scientific article; zbMATH DE number 6168586

zbMath1290.65068MaRDI QIDQ4924043

Zhimin Zhang, Hui-Qing Zhu

Publication date: 30 May 2013

Full work available at URL: http://www.math.ualberta.ca/ijnam/Volume10-1.htm

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

singular perturbationnumerical examplesboundary layerconvection-diffusion equationslocal error estimatelocal discontinuous Galerkin method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

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Local analysis of the local discontinuous Galerkin method with generalized alternating numerical flux for one-dimensional singularly perturbed problem ⋮ Local discontinuous Galerkin method for a singularly perturbed fourth-order problem of reaction-diffusion type ⋮ An improved pointwise error estimate of the LDG method for 1-d singularly perturbed reaction-diffusion problem ⋮ Local discontinuous Galerkin method for time-dependent singularly perturbed semilinear reaction-diffusion problems ⋮ A cubic subdomain Galerkin method over the geometrically graded mesh to the singularly perturbed problem ⋮ Analysis of generalised alternating local discontinuous Galerkin method on layer-adapted mesh for singularly perturbed problems ⋮ Optimal maximum-norm estimate of the LDG method for singularly perturbed convection-diffusion problem ⋮ Local analysis of local discontinuous Galerkin method for the time-dependent singularly perturbed problem ⋮ Pressure recovery for weakly over-penalized discontinuous Galerkin methods for the Stokes problem

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