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Goal-oriented space-time adaptivity for transient dynamics using a modal description of the adjoint solution
dc.contributor.author | Verdugo Rojano, Francesc |
dc.contributor.author | Parés Mariné, Núria |
dc.contributor.author | Díez, Pedro |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2015-10-19T11:44:19Z |
dc.date.available | 2015-10-19T11:44:19Z |
dc.date.created | 2014-08-01 |
dc.date.issued | 2014-08-01 |
dc.identifier.citation | Verdugo, F., Pares, N., Diez, P. Goal-oriented space-time adaptivity for transient dynamics using a modal description of the adjoint solution. "Computational Mechanics", 01 Agost 2014, vol. 54, núm. 2, p. 331-352. |
dc.identifier.issn | 0178-7675 |
dc.identifier.uri | http://hdl.handle.net/2117/77875 |
dc.description.abstract | This article presents a space-time adaptive strategy for transient elastodynamics. The method aims at computing an optimal space-time discretization such that the computed solution has an error in the quantity of interest below a user-defined tolerance. The methodology is based on a goal-oriented error estimate that requires accounting for an auxiliary adjoint problem. The major novelty of this paper is using modal analysis to obtain a proper approximation of the adjoint solution. The idea of using a modal-based description was introduced in a previous work for error estimation purposes. Here this approach is used for the first time in the context of adaptivity. With respect to the standard direct time-integration methods, the modal solution of the adjoint problem is highly competitive in terms of computational effort and memory requirements. The performance of the proposed strategy is tested in two numerical examples. The two examples are selected to be representative of different wave propagation phenomena, one being a 2D bulky continuum and the second a 2D domain representing a structural frame. |
dc.format.extent | 22 p. |
dc.language.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica |
dc.subject.lcsh | Numerical analysis |
dc.subject.other | Elastodynamics |
dc.subject.other | Adaptivity |
dc.subject.other | Goal-oriented error assessment |
dc.subject.other | Adjoint problem |
dc.subject.other | Quantity of interest |
dc.subject.other | Modal analysis |
dc.subject.other | Finite-element methods |
dc.subject.other | Diffusion-reaction equation |
dc.subject.other | Error estimation |
dc.subject.other | Functional outputs |
dc.subject.other | Exact boubds |
dc.subject.other | Parabolic-problems |
dc.subject.other | Linear elasticty |
dc.subject.other | Computations |
dc.title | Goal-oriented space-time adaptivity for transient dynamics using a modal description of the adjoint solution |
dc.type | Article |
dc.subject.lemac | Anàlisi numèrica |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1007/s00466-014-0988-2 |
dc.rights.access | Open Access |
local.identifier.drac | 15076014 |
dc.description.version | Postprint (published version) |
local.citation.author | Verdugo, F.; Pares, N.; Diez, P. |
local.citation.publicationName | Computational Mechanics |
local.citation.volume | 54 |
local.citation.number | 2 |
local.citation.startingPage | 331 |
local.citation.endingPage | 352 |
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