TY - JOUR
T1 - Scalable topology optimization with the kernel-independent fast multipole method
AU - Ostanin, Igor
AU - Tsybulin, Ivan
AU - Litsarev, Mikhail
AU - Oseledets, Ivan
AU - Zorin, Denis
N1 - Funding Information:
Authors express their deep gratitude to Dhairya Malhotra, for his helpful comments and assistance. Authors gratefully acknowledge the financial support from Russian Science Foundation (RSF) under the grant 15-11-00033. I. Ostanin acknowledges the financial support from the Russian Foundation for Basic Research (RFBR) under grant 16-31-60100.
Publisher Copyright:
© 2017 Elsevier Ltd
PY - 2017/10
Y1 - 2017/10
N2 - 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.
AB - 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.
KW - Boundary element method
KW - Kernel-independent fast multipole method
KW - Topology optimization
UR - http://www.scopus.com/inward/record.url?scp=85026736356&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85026736356&partnerID=8YFLogxK
U2 - 10.1016/j.enganabound.2017.07.020
DO - 10.1016/j.enganabound.2017.07.020
M3 - Article
AN - SCOPUS:85026736356
SN - 0955-7997
VL - 83
SP - 123
EP - 132
JO - Engineering Analysis with Boundary Elements
JF - Engineering Analysis with Boundary Elements
ER -