[HTML][HTML] Holistic computational design within additive manufacturing through topology optimization combined with multiphysics multi-scale materials and process …

M Bayat, O Zinovieva, F Ferrari, C Ayas… - Progress in Materials …, 2023 - Elsevier
Additive manufacturing (AM) processes have proven to be a perfect match for topology
optimization (TO), as they are able to realize sophisticated geometries in a unique layer-by …

Accelerating large-scale topology optimization: state-of-the-art and challenges

S Mukherjee, D Lu, B Raghavan, P Breitkopf… - … Methods in Engineering, 2021 - Springer
Large-scale structural topology optimization has always suffered from prohibitively high
computational costs that have till date hindered its widespread use in industrial design. The …

[图书][B] Topology optimization: theory, methods, and applications

MP Bendsoe, O Sigmund - 2013 - books.google.com
" The art of structure is where to put the holes" Robert Le Ricolais, 1894-1977 This is a
completely revised, updated and expanded version of the book titled" Optimization of …

[图书][B] Computational optimization of systems governed by partial differential equations

A Borzì, V Schulz - 2011 - SIAM
This book provides an introduction to some modern computational techniques for
optimization problems governed by partial differential equations (PDEs). The optimization …

[图书][B] Optimale Steuerung partieller Differentialgleichungen

F Tröltzsch - 2005 - Springer
Die mathematische Optimierung von Vorgängen, die durch partielle Differentialgleichungen
modelliert werden, hat in den letzten Jahren einen beachtlichen Aufschwung genommen …

On multigrid-CG for efficient topology optimization

O Amir, N Aage, BS Lazarov - Structural and Multidisciplinary Optimization, 2014 - Springer
This article presents a computational approach that facilitates the efficient solution of 3-D
structural topology optimization problems on a standard PC. Computing time associated with …

[图书][B] Optimization of finite dimensional structures

M Ohsaki - 2016 - books.google.com
With an emphasis on real-world problems, this book reviews the basics of optimization of
frame structures such as trusses, building frames, and long-span trusses. It introduces …

Phase-field relaxation of topology optimization with local stress constraints

M Burger, R Stainko - SIAM Journal on Control and Optimization, 2006 - SIAM
We introduce a new relaxation scheme for structural topology optimization problems with
local stress constraints based on a phase-field method. In the basic formulation we have a …

Multigrid methods for PDE optimization

A Borzi, V Schulz - SIAM review, 2009 - SIAM
Research on multigrid methods for optimization problems is reviewed. Optimization
problems considered include shape design, parameter optimization, and optimal control …

A modified leaky ReLU scheme (MLRS) for topology optimization with multiple materials

Y Liu, X Wang, L Wang, D Liu - Applied Mathematics and Computation, 2019 - Elsevier
Based on the leaky rectified linear unit (ReLU) function, the paper proposes a modified leaky
ReLU scheme (MLRS) for topology optimization with multiple materials. A continuous …