Block Conjugate Gradient Iteration for Fourier-Galerkin Homogenization of Periodic Media

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F15%3A00233173" target="_blank" >RIV/68407700:21110/15:00233173 - isvavai.cz</a>
Result on the web
<a href="http://onlinelibrary.wiley.com/doi/10.1002/pamm.201510222" target="_blank" >http://onlinelibrary.wiley.com/doi/10.1002/pamm.201510222</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/pamm.201510222" target="_blank" >10.1002/pamm.201510222</a>

Result language
angličtina
Original language name
Block Conjugate Gradient Iteration for Fourier-Galerkin Homogenization of Periodic Media
Original language description
The Fourier-Galerkin method is considered here for the solution of the unit cell problem that describes the homogenized properties of periodic materials in the scalar elliptic setting. The method is based on a Galerkin approximation with trigonometric polynomials and leads to linear systems suitable for iterative solvers. In [1], Zeman et al show the effectiveness of Conjugate gradients (CG) which is compared here with its block version (BCG). We show that the latter version outperforms the CG especially for anisotropic materials with non-symmetric distribution of material properties.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/EE2.3.30.0034" target="_blank" >EE2.3.30.0034: Support of inter-sectoral mobility and quality enhancement of research teams at Czech Technical University in Prague</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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