Local Discontinuous Galerkin Method with Reduced Stabilization for Diffusion Equations

Local Discontinuous Galerkin Method with Reduced Stabilization for Diffusion Equations

Year:    2009

Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 498–514

Abstract

We extend the results on minimal stabilization of Burmanand Stamm [J. Sci. Comp., 33 (2007), pp. 183-208] to the case of the local discontinuous Galerkin methods on mixed form. The penalization term on the faces is relaxed to act only on a part of the polynomial spectrum. Stability in the form of a discrete inf-sup condition is proved and optimal convergence follows. Some numerical examples using high order approximation spaces illustrate the theory. 

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-CiCP-7746

Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 498–514

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords: