Development of Residual Distribution Schemes for theDiscontinuousGalerkinMethod: The Scalar Case with Linear Elements
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چکیده
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. AMS subject classifications: 65N30, 65N99, 65M60, 65M99
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تاریخ انتشار 2008