Open access
Date
1996-01Type
- Report
ETH Bibliography
yes
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Abstract
The paper presents the basic ideas and the mathematical foundation of the partition of unity finite element method (PUFEM). We will show how the PUFEM can be used to employ the structure of the differential equation under consideration to construct effective and robust methods. Although the method and its theory are valid in emn/em dimensions, a detailed and illustrative analysis will be given for a one dimensional model problem. We identify some classes of non-standard problems which can profit highly from the advantages of the PUFEM and conclude this paper with some open questions concerning implementational aspects of the PUFEM. Show more
Permanent link
https://doi.org/10.3929/ethz-a-004284735Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichSubject
Finite element method; meshless finite element method; robust finite element methods; finite element methods for highly oscillatory solutionsOrganisational unit
02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics
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ETH Bibliography
yes
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