Computable bounds of functional outputs in linear visco-elastodynamics

Francesc Verdugo; Pedro Diez

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Computable bounds of functional outputs in linear visco-elastodynamics

机译：Computable bounds of functional outputs in linear visco-elastodynamics

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This work presents a new technique yielding computable bounds of quantities of interest in the framework of linear visco-elastodynamics. A novel expression for the error representation is introduced, alternative to the previous ones using the Cauchy-Schwarz inequality. The proposed formulation utilizes symmetrized forms of the error equations to derive error bounds in terms of energy error measures. The practical implementation of the method is based on constructing admissible fields for both the original problem and the adjoint problem associated with the quantity of interest. Here, the flux-free technique is considered to compute the admissible stress fields. The proposed methodology yields estimates with better quality than the ones based on the Cauchy-Schwarz inequality. In the studied examples the bound gaps obtained are approximately halved, that is the estimated intervals of confidence are reduced.

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《Computer Methods in Applied Mechanics and Engineering》 |2012年第15期|313-330|共18页
作者
Francesc Verdugo; Pedro Diez;
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作者单位

Universitat Politecnica de Catalunya (UK), Laboratori de Calcul Numeric (LaCaN), Jordi Cirona 1-3, E-08034 Barcelona, Spain;

Universitat Politecnica de Catalunya (UK), Laboratori de Calcul Numeric (LaCaN), Jordi Cirona 1-3, E-08034 Barcelona, Spain,Centre International de Metodes Numerics en Enginyeria (CIMNE), Gran Capitan s/n, E-08034 Barcelona, Spain;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类自动化基础理论;
关键词
computable bounds; quantity of interest; adjoint problem; goal-oriented error assessment; visco-elastodynamics;

Computable bounds of functional outputs in linear visco-elastodynamics

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