The method of finite spheres in acoustic wave propagation through nonhomogeneous media: Inf-sup stability conditions

Vietnam Journal of Mechanics

View Publication Info
 
 
Field Value
 
Title The method of finite spheres in acoustic wave propagation through nonhomogeneous media: Inf-sup stability conditions
 
Creator Nicomedes, Williams L.
Bathe, Klaus-Jürgen
Moreira, Fernando J. S.
Mesquita, Renato C.
 
Subject acoustic waves; finite elements; finite spheres; inf-sup conditions; meshfree methods
 
Description When the method of finite spheres is used for the solution of time-harmonic acoustic wave propagation problems in nonhomogeneous media, a mixed (or saddle-point) formulation is obtained in which the unknowns are the pressure fields and the Lagrange multiplier fields defined at the interfaces between the regions with distinct material properties. Then certain inf-sup conditions must be satisfied by the discretized spaces in order for the finite-dimensional problems to be well-posed. We discuss in this paper the analysis and use of these conditions. Since the conditions  involve norms of functionals in fractional Sobolev spaces, we derive ‘stronger’ conditions that are simpler in form. These new conditions pave the way for the inf-sup testing, a tool for assessing the stability of the discretized problems.
 
Publisher Publishing House for Science and Technology
 
Contributor
 
Date 2020-09-27
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion

 
Format application/pdf
 
Identifier http://vjs.ac.vn/index.php/vjmech/article/view/15336
10.15625/0866-7136/15336
 
Source Vietnam Journal of Mechanics; Vol 42, No 3 (2020); 209-237
Vietnam Journal of Mechanics; Vol 42, No 3 (2020); 209-237
0866-7136
0866-7136
 
Language eng
 
Relation http://vjs.ac.vn/index.php/vjmech/article/view/15336/pdf
 
Rights Copyright (c) 2020 Vietnam Academy of Science and Technology
 

Contact Us

The PKP Index is an initiative of the Public Knowledge Project.

For PKP Publishing Services please use the PKP|PS contact form.

For support with PKP software we encourage users to consult our wiki for documentation and search our support forums.

For any other correspondence feel free to contact us using the PKP contact form.

Find Us

Twitter

Copyright © 2015-2018 Simon Fraser University Library