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NASA NTRS · 20220001916

The Discontinuous Galerkin Finite Element Method

Abstract

The purpose of this report is to present details of the Discontinuous Galerkin (DG) Finite Element Method (DG FEM). First the weighted-residual (WR) form is introduced and then the Galerkin Finite Element (FE) (GFE) and the Petrov-Galerkin FE (PG FE) methods are discussed. The details of the implementation of the DG FEM are presented along with two examples, 2nd order and 4th order differential equations, and the performance of the method is discussed.

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BibTeXRIS

Ivatury S Raju. 2022-02-11. The Discontinuous Galerkin Finite Element Method. https://ntrs.nasa.gov/citations/20220001916

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