An efficient approach to the numerical solution of rate-independent problems with nonconvex energies

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F11%3A00185359" target="_blank" >RIV/68407700:21110/11:00185359 - isvavai.cz</a>

Alternative codes found

RIV/67985556:_____/11:00364707

Result on the web

<a href="http://dx.doi.org/10.1137/110821718" target="_blank" >http://dx.doi.org/10.1137/110821718</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1137/110821718" target="_blank" >10.1137/110821718</a>

Result language

angličtina

Original language name

An efficient approach to the numerical solution of rate-independent problems with nonconvex energies

Original language description

We propose a new approach to the numerical treatment of non(quasi)convex rate-independent evolutionary problems. The main idea is to replace the original microscopic energy density by its polyconvexification. For this problem, first-order optimality conditions are derived and used in finding a discrete solution. The effectiveness of the method is illustrated with some numerical experiments.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2011

Confidentiality

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

Name of the periodical

Multiscale Modeling & Simulation

ISSN

1540-3459

e-ISSN

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Volume of the periodical

9

Issue of the periodical within the volume

3

Country of publishing house

US - UNITED STATES

Number of pages

25

Pages from-to

1276-1300

UT code for WoS article

000295399000014

EID of the result in the Scopus database

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