Discontinuous Galerkin methods with interior penalties on graded meshes for 2D singularly perturbed convection-diffusion problems

DOI10.1016/j.apnum.2016.09.004zbMath1353.65126OpenAlexW2520247178MaRDI QIDQ338519

Peng Zhu, Yubo Yang

Publication date: 7 November 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.09.004

zbMATH Keywords

convergenceerror estimatediscontinuous Galerkin methodsnumerical experimentsingularly perturbed convection-diffusion problemgraded meshessingularly perturbed problemsinterior penaltiesNIPG methodSIPG method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) 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)

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Dual reciprocity boundary node method for convection-diffusion problems ⋮ Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection – diffusion – reaction problems ⋮ Local discontinuous Galerkin method on graded meshes for a third‐order singularly perturbed problem ⋮ The streamline-diffusion finite element method on graded meshes for a convection-diffusion problem ⋮ A local discontinuous Galerkin method for the compressible Reynolds lubrication equation ⋮ Half boundary method for steady state convection-diffusion equations with different boundary conditions

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