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S. Lopez* and S. Fortino#

*Institute of Construction Science, University of Bologna, Bologna, Italy
#Department of Structures, University of Calabria, Italy

doi:10.4203/ccp.39.2.4

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S. Lopez, S. Fortino, "An Adaptive Multigrid Algorithm for Finite Element Analysis of Plates", in B.H.V. Topping, (Editor), "Advances in Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 71-77, 1996. doi:10.4203/ccp.39.2.4

Abstract

This paper describes a multigrid algorithm based on adaptive generation of the sequence of meshes required by the process. Nonuniform discretization is obtained by finer meshes confined to a progressively smaller subdomain. The meshes are generated through bisection refinement according to a local error indicator. A suitable dynamic data structure for C implementations and a technique for irregular node detection which leaves the multigrid procedures unvaried (transfer, residual computation, assembly on levels) are developed for the implementation of these multigrid solvers. Several numerical examples with bilinear and HC finite elements are presented.

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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: 39 ADVANCES IN FINITE ELEMENT TECHNOLOGY Edited by: B.H.V. Topping Paper II.4 An Adaptive Multigrid Algorithm for Finite Element Analysis of Plates S. Lopez* and S. Fortino# *Institute of Construction Science, University of Bologna, Bologna, Italy #Department of Structures, University of Calabria, Italy doi:10.4203/ccp.39.2.4 purchase the full-text of this paper Full Bibliographic Reference for this paper S. Lopez, S. Fortino, "An Adaptive Multigrid Algorithm for Finite Element Analysis of Plates", in B.H.V. Topping, (Editor), "Advances in Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 71-77, 1996. doi:10.4203/ccp.39.2.4 Abstract This paper describes a multigrid algorithm based on adaptive generation of the sequence of meshes required by the process. Nonuniform discretization is obtained by finer meshes confined to a progressively smaller subdomain. The meshes are generated through bisection refinement according to a local error indicator. A suitable dynamic data structure for C implementations and a technique for irregular node detection which leaves the multigrid procedures unvaried (transfer, residual computation, assembly on levels) are developed for the implementation of these multigrid solvers. Several numerical examples with bilinear and HC finite elements are presented. 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 £85 +P&P)
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