On the choice of the SUPG parameter at outflow boundary layers

DOI10.1007/s10444-008-9075-6zbMath1183.65144OpenAlexW1968593095MaRDI QIDQ1047131

Knobloch, Petr

Publication date: 4 January 2010

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-008-9075-6

zbMATH Keywords

numerical resultssingular perturbationstabilizationboundary layersspurious oscillationssteady scalar convection-diffusion equationsstreamline upwind/Petrov-Galerkin finite element method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (9)

A two-level variational multiscale meshless local Petrov-Galerkin (VMS-MLPG) method for convection-diffusion problems with large Peclet number ⋮ A Local Meshless Method for Steady State Convection Dominated Flows ⋮ The upwind hybrid difference methods for a convection diffusion equation ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Hybridized discontinuous Galerkin method for convection-diffusion problems ⋮ Artificial neural network-augmented stabilized finite element method ⋮ Robust numerical methods for singularly perturbed differential equations: a survey covering 2008-2012 ⋮ Hybridized SUPG and upwind numerical schemes for convection dominated diffusion problems ⋮ Analysis of the cell boundary element methods for convection dominated convection-diffusion equations

Cites Work

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• Linear enhancements of the streamline diffusion method for convection-diffusion problems
• Weak imposition of Dirichlet boundary conditions in fluid mechanics
• On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Improvements of the Mizukami-Hughes method for convection-diffusion equations
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Finite element methods for second order differential equations with significant first derivatives

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