The discontinuous Galerkin method on Cartesian grids with embedded geometries: spectrum analysis and implementation for Euler equations

In this thesis, we analyze theoretical properties of the discontinuous Galerkin method (DGM) and propose novel approaches to implementation with the aim to increase its efficiency. First, we derive explicit expressions for the eigenvalues (spectrum) of the discontinuous Galerkin spatial discretizat...

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Bibliographic Details
Main Author: Qin, Ruibin
Language:en
Published: 2012
Subjects:
Online Access:http://hdl.handle.net/10012/7003