Journal article

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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APA Style

Houston, P., & Süli, E. (2005). A note on the design of hp-adaptive finite element methods for elliptic partial differential equations. Computer Methods in Applied Mechanics and Engineering, 194(2-5 SPEC. ISS.), 229–243.

MLA Style

Houston, P, and E Süli. “A Note on the Design of Hp-Adaptive Finite Element Methods for Elliptic Partial Differential Equations.” Computer Methods in Applied Mechanics and Engineering, vol. 194, no. 2-5 SPEC. ISS., 2005, pp. 229–43.

Chicago Style

Houston, P, and E Süli. 2005. “A Note on the Design of Hp-Adaptive Finite Element Methods for Elliptic Partial Differential Equations.” Computer Methods in Applied Mechanics and Engineering 194 (2-5 SPEC. ISS.): 229–43.
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Publisher copy:: 10.1016/j.cma.2004.04.009

Authors

+ Houston, P More by this author

Role:: Author

+ Süli, E More by this author

Role:: Author

Journal:: Computer Methods in Applied Mechanics and Engineering More from this journal
Volume:: 194
Issue:: 2-5 SPEC. ISS.
Pages:: 229-243
Publication date:: 2005-02-04
DOI:: 10.1016/j.cma.2004.04.009
ISSN:: 0045-7825

Language:: English
Keywords:: A posteriori error analysis

Adaptivity

hp-finite element methods
Pubs id:: pubs:189695
UUID:: uuid:f047f451-dec1-4e30-aa9b-1710b4d40fb2
Local pid:: pubs:189695
Source identifiers:: 189695
Deposit date:: 2012-12-19
ARK identifier:: ark:/29072/ora_f047f451dec14e30aa9b1710b4d40fb2

Terms of use

Copyright date:: 2005

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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