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De Rham diagram for hp finite element spaces

✍ Scribed by L. Demkowicz; P. Monk; L. Vardapetyan; W. Rachowicz

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
626 KB
Volume
39
Category
Article
ISSN
0898-1221

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✦ Synopsis

We prove that the hp finite elements for H(curl) spaces, introduced in [1], fit into a general de Rham diagram involving hp approximations. The corresponding interpolation operators generalize the notion of hp interpolation introduced in [2] and are different from the classical operators of Nedelec and Raviart-Thomas. (~) 2000 Elsevier Science Ltd. All rights reserved.

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## Abstract Two efficiency‐based grid refinement strategies are investigated for adaptive finite element solution of partial differential equations. In each refinement step, the elements are ordered in terms of decreasing local error, and the optimal fraction of elements to be refined is determined