NDLI: Refinement strategies in adaptive meshing

Content Provider	IEEE Xplore Digital Library
Author	Fernandes, P. Girdinio, P. Repetto, M. Secondo, G.
Copyright Year	1965
Abstract	Two strategies for reducing the overall number of finite-element computations needed in an adaptive meshing algorithm are proposed. In the first strategy (called two-threshold refinement), numerical values of the estimated local error are used both to select the elements to be refined and to decide into how may new elements each of them will be subdivided. In the second strategy (called refinement with solution estimation), a solution approximation and its local error on a mesh are estimated from a previous approximation solution. For both methods the required algorithms are presented and the results obtained are compared and discussed. The refinement with solution estimation gives a significant improvement with respect to the usual single threshold refinement method. The two-threshold refinement strategy, even though it has produced errors not always greater than those produced by the single-threshold refinement method, has proven to be worse in general. This result has confirmed the importance of performing Delaunay triangulation each time an element is subdivided.<>
Sponsorship	IEEE Magnetics Society
Starting Page	1739
Ending Page	1742
Page Count	4
File Size	313834
File Format	PDF
ISSN	00189464
Volume Number	28
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1992-03-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Finite element methods Mesh generation Error analysis
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering

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