# Stabilized Galerkin finite element methods for convection dominated and incompressible flow problems

Banach Center Publications (1994)

- Volume: 29, Issue: 1, page 85-104
- ISSN: 0137-6934

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topLube, Gert. "Stabilized Galerkin finite element methods for convection dominated and incompressible flow problems." Banach Center Publications 29.1 (1994): 85-104. <http://eudml.org/doc/262793>.

@article{Lube1994,

abstract = {In this paper, we analyze a class of stabilized finite element formulations used in computation of (i) second order elliptic boundary value problems (diffusion-convection-reaction model) and (ii) the Navier-Stokes problem (incompressible flow model). These stabilization techniques prevent numerical instabilities that might be generated by dominant convection/reaction terms in (i), (ii) or by inappropriate combinations of velocity/pressure interpolation functions in (ii). Stability and convergence results on non-uniform meshes are given in the whole range from diffusion to convection/reaction dominated situations. In particular, we recover results for the streamline upwind and Galerkin/least-squares methods. Numerical results are presented for low order interpolation functions.},

author = {Lube, Gert},

journal = {Banach Center Publications},

keywords = {diffusion-convection-reaction model; streamline upwind methods; elliptic boundary value problems; velocity/pressure interpolation functions; convergence; non-uniform meshes},

language = {eng},

number = {1},

pages = {85-104},

title = {Stabilized Galerkin finite element methods for convection dominated and incompressible flow problems},

url = {http://eudml.org/doc/262793},

volume = {29},

year = {1994},

}

TY - JOUR

AU - Lube, Gert

TI - Stabilized Galerkin finite element methods for convection dominated and incompressible flow problems

JO - Banach Center Publications

PY - 1994

VL - 29

IS - 1

SP - 85

EP - 104

AB - In this paper, we analyze a class of stabilized finite element formulations used in computation of (i) second order elliptic boundary value problems (diffusion-convection-reaction model) and (ii) the Navier-Stokes problem (incompressible flow model). These stabilization techniques prevent numerical instabilities that might be generated by dominant convection/reaction terms in (i), (ii) or by inappropriate combinations of velocity/pressure interpolation functions in (ii). Stability and convergence results on non-uniform meshes are given in the whole range from diffusion to convection/reaction dominated situations. In particular, we recover results for the streamline upwind and Galerkin/least-squares methods. Numerical results are presented for low order interpolation functions.

LA - eng

KW - diffusion-convection-reaction model; streamline upwind methods; elliptic boundary value problems; velocity/pressure interpolation functions; convergence; non-uniform meshes

UR - http://eudml.org/doc/262793

ER -

## References

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