Non-monotone projected gradient method in linear elasticity contact problems with given friction
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27120%2F20%3A10245722" target="_blank" >RIV/61989100:27120/20:10245722 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27240/20:10245722 RIV/61989100:27730/20:10245722 RIV/68145535:_____/20:00559266
Result on the web
<a href="https://www.mdpi.com/2071-1050/12/20/8674/htm" target="_blank" >https://www.mdpi.com/2071-1050/12/20/8674/htm</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/su12208674" target="_blank" >10.3390/su12208674</a>
Alternative languages
Result language
angličtina
Original language name
Non-monotone projected gradient method in linear elasticity contact problems with given friction
Original language description
We are focusing on the algorithms for solving the large-scale convex optimization problem in linear elasticity contact problems discretized by Finite Element method (FEM). The unknowns of the problem are the displacements of the FEM nodes, the corresponding objective function is defined as a convex quadratic function with symmetric positive definite stiffness matrix and additional non-linear term representing the friction in contact. The feasible set constraints the displacement subject to non-penetration conditions. The dual formulation of this optimization problem is well-known as a Quadratic Programming (QP) problem and can be considered as a most basic non-linear optimization problem. Understanding these problems and the development of efficient algorithms for solving them play the crucial role in the large-scale problems in practical applications. We shortly review the theory and examine the behavior and the efficiency of Spectral Projected Gradient method modified for QP problems (SPG-QP) on the solution of a toy example in MATLAB environment. (C) 2020 by the authors. Licensee MDPI, Basel, Switzerland.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
V - Vyzkumna aktivita podporovana z jinych verejnych zdroju
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Sustainability
ISSN
2071-1050
e-ISSN
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Volume of the periodical
12
Issue of the periodical within the volume
20
Country of publishing house
CH - SWITZERLAND
Number of pages
11
Pages from-to
1-11
UT code for WoS article
000583086900001
EID of the result in the Scopus database
2-s2.0-85093122217