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A note on the design of hp-adaptive finite element methods for elliptic partial differential equations

Abstract:
We introduce an hp-adaptive finite element algorithm based on a combination of reliable and efficient residual error indicators and a new hp-extension control technique which assesses the local regularity of the underlying analytical solution on the basis of its local Legendre series expansion. Numerical experiments confirm the robustness and reliability of the proposed algorithm. © 2004 by Elsevier B.V. All rights reserved.

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Publisher copy:
10.1016/j.cma.2004.04.009

Authors


Journal:
Computer Methods in Applied Mechanics and Engineering
Volume:
194
Issue:
2-5 SPEC. ISS.
Pages:
229-243
Publication date:
2005-02-04
DOI:
ISSN:
0045-7825
URN:
uuid:f047f451-dec1-4e30-aa9b-1710b4d40fb2
Source identifiers:
189695
Local pid:
pubs:189695

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