PittsburghV1, France, Analysis, bibRecord, 000782

Dislocation transport using an explicit Galerkin-Least Squares formulation

Identifieur interne : 000782 ( France/Analysis ); précédent : 000781; suivant : 000783

Dislocation transport using an explicit Galerkin-Least Squares formulation

Auteurs : S. Varadhan [États-Unis] ; A. Beaudoin [États-Unis] ; A. Acharya [États-Unis] ; C. Fressengeas [France]

Source :

RBID : Hal:hal-00119274

Abstract

An explicit Galerkin/least squares formulation is introduced for a quasilinear transport equation in Field Dislocation Mechanics (FDM) and applied to the study of the kinematics of dislocation density evolution in the following physical contexts: annihilation of dislocations, expansion of a dislocation loop, simulation of Frank-Read sources. This conditionnaly stable method leads to a symmetric well-conditioned system of equations with constant coefficients, making it attractive for large-scale problems. The weak solutions to these equations are not unique, and the method is able to capture shock formation as well as rarefraction waves by appropriate algorithmic modifications.

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https://hal.archives-ouvertes.fr/hal-00119274

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Hal:hal-00119274

Le document en format XML

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<front><div type="abstract" xml:lang="en">An explicit Galerkin/least squares formulation is introduced for a quasilinear transport equation in Field Dislocation Mechanics (FDM) and applied to the study of the kinematics of dislocation density evolution in the following physical contexts: annihilation of dislocations, expansion of a dislocation loop, simulation of Frank-Read sources. This conditionnaly stable method leads to a symmetric well-conditioned system of equations with constant coefficients, making it attractive for large-scale problems. The weak solutions to these equations are not unique, and the method is able to capture shock formation as well as rarefraction waves by appropriate algorithmic modifications.</div>
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   |wiki=    Wicri/Amérique
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   |texte=   Dislocation transport using an explicit Galerkin-Least Squares formulation
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Dislocation transport using an explicit Galerkin-Least Squares formulation

Dislocation transport using an explicit Galerkin-Least Squares formulation

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Abstract

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Le document en format XML

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