Computational aspects of the new discontinuous Galerkin method

Authors:
Helmi Temimi;Slimane Adjerid
Affiliations:
Gulf University for Sciences and Technology, Department of Mathematics and Natural sciences, West Mishref, Kuwait;Virginia Polytechnic Institute and State University, Department of Mathematics, Blacksburg, VA
Venue:
F-and-B'11 Proceedings of the 4th WSEAS international conference on Finite differences - finite elements - finite volumes - boundary elements
Year:
2011

Citing 3
Cited 0

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Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method

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Discontinuous Galerkin Methods: Theory, Computation and Applications

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Abstract

In this paper, we provide the reasons behind the choice of opting to solve the higher-order ordinary differential equations (ODEs) by involving all the derivative's terms in the variational formulation using the Discontinuous Galerkin (DG) method instead of treating its reduced system of first order ODEs. The computational results reveal the efficacy of the DG method for higher order ODEs, which lends it as an attractive alternative instead of other numerical techniques.