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h andh-p version error estimation and adaptive procedures from theory to practice

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Abstract

In this paper we introduce techniques that allow us to define a posteriori error estimators via well-known recovery techniques. These allow us to construct a posteriori error estimators for relatively general problems. Further, we introduce new adaptive procedures that make use of these estimators and, in particular, describe anh-p procedure that is simple to implement and that, as numerical experiments have shown, attains an accelerated rate of convergence expected from theh-p version.

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Authors and Affiliations

  1. Department of Mathematics, University of Durham, Science Laboratories, South Road, DH1 3LE, Durham, England

    A. W. Craig

  2. Department of Mathematics, University of Lancaster, Lancaster, England

    M. Ainsworth

  3. Department of Civil Engineering, University College of Swansea, Singleton Park, Swansea, Wales

    J. Z. Zhu & O. C. Zienkiewicz

Authors
  1. A. W. Craig
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  2. M. Ainsworth
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  3. J. Z. Zhu
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  4. O. C. Zienkiewicz
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Craig, A.W., Ainsworth, M., Zhu, J.Z. et al. h andh-p version error estimation and adaptive procedures from theory to practice. Engineering with Computers 5, 221–234 (1989). https://doi.org/10.1007/BF02274214

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