University of Jyväskylä | JYX Digital Repository

  • English  | Give feedback |
    • suomi
    • English
 
  • Login
JavaScript is disabled for your browser. Some features of this site may not work without it.
View Item 
  • JYX
  • Artikkelit
  • Informaatioteknologian tiedekunta
  • View Item
JYX > Artikkelit > Informaatioteknologian tiedekunta > View Item

Time-harmonic elasticity with controllability and higher-order discretization methods

ThumbnailAuthor's Final draft
View/Open
1.1 Mb

Downloads:  
Show download detailsHide download details  
Mönkölä, S., Heikkola, E., Pennanen, A., & Rossi, T. (2008). Time-harmonic elasticity with controllability and higher-order discretization methods. Journal of Computational Physics, 227(11), 5513-5534. https://doi.org/10.1016/j.jcp.2008.01.054
Published in
Journal of Computational Physics
Authors
Mönkölä, Sanna |
Heikkola, Erkki |
Pennanen, Anssi |
Rossi, Tuomo
Date
2008
Copyright
© Elsevier. This is an author's final draft version of an article whose final and definitive form has been published by Elsevier.

 
The time-harmonic solution of the linear elastic wave equation is needed for a variety of applications. The typical procedure for solving the time-harmonic elastic wave equation leads to difficulties solving large-scale indefinite linear systems. To avoid these difficulties, we consider the original time dependent equation with a method based on an exact controllability formulation. The main idea of this approach is to find initial conditions such that after one time-period, the solution and its time derivative coincide with the initial conditions.The wave equation is discretized in the space domain with spectral elements. The degrees of freedom associated with the basis functions are situated at the Gauss–Lobatto quadrature points of the elements, and the Gauss–Lobatto quadrature rule is used so that the mass matrix becomes diagonal. This method is combined with the second-order central finite difference or the fourth-order Runge–Kutta time discretization. As a consequence of these choices, only matrix–vector products are needed in time dependent simulation. This makes the controllability method computationally efficient. ...
Publisher
Elsevier
ISSN Search the Publication Forum
0021-9991
DOI
https://doi.org/10.1016/j.jcp.2008.01.054
URI

http://urn.fi/URN:NBN:fi:jyu-201210102636

Publication in research information system

https://converis.jyu.fi/converis/portal/detail/Publication/17661265

Metadata
Show full item record
Collections
  • Informaatioteknologian tiedekunta [1859]

Related items

Showing items with similar title or keywords.

  • Controllability method for the Helmholtz equation with higher-order discretizations 

    Heikkola, Erkki; Mönkölä, Sanna; Pennanen, Anssi; Rossi, Tuomo (Elsevier, 2007)
    We consider a controllability technique for the numerical solution of the Helmholtz equation. The original time-harmonic equation is represented as an exact controllability problem for the time-dependent wave equation. ...
  • Spectral element method and controllability approach for time-harmonic wave propagation 

    Mönkölä, Sanna (University of Jyväskylä, 2008)
  • An optimization-based approach for solving a time-harmonic multiphysical wave problem with higher-order schemes 

    Mönkölä, Sanna (Elsevier, 2013)
    This study considers developing numerical solution techniques for the computer simulations of time-harmonic fluid-structure interaction between acoustic and elastic waves. The focus is on the efficiency of an iterative ...
  • Time-harmonic solution for acousto-elastic interaction with controllability and spectral elements 

    Mönkölä, Sanna (Elsevier, 2010)
    The classical way of solving the time-harmonic linear acousto-elastic wave problem is to discretize the equations with finite elements or finite differences. This approach leads to large-scale indefinite complex-valued ...
  • On the finite element method for time-harmonic acoustic boundary value problems 

    Neittaanmäki, Pekka; Picard, Rainer (Pergamon Press, 1981)
    The time harmonic acoustic boundary value problem in a smooth, bounded domain G of R2 is considered as a first order system. The optimal asymptotic L2(G) and H1(G)-error estimates 0(h2) and 0(h) resp. are derived for a ...
  • Browse materials
  • Browse materials
  • Articles
  • Conferences and seminars
  • Electronic books
  • Historical maps
  • Journals
  • Tunes and musical notes
  • Photographs
  • Presentations and posters
  • Publication series
  • Research reports
  • Research data
  • Study materials
  • Theses

Browse

All of JYXCollection listBy Issue DateAuthorsSubjectsPublished inDepartmentDiscipline

My Account

Login

Statistics

View Usage Statistics
  • How to publish in JYX?
  • Self-archiving
  • Publish Your Thesis Online
  • Publishing Your Dissertation
  • Publication services

Open Science at the JYU
 
Data Protection Description

Accessibility Statement

Unless otherwise specified, publicly available JYX metadata (excluding abstracts) may be freely reused under the CC0 waiver.
Open Science Centre