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On non‐stationary polarization methods in FFT‐based computational micromechanics

Matti Schneider

2021International Journal for Numerical Methods in Engineering24 citationsDOIOpen Access PDF

Abstract

Abstract Polarization‐type methods are among the fastest solution methods for FFT‐based computational micromechanics. However, their performance depends critically on the choice of the reference material. Only for finitely contrasted materials, optimum‐selection strategies are known. This work focuses on adaptive strategies for choosing the reference material, details their efficient implementation, and investigates the computational performance. The case of porous materials is explicitly included. As a byproduct, we introduce a suitable convergence criterion that permits a fair comparison to strain‐based FFT solvers and Eyre–Milton type implementations.

Topics & Concepts

MicromechanicsFast Fourier transformImplementationComputer scienceConvergence (economics)Polarization (electrochemistry)AlgorithmComputational scienceMathematical optimizationComputer engineeringMathematicsProgramming languagePhysical chemistryChemistryEconomic growthComposite numberEconomicsComposite Material MechanicsNumerical methods in engineeringAdvanced Numerical Methods in Computational Mathematics
On non‐stationary polarization methods in FFT‐based computational micromechanics | Litcius