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

DSpace/Manakin Repository

Show simple item record

dc.contributor.author Mönkölä, Sanna
dc.contributor.author Heikkola, Erkki
dc.contributor.author Pennanen, Anssi
dc.contributor.author Rossi, Tuomo
dc.date.accessioned 2012-10-11T11:02:30Z
dc.date.available 2012-10-11T11:02:30Z
dc.date.issued 2008
dc.identifier.citation 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. fi
dc.identifier.issn 0021-9991
dc.identifier.other TUTKAID_29737
dc.identifier.uri http://hdl.handle.net/123456789/39960
dc.description.abstract 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. fi
dc.language.iso eng
dc.publisher Elsevier
dc.relation.ispartof Journal of Computational Physics
dc.rights © Elsevier. This is an author's final draft version of an article whose final and definitive form has been published by Elsevier.
dc.title Time-harmonic elasticity with controllability and higher-order discretization methods
dc.type Article en
dc.identifier.urn URN:NBN:fi:jyu-201210102636
dc.contributor.laitos Tietotekniikan laitos fi
dc.contributor.laitos Department of Mathematical Information Technology en
jyx.tutka.volyme 227
jyx.tutka.mnumber 11
jyx.tutka.pagetopage 5513-5534
dc.type.uri http://purl.org/eprint/type/SubmittedJournalArticle
dc.identifier.doi 10.1016/j.jcp.2008.01.054
dc.date.updated 2012-10-10T03:30:07Z
dc.description.version Author's Final draft
eprint.status http://purl.org/eprint/type/status/PeerReviewed

This item appears in the following Collection(s)

Show simple item record