کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4643131 | 1341368 | 2006 | 7 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A vertex-centered, dual discontinuous Galerkin method A vertex-centered, dual discontinuous Galerkin method](/preview/png/4643131.png)
This note introduces a new version of the discontinuous Galerkin method for discretizing first-order hyperbolic partial differential equations. The method uses piecewise polynomials that are continuous on a macroelement surrounding the nodes in the unstructured mesh but discontinuous between the macroelements. At lowest order, the method reduces to a vertex-centered finite-volume method with control volumes based on a dual mesh, and the method can be implemented using an edge-based data structure. The method provides therefore a strategy to extend existing vertex-centered finite-volume codes to higher order using the discontinuous Galerkin method. Preliminary tests on a model linear hyperbolic equation in two-dimensional indicate a favorable qualitative behavior for nonsmooth solutions and optimal convergence rates for smooth solutions.
Journal: Journal of Computational and Applied Mathematics - Volume 192, Issue 1, 15 July 2006, Pages 175–181