A consistent approximate upwind Petrov—Galerkin method for convection-dominated problems

Keywords

Upwind scheme, Petrov–Galerkin method, Mathematics, Advection, Galerkin method

References

• Finite element methods for linear hyperbolic problemsClaes Johnson, Uno Nävert, Juhani Pitkäranta — 1984
• A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle☆Akira Mizukami, Thomas J.R. Hughes — 1985
• Recent advances in computational methods for steady and transient transport problemsJ. Donéa — 1984
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equationsA. Brooks, Thomas J.R. Hughes — 1990
• A new finite element formulation for computational fluid dynamics: II. Beyond SUPGThomas J.R. Hughes, Michel Mallet, Akira Mizukami — 1986
• Quadratic finite element schemes for two-dimensional convective-transport problemsJ Heinrich, O. C. Zienkiewicz — 1977
• 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
• A theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions: application to the streamline-upwind procedure.Thomas J.R. Hughes, A. Brooks — 1982

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• Contaminant Migration in Imperfectly Known Heterogeneous Groundwater SystemsE. A. Sudicky, Peter S. Huyakorn — 1991
• The numerical analysis of higher-order nonlinear FE method for advection dominated problemsSandra M. C. Malta, Regina C. Almeida — 2007
• Une méthode d'éléments finis pour les écoulements internes compressibles: Application aux éjecteursAli Rebaine, Azzeddine Soulaïmani, Y. Mercadier — 1997
• Projeto de dispositivos de microcanais utilizando o método de otimização topológica.Adriano Akio Koga — 2010
• Stabilized numerical solutions of three-phase porous media flow using a multiscale finite element formulationRubén Juanes, Tadeusz W. Patzek — 2003
• Multiscale-stabilized solutions to one-dimensional systems of conservation lawsRuben Juanes, Tadeusz W. Patzek — 2003
• Stabilized finite element methods for convection-diffusion-reaction, helmholtz and stokes problemsPrashanth Nadukandi — 2011
• SPACE-TIME FINITE ELEMENT FORMULATION FOR SHALLOW WATER EQUATIONS WITH SHOCK-CAPTURING OPERATORRigoberto Gregório Sanabria Castro — 2014
• Development of a Two-Dimensional Finite Element Plasma Edge ModelRoger Alan Vesey — 1992
• Numerical investigation of inertia and shear-thinning effects in axisymmetric flows of carreau fluids by a galerkin least-squares methodR. R. Martins, Filipe S. Silveira, Maria Laura Martins‐Costa — 2008
• An accurate FIC-FEM formulation for the 1D advection–diffusion–reaction equationEugenio Oñate, Juan Carlos Miquel, Prashanth Nadukandi — 2016
• Space-Time accurate anisotropic adaptation and stabilized finite element methods for the resolution of unsteady CFD problemsGhina Jannoun — 2014
• A new stabilized finite element formulation for scalar convection–diffusion problems: the streamline and approximate upwind/Petrov–Galerkin methodEduardo Gomes Dutra do Carmo, Gustavo Benitez Alvarez — 2003
• A finite element formulation for the hydrodynamic semiconductor device equationsN. R. Aluru, A. Raefsky, Peter M. Pinsky — 1993
• Analysis of water waves due to landslides by stabilized finite element methodHiroyuki YOSHIMATSU, Masaaki SAKURABA — 2002
• A stabilized finite element method for incompressible viscous flows using a finite increment calculus formulationEugenio Oñate — 2000
• On spurious oscillations at layers diminishing (SOLD) methods for convection–diffusion equations: Part II – Analysis for P1 and Q1 finite elementsVolker John, Petr Knobloch — 2008
• Petrov-Galerkin finite element analysis for advancing flow front in reaction injection moldingNitin R. Anturkar — 1995
• Cálculo de la función distancia para el método Level Set usando la formulación estabilizada USFEM/RotheCarlos A. A. Carbonel H., Álvaro L. G. A. Coutinho — 2013

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