Erratum: "Conservation properties for the Galerkin and stabilised forms of the advection-diffusion and incompressible Navier-Stokes equations" (Computer Methods in Applied Mechanics and Engineering (2005) vol. 194 (1141-1159) 10.1016/j.cma.2004.06.034);Conservation properties for the Galerkin and stabilised forms of the advection-diffusion and incompressible Navier-Stokes equations

Computer Methods in Applied Mechanics and Engineering

Volumn 194, Issue 9-11, 2005, Pages 1141-1159

  Hughes, Thomas J R ^a   Wells, Garth N ^b  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Advection diffusion equation; Conservation; Continuous Galerkin methods; Multiscale methods; Navier Stokes equations; Stabilised methods

Indexed keywords

DIFFUSION; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; NAVIER STOKES EQUATIONS;

ADVECTION-DIFFUSION; CONSERVATION PROPERTIES;

GALERKIN METHODS;

ADVECTION-DIFFUSION EQUATION; INCOMPRESSIBLE FLOW; NAVIER-STOKES EQUATIONS;

EID: 12344290459     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.04.005     Document Type: Erratum

References (16)

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3. T.J.R. Hughes G.R. Feijóo L. Mazzei J.-B. Quincy The variational multiscale method - a paradigm for computational mechanics Comput. Methods Appl. Mech. Engrg. 166 1998 3-24
4. T.J.R. Hughes L.P. Franca G.M Hulbert A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advection-diffusion equations Comput. Methods Appl. Mech. Engrg. 73 1989 173-189
5. A.N. Brooks T.J.R. Hughes Streamline upwind Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations Comput. Methods Appl. Mech. Engrg. 32 1-3 1982 199-259
6. F. Brezzi L.P. Franca A. Russo Further considerations on residual-free bubbles for advective-diffusive equations Comput. Methods Appl. Mech. Engrg. 166 1998 25-33
7. L.P. Franca S.L. Frey T.J.R. Hughes Stabilized finite-element methods: I. Application to the advection-diffusion model Comput. Methods Appl. Mech. Engrg. 95 1992 253-276
8. F. Shakib T.J.R. Hughes Z. Johan A new finite element formulation for computational fluid dynamics: X. The compressible Euler and Navier-Stokes equations Comput. Methods Appl. Mech. Engrg. 89 1991 141-219
9. R. Codina Comparison of some finite element methods for solving the diffusion-convection-reaction equation Comput. Methods Appl. Mech. Engrg. 156 1998 185-210
10. R. Codina On stabilized finite element methods for linear systems of convection-diffusion-reaction equations Comput. Methods Appl. Mech. Engrg. 188 2000 61-82
11. T.E. Tezduyar Computation of moving boundaries and interfaces and stabilization parameters Int. J. Numer. Methods Fluids 43 2003 555-575
12. F. Brezzi M. Fortin Mixed and Hybrid Finite Element Methods 1991 Springer-Verlag New York
13. C.A. Taylor T.J.R. Hughes C.K. Zarins Finite element modelling of blood flow in arteries Comput. Methods Appl. Mech. Engrg. 158 1998 155-196
14. Acusim Software. URL: Http://www.acusim.com/
15. B. Cockburn G. Kanschat D. Schotzau The local discontinuous Galerkin method for the Oseen equations Math. Comput. 73 246 2004 569-593
16. T.J.R. Hughes G. Engel L. Mazzei M.G. Larson The continuous Galerkin method is locally conservative J. Comput. Phys. 163 2000 467-488