Analysis of the cell boundary element methods for convection dominated convection-diffusion equations

DOI10.1016/j.cam.2010.03.014zbMath1193.65205OpenAlexW1989284508MaRDI QIDQ977427

Youngmok Jeon

Publication date: 22 June 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.03.014

zbMATH Keywords

stabilityconvergenceboundary layersconvection-diffusion equationsinterior layerscell boundary element methodsexact bubble functioninexact bubble functions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

A Local Meshless Method for Steady State Convection Dominated Flows ⋮ Hybridized SUPG and upwind numerical schemes for convection dominated diffusion problems

Cites Work

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• Nonconforming cell boundary element methods for elliptic problems on triangular mesh
• On the choice of the SUPG parameter at outflow boundary layers
• Finite element methods for convection-diffusion problems using exponential splines on triangles
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Further considerations on residual-free bubbles for advective-diffusive equations
• \(b=\int g\)
• Solving convection-dominated anisotropic diffusion equations by an exponentially fitted finite volume method.
• Analysis of a cell boundary element method
• On the choice of a stabilizing subgrid for convection-diffusion problems
• Streamline-upwind Petrov/Galerkin method (SUPG) vs residual-free bubbles (RFB)
• Cell boundary element methods for convection-diffusion equations
• A Priori Error Analysis of Residual-Free Bubbles for Advection-Diffusion Problems
• CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS

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