The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders p ≥ 2
In this Note we prove that in one space dimension, the symmetric discontinuous Galerkin method for second order elliptic problems is stable for polynomial orders $p \ge 2$ without using any stabilization parameter. The method yields optimal convergence rates in both the broken energy norm and the $L^2$- norm and can be written in conservative form with fluxes independent of any stabilization parameter.
- URL: http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6X1B-4R5G8B3-3&_user=164550&_coverDate=11%2F15%2F2007&_alid=699267710&_rdoc=2&_fmt=summary&_orig=search&_cdi=7238&_sort=d&_docanchor=&view=c&_ct=2&_acct=C000013218&_version=1&_urlVersion=0&_userid=164550&md5=fdbb451b745dee2cae2b05681b394ccd
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Record created on 2007-10-05, modified on 2016-08-08