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The Discontinuous Galerkin Finite Element MethodThe 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.
Document ID
20220001916
Acquisition Source
Langley Research Center
Document Type
Technical Memorandum (TM)
Authors
Ivatury S Raju (Langley Research Center Hampton, Virginia, United States)
Date Acquired
February 3, 2022
Publication Date
February 11, 2022
Subject Category
Numerical Analysis
Report/Patent Number
NASA/TM-20220001916
Funding Number(s)
WBS: 981698.01.04.23.43.03.09
Distribution Limits
Public
Copyright
Portions of document may include copyright protected material.
Technical Review
Single Expert
Keywords
Finite element
Euler-Bernoulli beams
Thin beams
continuous beams
discontinuous Galerkin method
weighted residual methods
Galerkin method
Petrov-Galerkin method

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