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Data structures and concepts for adaptive finite element methods

Datenstrukturen und Strategien für adaptive Finite Elemente

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Abstract

The administration of strongly nonuniform, adaptively generated finite element meshes requires specialized techniques and data structures. A special data structure of this kind is described in this paper. It relies on points, edges and triangles as basic structures and is especially well suited for the realization of iterative solvers like the hierarchical basis or the multilevel nodal basis method.

Zusammenfassung

Für die Verwaltung von extrem nichtuniformen, adaptiv erzeugten Finite element Gittern benötigt man spezielle Techniken und Datenstrukturen. Eine Datenstruktur dieser Art wird in diesem Artikel beschrieben. Basisstrukturen sind Punkte, Kanten und Dreiecke. Die Datenstruktur ist besonders zugeschnitten auf iterative Löser wie die hierarchische Basis oder die “multilevel nodal basis” Methode.

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  1. Mathematisches Institut, Auf der Morgenstelle 10, D-72076, Tübingen, Federal Republic of Germany

    P. Leinen

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Leinen, P. Data structures and concepts for adaptive finite element methods. Computing 55, 325–354 (1995). https://doi.org/10.1007/BF02238486

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