Title: Finite element tearing and interconnecting-1 method for the solution of the topology optimisation problem

Authors: Ouafaa Raibi; Abdelilah Makrizi

Addresses: Laboratoir MISI, Faculté Sciences et Techniques, Hassan First University of Settat, Settat City, Morocco ' Laboratoir MISI, CMREF Khouribga, FST de Settat, Settat, Morocco

Abstract: The algebraic system derived from the descritisation of problems arising in physical field and engineering science appears to be challenging to solve due to the strong nonlinearity and the large size of such problems. Parallel processing is shown to be an efficient technique to handle the computational complexity associated with solving large linear systems and this is readily obtained by using one of the most popular methods which is known to be suitable for parallelisation, namely, domain decomposition methods. In this work, we apply finite element tearing and interconnecting method within the framework of topology optimisation, we describe a methodology that brings together existing fast algorithms for topology optimisation and FETI for solving the resulting large-scale linear systems.

Keywords: domain decomposition; FETI-1 method; minimum compliance; topology optimisation.

DOI: 10.1504/IJMMNO.2022.122086

International Journal of Mathematical Modelling and Numerical Optimisation, 2022 Vol.12 No.2, pp.141 - 156

Received: 11 Sep 2020
Accepted: 05 Aug 2021

Published online: 08 Apr 2022 *

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