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An adaptive pNh‐technique for global‐local finite element analysis

Kerstin Weinberg (Otto‐von‐Guericke‐Universitat Magdeburg, Institute of Mechanics, Magdeburg, Germany)
Ulrich Gabbert (Otto‐von‐Guericke‐Universitat Magdeburg, Institute of Mechanics, Magdeburg, Germany)

Engineering Computations

ISSN: 0264-4401

Article publication date: 1 August 2002

511

Abstract

The paper presents a new technique for a compatible transition from a h‐refined to a p‐refined finite element mesh. At one or more faces of particularly designed pNh‐transition elements a low order h‐discretization may be combined with a usual p‐mesh in the other parts of the elements. The pNh‐elements are conform finite elements which can be applied in an adaptive scheme controlled by a residue based error estimate. Typical applications which require strongly a local mesh refinement within a p‐finite element mesh are, e.g. the approximation of high gradients and the determination of contact areas. Numerical examples demonstrate the efficiency of the pNh‐element technique for such problems.

Keywords

Citation

Weinberg, K. and Gabbert, U. (2002), "An adaptive pNh‐technique for global‐local finite element analysis", Engineering Computations, Vol. 19 No. 5, pp. 485-500. https://doi.org/10.1108/02644400210435825

Publisher

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MCB UP Ltd

Copyright © 2002, MCB UP Limited

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