TY - JOUR
T1 - Development of Residual Distribution Schemes for the Discontinuous Galerkin Method: The Scalar Case with Linear Elements
AU - Rémi Abgrall & Chi-Wang Shu
JO - Communications in Computational Physics
VL - 2-4
SP - 376
EP - 390
PY - 2009
DA - 2009/02
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7737.html
KW - 
AB - <p style="text-align: justify;">In this paper, we reformulate the piecewise linear discontinuous Galerkin (DG) method for solving two dimensional steady state scalar conservation laws in the framework of residual distribution (RD) schemes. This allows us to propose a new class of nonlinear stabilization that does not destroy the formal accuracy of the schemes. Numerical results are shown to demonstrate the behavior of this approach.&nbsp;</p>