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Finite element method based computational time reversal in elastodynamics: Refocusing, reconstruction and its numerical sensitivity

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F21%3A00535460" target="_blank" >RIV/61388998:_____/21:00535460 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S0378475420303979?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0378475420303979?via%3Dihub</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.matcom.2020.11.004" target="_blank" >10.1016/j.matcom.2020.11.004</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Finite element method based computational time reversal in elastodynamics: Refocusing, reconstruction and its numerical sensitivity

  • Original language description

    In this paper, we study the accuracy and robustness of the computational time reversal approach based on the explicit finite element method for application in nondestructive testing in solids. The main goal of this paper is to find a methodology for correct and accurate reconstruction of the original source time history. For numerical modeling of frontal (forward) and reversen(backward) problems of elastic wave propagation, we use the finite element method and explicit time integration with the lumped mass matrix. The suggested methodology is applicable in each finite element open source or commercial software. A special attention is paid to prescription of boundary conditions/loading for the reverse problem for accurate reconstruction of time history of the original source. For evaluation of the reconstruction quality, we suggest certain cost functions. Based on several numerical tests, we show effects of prescription of boundary conditions/loading in time reversal, effect of mesh size and time step size, an unknown obstacle, a number of sources, and environmental disturbance (noise) on the correctness of reconstruction of the original source.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    20301 - Mechanical engineering

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2021

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Mathematics and Computers in Simulation

  • ISSN

    0378-4754

  • e-ISSN

    1872-7166

  • Volume of the periodical

    189

  • Issue of the periodical within the volume

    November

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    34

  • Pages from-to

    163-192

  • UT code for WoS article

    000683684700014

  • EID of the result in the Scopus database

    2-s2.0-85097457964