.. FFTHomPy documentation master file, created by sphinx-quickstart on Fri Jan 23 17:52:11 2015. You can adapt this file completely to your liking, but it should at least contain the root `toctree` directive. Welcome to FFTHomPy's documentation! ==================================== *FFTHomPy* is a Python implementation of FFT-based homogenization based on following papers: * \J. Zeman, T. W. J. de Geus, J. Vondřejc, R. H. J. Peerlings, and M. G. D. Geers: A finite element perspective on non-linear FFT-based micromechanical simulations. 111 (10), pp. 903-926, 2017. arXiv:1601.05970 * \N. Mishra, J. Vondřejc, J. Zeman: A comparative study on low-memory iterative solvers for FFT-based homogenization of periodic media, *Journal of Computational Physics*, 321, pp. 151-168, 2016. arXiv: 1508.02045 * \J. Vondřejc: Improved guaranteed computable bounds on homogenized properties of periodic media by Fourier-Galerkin Method with exact integration, *International Journal for Numerical Methods in Engineering*, 107 (13), pp.~1106-1135, 2016. arXiv:1412.2033 * \J. Vondřejc, J. Zeman, I. Marek: Guaranteed upper-lower bounds on homogenized properties by FFT-based Galerkin method, *Comuter methods in Applied Mechanics and Engineering*, 297, pp.~258-291, 2015. arXiv:1404.3614 * \J. Vondřejc, J. Zeman, I. Marek: An FFT-based Galerkin method for homogenization of periodic media, *Computers and Mathematics with Applications*, 68, pp. 156-173, 2014. arXiv:1311.0089 * \J. Zeman, J. Vondřejc, J. Novák and I. Marek Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients, *Journal of Computational Physics*, 229 (21), pp.~8065-8071, 2010. arXiv:1004.1122. License: `MIT `_ News: ----- The software now contains tutorials in folder '/tutorial', which also contains implementation of the method based on exact integration. Links: ------ * Source code - git repository: https://github.com/vondrejc/FFTHomPy.git Contents: --------- .. toctree:: :maxdepth: 3 users_guide