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  • The focus of this paper is on the analysis of the Conjugate Gradient method applied to a non-symmetric system of linear equations, arising from a Fast Fourier Transform-based homogenization method due to Moulinec and Suquet [1]. Convergence of the method is proven by exploiting a certain projection operator reflecting physics of the underlying problem. These results are supported by a numerical example, demonstrating significant improvement of the Conjugate Gradient-based scheme over the original Moulinec-Suquet algorithm.
  • The focus of this paper is on the analysis of the Conjugate Gradient method applied to a non-symmetric system of linear equations, arising from a Fast Fourier Transform-based homogenization method due to Moulinec and Suquet [1]. Convergence of the method is proven by exploiting a certain projection operator reflecting physics of the underlying problem. These results are supported by a numerical example, demonstrating significant improvement of the Conjugate Gradient-based scheme over the original Moulinec-Suquet algorithm. (en)
Title
  • Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials
  • Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials (en)
skos:prefLabel
  • Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials
  • Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials (en)
skos:notation
  • RIV/68407700:21110/12:00188282!RIV14-MSM-21110___
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  • P(GA103/09/1748), P(GP103/09/P490), S
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  • 122075
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  • RIV/68407700:21110/12:00188282
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  • Homogenization; Fast Fourier Transform; Conjugate Gradients (en)
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  • [79B41517A65F]
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  • Sozopol
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  • Berlin
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  • Large-Scale Scientific Computing: Revised Selected Papers
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  • Marek, Ivo
  • Vondřejc, Jaroslav
  • Zeman, Jan
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issn
  • 0302-9743
number of pages
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  • 10.1007/978-3-642-29843-1
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  • Springer-Verlag
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  • 978-3-642-29842-4
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  • 21110
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