Construction of divergence-free spaces for incompressible Navier–Stokes equations, Ph.D. dissertation, University of Pittsburgh, Pittsburgh, PA, and Technical Report

X. Ye

1990

1 Excerpt

Porsching, Numerical Analysis of Partial Differential Equations

T. C. Hall

1990

1 Excerpt

Time dependent viscous incompressible Navier–Stokes equations: the finite difference Galerkin formulations and stream function algorithms

J. W. Goodrich, W. Y. Soh

J. Comput. Phys

1988

2 Excerpts

Porsching, An unconditionally stable convergent finite difference method for Navier–Stokes problem on curved domains