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Goal-oriented space-time adaptivity for transient dynamics using a modal description of the adjoint solution

Author
Verdugo, F.; Pares, N.; Diez, P.
Type of activity
Journal article
Journal
Computational mechanics
Date of publication
2014-08-01
Volume
54
Number
2
First page
331
Last page
352
DOI
https://doi.org/10.1007/s00466-014-0988-2 Open in new window
Project funding
Desarrollo y análisis del método PGD para procesos de conformado termoplástico
Repository
http://hdl.handle.net/2117/77875 Open in new window
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 us...
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.
Keywords
Adaptivity, Adjoint problem, Computations, Diffusion-reaction equation, Elastodynamics, Error estimation, Exact boubds, Finite-element methods, Functional outputs, Goal-oriented error assessment, Linear elasticty, Modal analysis, Parabolic-problems, Quantity of interest
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

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