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