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E. Rank and R. Krause

Numerische Methoden und Informationsverarbeitung, Universität Dortmund, Dortmund-Eichlinghofen, Germany

doi:10.4203/ccp.21.2.3

E. Rank, R. Krause, "A Multiscale Finite-Element-Method", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Post and Preprocessing for Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 69-75, 1994. doi:10.4203/ccp.21.2.3

Abstract

The paper describes a hierarchical overlay of a p-version finite element approximation on a coarse mesh and an h-approximation on a geometrically independent fine mesh. The length scales of the local problem may be some orders of magnitude below the scale of the global problem. Despite the incompatibility of the meshes used, continuity can easily be guaranteed in the proposed method. The paper shows, how finite element meshes can be constructed adaptively on the local and the global meshes. It is demonstrated how a block-iteration allows a simple and efficient implementation of the method. Typical fields of application and the efficiency of the method are shown in a numerical example.

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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: 21 ADVANCES IN POST AND PREPROCESSING FOR FINITE ELEMENT TECHNOLOGY Edited by: M. Papadrakakis and B.H.V. Topping Paper II.3 A Multiscale Finite-Element-Method E. Rank and R. Krause Numerische Methoden und Informationsverarbeitung, Universität Dortmund, Dortmund-Eichlinghofen, Germany doi:10.4203/ccp.21.2.3 purchase the full-text of this paper Full Bibliographic Reference for this paper E. Rank, R. Krause, "A Multiscale Finite-Element-Method", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Post and Preprocessing for Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 69-75, 1994. doi:10.4203/ccp.21.2.3 Abstract The paper describes a hierarchical overlay of a p-version finite element approximation on a coarse mesh and an h-approximation on a geometrically independent fine mesh. The length scales of the local problem may be some orders of magnitude below the scale of the global problem. Despite the incompatibility of the meshes used, continuity can easily be guaranteed in the proposed method. The paper shows, how finite element meshes can be constructed adaptively on the local and the global meshes. It is demonstrated how a block-iteration allows a simple and efficient implementation of the method. Typical fields of application and the efficiency of the method are shown in a numerical example. 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 £60 +P&P)
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