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01.12.2018

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

verfasst von: Gautam Singh, Srinivasan Natesan

Erschienen in: Calcolo | Ausgabe 4/2018

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In this paper, superconvergence properties of the discontinuous Galerkin method for singularly perturbed two-point boundary-value problems of reaction–diffusion and convection–diffusion types are studied. By using piecewise polynomials of degree k on modified Shishkin mesh, superconvergence error bounds of \((N^{-1}\ln N)^{k+1}\) in the discrete energy norm are established, where N is the number of elements. Finally, the convergence result is verified numerically.

Vorheriger Artikel An efficient three-term conjugate gradient method for nonlinear monotone equations with convex constraints

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Titel: Superconvergence of discontinuous Galerkin method with interior penalties for singularly perturbed two-point boundary-value problems
verfasst von: Gautam Singh
Srinivasan Natesan
Publikationsdatum: 01.12.2018
Verlag: Springer International Publishing
Erschienen in: Calcolo / Ausgabe 4/2018
Print ISSN: 0008-0624
Elektronische ISSN: 1126-5434
DOI: https://doi.org/10.1007/s10092-018-0297-9

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

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