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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

  • 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

    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

  • 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