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J. Kruis, J. Novák and M. Doškár

Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Czech Republic

doi:10.4203/ccp.107.6

, "Microstructure Compression and Reconstruction Techniques based on Schur Complements", in , (Editors), "Proceedings of the Fourth International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 6, 2015. doi:10.4203/ccp.107.6

Keywords: microstructure compression and reconstruction, Wang tiles, Schur complement method, conjugate gradient method.

Summary

Microstructure representation and reconstruction of stochastic realizations of the compressed microstructure without prior periodic assumptions can be done with the help of the Wang tiling proposed in 1961. A set of tiles is generated and the tiles are used in tilings of arbitrary size. The tiles are covered by finite element meshes and they resemble macro-elements or subdomains. The internal degrees of freedom of tiles are eliminated and the Schur complement matrices are used instead of the matrices of the whole tiles. Moreover, the method can be relatively easily and very efficiently implemented in parallel and very good speedup is obtained. Preliminary numerical experiments confirm good performance.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 107 PROCEEDINGS OF THE FOURTH INTERNATIONAL CONFERENCE ON PARALLEL, DISTRIBUTED, GRID AND CLOUD COMPUTING FOR ENGINEERING Edited by: Paper 6 Microstructure Compression and Reconstruction Techniques based on Schur Complements J. Kruis, J. Novák and M. Doškár Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Czech Republic doi:10.4203/ccp.107.6 purchase the full-text of this paper Full Bibliographic Reference for this paper , "Microstructure Compression and Reconstruction Techniques based on Schur Complements", in , (Editors), "Proceedings of the Fourth International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 6, 2015. doi:10.4203/ccp.107.6 Keywords: microstructure compression and reconstruction, Wang tiles, Schur complement method, conjugate gradient method. Summary Microstructure representation and reconstruction of stochastic realizations of the compressed microstructure without prior periodic assumptions can be done with the help of the Wang tiling proposed in 1961. A set of tiles is generated and the tiles are used in tilings of arbitrary size. The tiles are covered by finite element meshes and they resemble macro-elements or subdomains. The internal degrees of freedom of tiles are eliminated and the Schur complement matrices are used instead of the matrices of the whole tiles. Moreover, the method can be relatively easily and very efficiently implemented in parallel and very good speedup is obtained. Preliminary numerical experiments confirm good performance. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £45 +P&P)
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