Jump to ContentJump to Main Navigation
Wavelet Methods for Elliptic Partial Differential Equations$
Users without a subscription are not able to see the full content.

Karsten Urban

Print publication date: 2008

Print ISBN-13: 9780198526056

Published to Oxford Scholarship Online: May 2009

DOI: 10.1093/acprof:oso/9780198526056.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2017. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see http://www.oxfordscholarship.com/page/privacy-policy).date: 21 September 2017

Some Applications

Some Applications

Chapter:
(p.394) 9 Some Applications
Source:
Wavelet Methods for Elliptic Partial Differential Equations
Author(s):

Karsten Urban

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198526056.003.0009

Some recent applications of wavelet methods are shown. The chapter starts with the numerical realization of the WEM and consider the L-shaped domain as a model for a non-separable domain. The chapter tests adaptive wavelet schemes. Next, more complicated domains are considered. In particular, the role of the mapping and matching approach is investigated. Saddle point problems can be seen as a system of equations that are indefinite. It is shown that an adaptive scheme makes usual compatibility constraints void (Ladyshenskaja-Babushka-Brezzi condition). As a particular example, the chapter considers the Stokes problem from Fluid Dynamics.

Keywords:   Wavelet Element Method, saddle point problem, stokes problem, Ladyshenskaja-Babushka-Brezzi condition, inf-sup condition, velocity, pressure

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 .