Jump to ContentJump to Main Navigation
Computational SeismologyA Practical Introduction$
Users without a subscription are not able to see the full content.

Heiner Igel

Print publication date: 2016

Print ISBN-13: 9780198717409

Published to Oxford Scholarship Online: January 2017

DOI: 10.1093/acprof:oso/9780198717409.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2020. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 09 April 2020

The Discontinuous Galerkin Method

The Discontinuous Galerkin Method

Chapter:
(p.239) 9 The Discontinuous Galerkin Method
Source:
Computational Seismology
Author(s):

Heiner Igel

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198717409.003.0009

The discontinuous Galerkin method is introduced as a special type of finite-element method in which the solution fields are allowed to be discontinuous at the element boundaries. This requires the use of the same fluxes as introduced in the chapter on the finite-volume method. The solution field is interpolated using Lagrange polynomials. The discontinuous Galerkin principle leads to an elemental system of equations. Communication between elements is possible through the fluxes. The method is presented for scalar and elastic wave equations for both homogeneous and heterogeneous media. The method can be considered a mixture of the spectral-element and the finite-volume methods.

Keywords:   discontinuous Galerkin method, Riemann problem, Lagrange polynomials, fluxes, scalar advection, hyperbolic systems

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .