Multiscale finite-element-method

E. Rank, R. Krause

Research output: Contribution to conferencePaperpeer-review

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.

Original languageEnglish
Pages69-75
Number of pages7
StatePublished - 1994
Externally publishedYes
EventProceedings of the 2nd International Conference on Computational Structures Technology. Part 1 (of 4) - Athens, Greece
Duration: 30 Aug 19941 Sep 1994

Conference

ConferenceProceedings of the 2nd International Conference on Computational Structures Technology. Part 1 (of 4)
CityAthens, Greece
Period30/08/941/09/94

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