Superconvergence Properties of Discontinuous Galerkin Methods for Two-Point Boundary Value Problems

Superconvergence Properties of Discontinuous Galerkin Methods for Two-Point Boundary Value Problems

Year:    2006

Author:    Hongsen Chen

International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 2 : pp. 163–185

Abstract

Three discontinuous Galerkin methods (SIPG, NIPG, DG) are considered for solving a one-dimensional elliptic problem. Superconvergence for the error at the interior node points and the derivative of the error at Gauss points are considered. All theoretical results obtained in the paper are supported by the results of numerical experiments.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2006-IJNAM-895

International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 2 : pp. 163–185

Published online:    2006-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    23

Keywords:    discontinuous Galerkin methods superconvergence 1D problem.

Author Details

Hongsen Chen