Superconvergence of discontinuous Galerkin method with interior penalties for singularly perturbed two-point boundary-value problems

DOI10.1007/s10092-018-0297-9zbMath1405.65091OpenAlexW2903145611WikidataQ128857388 ScholiaQ128857388MaRDI QIDQ1713632

Srinivasan Natesan, Gautam B. Singh

Publication date: 25 January 2019

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-018-0297-9

zbMATH Keywords

superconvergencediscontinuous Galerkin finite element methodsingularly perturbed differential equationshishkin mesh

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) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (10)

Superconvergence error estimates of discontinuous Galerkin time stepping for singularly perturbed parabolic problems ⋮ Nonsymmetric interior penalty Galerkin method for nonlinear time-fractional integro-partial differential equations ⋮ Finite element analysis of singularly perturbed problems with discontinuous diffusion ⋮ Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection – diffusion – reaction problems ⋮ Supercloseness of the NIPG method for a singularly perturbed convection diffusion problem on Shishkin mesh ⋮ A uniformly convergent weak Galerkin finite element method on Shishkin mesh for 1d convection-diffusion problem ⋮ Superconvergence of discontinuous Galerkin method with interior penalties for singularly perturbed two-point boundary-value problems ⋮ Study of the NIPG method for two-parameter singular perturbation problems on several layer adapted grids ⋮ A unified study on superconvergence analysis of Galerkin FEM for singularly perturbed systems of multiscale nature ⋮ Superconvergence of a modified weak Galerkin method for singularly perturbed two-point elliptic boundary-value problems

Cites Work

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• Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional Hyperbolic Equations

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