Scalable topology optimization with the kernel-independent fast multipole method

Igor Ostanin, Ivan Tsybulin, Mikhail Litsarev, Ivan Oseledets, Denis Zorin

Research output: Contribution to journalArticle

Abstract

The paper presents a new method for shape and topology optimization based on an efficient and scalable boundary integral formulation for elasticity. To optimize topology, our approach uses iterative extraction of isosurfaces of a topological derivative. The numerical solution of the elasticity boundary value problem at every iteration is performed with the boundary element formulation and the kernel-independent fast multipole method. Providing excellent single node performance and scalable parallelization, our method is among the fastest optimization tools available today. The performance of our approach is studied on few illustrative examples, including the optimization of engineered constructions for the minimum compliance and the optimization of the microstructure of a metamaterial for the desired macroscopic tensor of elasticity.

Original languageEnglish (US)
Pages (from-to)123-132
Number of pages10
JournalEngineering Analysis with Boundary Elements
Volume83
DOIs
StatePublished - Oct 1 2017

Fingerprint

Fast multipole Method
Topology Optimization
Shape optimization
Elasticity
kernel
Optimization
Topological Derivative
Isosurface
Formulation
Metamaterials
Boundary Integral
Shape Optimization
Compliance
Parallelization
Boundary value problems
Boundary Elements
Tensors
Microstructure
Tensor
Boundary Value Problem

Keywords

  • Boundary element method
  • Kernel-independent fast multipole method
  • Topology optimization

ASJC Scopus subject areas

  • Analysis
  • Engineering(all)
  • Computational Mathematics
  • Applied Mathematics

Cite this

Scalable topology optimization with the kernel-independent fast multipole method. / Ostanin, Igor; Tsybulin, Ivan; Litsarev, Mikhail; Oseledets, Ivan; Zorin, Denis.

In: Engineering Analysis with Boundary Elements, Vol. 83, 01.10.2017, p. 123-132.

Research output: Contribution to journalArticle

Ostanin, Igor ; Tsybulin, Ivan ; Litsarev, Mikhail ; Oseledets, Ivan ; Zorin, Denis. / Scalable topology optimization with the kernel-independent fast multipole method. In: Engineering Analysis with Boundary Elements. 2017 ; Vol. 83. pp. 123-132.
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