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Domain Decomposition and hp-Adaptive Finite Elements

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Domain Decomposition Methods in Science and Engineering XIX

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 78))

Abstract

In this work, we report on an ongoing project to implement an hp-adaptive finite element method. The inspiration of this work came from the development of certain a posteriori error estimates for high order finite elements based on superconvergence [7–9].We wanted to create an environment where these estimates could be evaluated in terms of their ability to estimate global errors for a wide range of problems, and to be used as the basis for adaptive enrichment algorithms.

* The work of this author was supported by the U.S. National Science Foundation under contract DMS-0915220. The Beowulf cluster used for the numerical experiments was funded by NSF SCREMS-0619173.

† The work of this author was supported in part by a grant from the Vietnam Education Foundation (VEF).

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Bibliography

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, San Diego, La Jolla, CA, 92093-0112, USA

    Randolph E. Bank* & Hieu Nguyen†

Authors
  1. Randolph E. Bank*
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  2. Hieu Nguyen†
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Corresponding author

Correspondence to Randolph E. Bank* .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, Xiangtan University, Xiangtan, 411105, China, People's Republic

    Yunqing Huang

  2. FB Mathematik und Informatik, Freie Universität Berlin, Arnimallee 6, Berlin, 14195, Berlin, Germany

    Ralf Kornhuber

  3. Department of Mathematics, Courant Institute of Math. Sciences, New York University, Mercer St. 251, New York, 10012, New York, USA

    Olof Widlund

  4. Eberly College of Science, Dept. Mathematics, Pennsylvania State University, University Park, 16802, Pennsylvania, USA

    Jinchao Xu

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Bank*, R.E., Nguyen†, H. (2011). Domain Decomposition and hp-Adaptive Finite Elements. In: Huang, Y., Kornhuber, R., Widlund, O., Xu, J. (eds) Domain Decomposition Methods in Science and Engineering XIX. Lecture Notes in Computational Science and Engineering, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11304-8_1

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