Development of Residual Distribution Schemes for the Discontinuous Galerkin Method: The Scalar Case with Linear Elements
Year: 2009
Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 376–390
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-CiCP-7737
Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 376–390
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15