Error assessment for timeline-dependent quantities of interest in transient elastodynamics

F. Verdugo; N. Parés; P. Díez

Error assessment for timeline-dependent quantities of interest in transient elastodynamics

F. Verdugo
, N. Parés
, P. Díez

Research output: Chapter in Book / Report / Conference proceeding › Conference contribution › Academic › peer-review

Abstract

This work presents a new approach to assess the error in specific quantities of interest in the framework of linear elastodynamics. In particular, a new type of quantities of interest (referred as timeline-dependent quantities) is proposed. These quantities are scalar time-dependent outputs of the transient solution which are better suited to time-dependent problems than the standard scalar ones available in the literature. The proposed methodology furnishes error estimates for both the standard scalar and the new timeline-dependent quantities of interest. The key ingredient is the modal-based approximation of the associated adjoint problems which allows efficiently computing and storing the adjoint solution.

Original language	English
Title of host publication	Adaptive Modeling and Simulation 2013 - Proceedings of the 6th International Conference on Adaptive Modeling and Simulation, ADMOS 2013
Pages	661-672
Publication status	Published - 2013
Externally published	Yes
Event	6th International Conference on Adaptive Modeling and Simulation, ADMOS 2013 - , Portugal Duration: 3 Jun 2013 → 5 Jun 2013

Conference

Conference	6th International Conference on Adaptive Modeling and Simulation, ADMOS 2013
Country/Territory	Portugal
Period	3/06/13 → 5/06/13

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

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title = "Error assessment for timeline-dependent quantities of interest in transient elastodynamics",

abstract = "This work presents a new approach to assess the error in specific quantities of interest in the framework of linear elastodynamics. In particular, a new type of quantities of interest (referred as timeline-dependent quantities) is proposed. These quantities are scalar time-dependent outputs of the transient solution which are better suited to time-dependent problems than the standard scalar ones available in the literature. The proposed methodology furnishes error estimates for both the standard scalar and the new timeline-dependent quantities of interest. The key ingredient is the modal-based approximation of the associated adjoint problems which allows efficiently computing and storing the adjoint solution.",

author = "F. Verdugo and N. Par{\'e}s and P. D{\'i}ez",

year = "2013",

language = "English",

pages = "661--672",

booktitle = "Adaptive Modeling and Simulation 2013 - Proceedings of the 6th International Conference on Adaptive Modeling and Simulation, ADMOS 2013",

note = "6th International Conference on Adaptive Modeling and Simulation, ADMOS 2013 ; Conference date: 03-06-2013 Through 05-06-2013",

}

Verdugo, F, Parés, N & Díez, P 2013, Error assessment for timeline-dependent quantities of interest in transient elastodynamics. in Adaptive Modeling and Simulation 2013 - Proceedings of the 6th International Conference on Adaptive Modeling and Simulation, ADMOS 2013. pp. 661-672, 6th International Conference on Adaptive Modeling and Simulation, ADMOS 2013, Portugal, 3/06/13.

Error assessment for timeline-dependent quantities of interest in transient elastodynamics. / Verdugo, F.; Parés, N.; Díez, P.
Adaptive Modeling and Simulation 2013 - Proceedings of the 6th International Conference on Adaptive Modeling and Simulation, ADMOS 2013. 2013. p. 661-672.

Research output: Chapter in Book / Report / Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Error assessment for timeline-dependent quantities of interest in transient elastodynamics

AU - Verdugo, F.

AU - Parés, N.

AU - Díez, P.

PY - 2013

Y1 - 2013

N2 - This work presents a new approach to assess the error in specific quantities of interest in the framework of linear elastodynamics. In particular, a new type of quantities of interest (referred as timeline-dependent quantities) is proposed. These quantities are scalar time-dependent outputs of the transient solution which are better suited to time-dependent problems than the standard scalar ones available in the literature. The proposed methodology furnishes error estimates for both the standard scalar and the new timeline-dependent quantities of interest. The key ingredient is the modal-based approximation of the associated adjoint problems which allows efficiently computing and storing the adjoint solution.

AB - This work presents a new approach to assess the error in specific quantities of interest in the framework of linear elastodynamics. In particular, a new type of quantities of interest (referred as timeline-dependent quantities) is proposed. These quantities are scalar time-dependent outputs of the transient solution which are better suited to time-dependent problems than the standard scalar ones available in the literature. The proposed methodology furnishes error estimates for both the standard scalar and the new timeline-dependent quantities of interest. The key ingredient is the modal-based approximation of the associated adjoint problems which allows efficiently computing and storing the adjoint solution.

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UR - https://www.scopus.com/pages/publications/84891281236#tab=citedBy

M3 - Conference contribution

SP - 661

EP - 672

BT - Adaptive Modeling and Simulation 2013 - Proceedings of the 6th International Conference on Adaptive Modeling and Simulation, ADMOS 2013

T2 - 6th International Conference on Adaptive Modeling and Simulation, ADMOS 2013

Y2 - 3 June 2013 through 5 June 2013

ER -

Error assessment for timeline-dependent quantities of interest in transient elastodynamics

Abstract

Conference

UN SDGs

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