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The research aims to evaluate the properties and effectiveness of wavelet discretizations in FFT-based computational micromechanics, specifically in three dimensions.

February 21, 2026Computational MechanicsOpen Access

Limitations and merits of wavelet discretizations in FFT-based computational micromechanics

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Authors

MDMohit DaveUniversity of Duisburg-Essen ÉDÉlodie DonvalInstitut polytechnique de Grenoble MSMatti SchneiderFraunhofer Institute for Industrial Mathematics

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Analyzes the effectiveness of wavelet discretizations in three-dimensional micromechanics, indicating important convergence properties.

Key Points

The research aims to evaluate the properties and effectiveness of wavelet discretizations in FFT-based computational micromechanics, specifically in three dimensions.
Analyzed Deslauriers–Dubuc wavelets of degrees one to four
Compared wavelet methods to established FFT-based homogenization frameworks
Conducted numerical studies on regular grids
Assessed convergence behavior of Lippmann-Schwinger solvers
Studied performance for inelastic constituents
First-order DD wavelets ensure stable convergence for porous microstructures
Demonstrated benefits of local adaptivity in 1D and 2D cases
Identified convergence behavior relevant to emerging macroscopic properties

Cite This Study

Dave et al. (2026) studied this question.

synapsesocial.com/papers/69994c6f873532290d020d8b https://doi.org/10.1007/s00466-026-02752-3

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Limitations and merits of wavelet discretizations in FFT-based computational micromechanics

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Key Points

Cite This Study

Limitations and merits of wavelet discretizations in FFT-based computational micromechanics

Discussion

Member takes

Implication

Key Points

Cite This Study

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