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, "Parallel Multilevel Preconditioners for Thin Shell Problems", in B.H.V. Topping, (Editor), "Advances in Computational Mechanics for Parallel and Distributed Processing", Civil-Comp Press, Edinburgh, UK, pp 155-169, 1997. doi:10.4203/ccp.45.5.3

Abstract

In recent years multilevel preconditioners like BPX and multilevel diagonal scaling (MDS) became increasingly popular for solving second-order elliptic finite element discretizations by conjugate gradient methods.

In this paper we adapt these preconditioners for elasticity problems of smoth, thin shells based on the linear model of Koiter. We use the discretization by Bogner-Fox-Schmidt elements. The parallelization concept is based on a non-overlapping domain decomposition data structure. The implementation of the multilevel preconditioners is described.

Finally, we show numerical results for some classes of shells like plates, cylinders, and hyperboloids.

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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: 45 ADVANCES IN COMPUTATIONAL MECHANICS FOR PARALLEL AND DISTRIBUTED PROCESSING Edited by: B.H.V. Topping Paper V.3 Parallel Multilevel Preconditioners for Thin Shell Problems M. Theß Faculty of Mathematics, Technical University of Chemnitz-Zwickau, Chemnitz, Germany doi:10.4203/ccp.45.5.3 purchase the full-text of this paper Full Bibliographic Reference for this paper , "Parallel Multilevel Preconditioners for Thin Shell Problems", in B.H.V. Topping, (Editor), "Advances in Computational Mechanics for Parallel and Distributed Processing", Civil-Comp Press, Edinburgh, UK, pp 155-169, 1997. doi:10.4203/ccp.45.5.3 Abstract In recent years multilevel preconditioners like BPX and multilevel diagonal scaling (MDS) became increasingly popular for solving second-order elliptic finite element discretizations by conjugate gradient methods. In this paper we adapt these preconditioners for elasticity problems of smoth, thin shells based on the linear model of Koiter. We use the discretization by Bogner-Fox-Schmidt elements. The parallelization concept is based on a non-overlapping domain decomposition data structure. The implementation of the multilevel preconditioners is described. Finally, we show numerical results for some classes of shells like plates, cylinders, and hyperboloids. 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 £66 +P&P)
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