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.


Published in:
C. R. Math. Acad. Sci. Paris, 345, 10, 599-602
Year:
2007
Note:
The original publication is available at http://www.sciencedirect.com.
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 Record created 2007-10-05, last modified 2018-03-17

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