Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 315, Issue -, Pages 846-866Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2016.11.004
Keywords
Computational homogenization; FFT; Accelerated first order methods; Plasticity
Funding
- Deutsche Forschungsgemeinschaft (DFG) [AN 341/9-1]
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Building upon the previously established equivalence of the basic scheme of Moulinec Suquet's FFT-based computational homogenization method with a gradient descent method, this work concerns the impact of the fast gradient method of Nesterov in the context of computational homogenization. Nesterov's method leads to a significant speed up compared to the basic scheme for linear problems with moderate contrast, and compares favorably to the (Newton -)conjugate gradient (CG) method for problems in digital rock physics and (small strain) elastoplasticity. We present an efficient implementation requiring twice the storage of the basic scheme, but only half of the storage of the CG method. (C) 2016 Elsevier B.V. All rights reserved.
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