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Discrete Dislocation Dynamics and Mean Curvature Flow

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F10%3A00185172" target="_blank" >RIV/68407700:21110/10:00185172 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21340/10:00185172

  • Result on the web

    <a href="http://dx.doi.org/10.1007/978-3-642-11795-4_77" target="_blank" >http://dx.doi.org/10.1007/978-3-642-11795-4_77</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-642-11795-4_77" target="_blank" >10.1007/978-3-642-11795-4_77</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Discrete Dislocation Dynamics and Mean Curvature Flow

  • Original language description

    This contribution deals with the numerical simulation of dislocation dynamics by means of parametric mean curvature flow. Dislocations are described as an evolving family of closed and open smooth curves driven by the normal velocity. Normal velocity isthe function of curvature and the position vector. The equation is solved using direct approach by semi-discrete scheme based on finite difference method. Numerical stability is improved by tangential redistribution of curve points which allows long timecomputations and better accuracy. Our method contain an algorithm which allows topological changes. The results of dislocation dynamics simulation are presented (e.g. dislocations in channel, Frank-Read source, etc.).

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/LC06052" target="_blank" >LC06052: The Nečas Center for Mathematical Modeling</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2010

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Numerical Mathematics and Advanced Applications. ENUMATH 2009

  • ISBN

    978-3-642-11794-7

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    721-728

  • Publisher name

    Springer

  • Place of publication

    Berlin

  • Event location

    Uppsala

  • Event date

    Jun 29, 2009

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article