A note on upwinding and anisotropic balancing dissipation in finite element approximations to convective diffusion problems

Keywords

Upwind scheme, Dissipation, Finite element method, Mathematics, Convection–diffusion equation

References

• An analysis of the petrov—galerkin finite element methodDavid F. Griffiths, Jens Lorenz — 1978
• Tensor viscosity method for convection in numerical fluid dynamicsJohn K. Dukowicz, John D. Ramshaw — 1979
• The finite element methodOgierd Cecil Zienkiewicz — 1977
• A simple scheme for developing ‘upwind’ finite elementsThomas J.R. Hughes — 1978
• An ‘upwind’ finite element scheme for two‐dimensional convective transport equationJ Heinrich, Peter S. Huyakorn, O. C. Zienkiewicz — 1977
• Finite element methods for second order differential equations with significant first derivativesI. Christie, David F. Griffiths, A. R. Mitchell — 1976

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• A generalized statement for advective-diffusive phenomena. Finiteelement model and applicationsHéctor Gómez, Ignasi Colominas, F. Navarrina — 2000
• Flujo de un fluido viscoso a la entrada/salida de una cavidad anular de longitud finitaCarlos A. Vionnet — 1996
• Finite element solution of the energy equation in lubricated contactsNoël Brunetière, Bernard Tournerie — 2005
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• MESHLESS LOCAL PETROV-GALERKIN (MLPG) METHOD FOR CONVECTION DIFFUSION PROBLEMSHsing‐An Lin, Satya N. Atluri — 2000
• Numerical modelling of river processes: flow and river bed deformationPablo Tassi — 2007
• Numerical investigation on flow and transport characteristics to improve long-term simulation of reservoir sedimentationTesfaye Kebede Gurmessa — 2007
• Subgrid scale stabilized finite elements for low speed flowsRicardo Javier Príncipe — 2008
• Estimates of flow resistance and eddy viscosity coefficients for 2D modelling on vegetated floodplainsCarlos A. Vionnet, Pablo Tassi, Juan Pedro Martín Vide — 2004
• Non-oscillatory continuous FEM for transport and shallow water flowsPablo Ortiz — 2012
• Use of Finite Element Methods in Frequency Domain AeroacousticsPreetham P. Rao, Philip J. Morris — 2006
• FINITE ELEMENT RESOLUTION OF CONVECTION–DIFFUSION EQUATIONS WITH INTERIOR AND BOUNDARY LAYERSF. Olmos, Francisco Chinesta, Rafael Torres — 1996
• Assessing maximum possible damage for contaminant release eventsFernando Camelli, Rainald Löhner — 2004
• COMPUTATION OF THE STABILIZATION PARAMETER FOR THE FINITE ELEMENT SOLUTION OF ADVECTIVE-DIFFUSIVE PROBLEMSEugenio Oñate, Julio García Espinosa, Sergio R. Idelsohn — 1997

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