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Time-domain goal-oriented adaptivity using pseudo-dual error representations

delete2017-10-01
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OA
AI
J
Judit Muñoz‐Matute *
E
Elisabete Alberdi
D
David Pardo
V
Victor M. Calo
DOI:10.1016/j.cma.2017.06.037delete
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摘要

摘要

En 中文
Goal-oriented adaptive algorithms produce optimal grids to solve challenging engineering problems. Recently, a novel error representation using (unconventional) pseudo-dual problems for goal-oriented adaptivity in the context of frequency-domain wave-propagation problems has been developed. In this paper, we extend this error representation to the case of time-domain problems. We express the entire problem in weak form in order to derive the adjoint formulation and apply goal-oriented adaptivity. One dimensional (1D) numerical results show that upper bounds for the new error representation are sharper than the classical ones. Therefore, this new error representation can be used to design more efficient goal-oriented adaptive methodologies. (C) 2017 Elsevier B.V. All rights reserved.
Keyword:
Wave equation
Goal-oriented adaptivity
Error representation
Finite element method
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期刊

Computer Methods in Applied Mechanics and Engineering 封面图
Computer Methods in Applied Mechanics and Engineering
IF:
7.3
论文数:
1.3W
被引数:
5.6W

机构

C
Curtin University
学者数:
1.5W
论文数: 1.8W
被引数: 2.8W
U
university of basque country
学者数:
1.9W
论文数: 1.6W
被引数: 17
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