FFT-Based Solution Schemes for the Unit Cell Problem in Periodic Homogenization of Magneto-Elastic Coupling

DOI10.1007/978-3-030-55874-1_29zbMath1470.78008OpenAlexW3159707906MaRDI QIDQ5152818

Felix Dietrich

Publication date: 27 September 2021

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-55874-1_29

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Cites Work

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• Efficient fixed point and Newton-Krylov solvers for FFT-based homogenization of elasticity at large deformations
• Microstructural effects in elastic composites
• On a saddle point problem arising from magneto-elastic coupling
• A numerical method for computing the overall response of nonlinear composites with complex microstructure
• FFT-based homogenization on periodic anisotropic translation invariant spaces
• An FFT-based Galerkin method for homogenization of periodic media
• Homogenization and Two-Scale Convergence

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