Object

Title: Applications of Topological Derivative for Accelerating the Genetic Algorithm in Shape Optimization of Coupled Models

Subtitle:

Raport Badawczy = Research Report ; RB/14/2012

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Description:

36 pages ; 21 cm ; Bibliography p. 36

Abstract:

In the paper we consider a new variant of the genetic algorithm for finding the location and size of small holes in the domain, in which the coupled linear and non-linear boundary value problems are defined. The linear and non-linear parts are connected by the transmission condition on on the common boundary. The expansion of the shape functional for non-linear part and the expansion of Steklov-Poincare operator for linear part are provided in order to determine the form of topological derivative for the coupled model. The value of topological derivative is then used for computing the probability density applied later in generating location of holes by the genetic algorithm.

Relation:

Raport Badawczy = Research Report

Resource Identifier:

oai:rcin.org.pl:110582 ; oai:rcin.org.pl:110582

Source:

RB-2012-14

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

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