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The h-p version of the finite element method

Part 1: The basic approximation results

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Abstract

The paper is the first of the series of two which analyses the h-p version of the finite element method in two dimensions. It proves the basic approximation results which in part 2 will be generalized and applied in a computational setting. The main result is that the h-p version leads to an exponential rate of convergence when solving problems with piecewise analytic data.

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References

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Authors and Affiliations

  1. Institute for Physical Science and Technology, University of Maryland, 20742, College Park, MD, USA

    B. Guo & I. Babuška

Authors
  1. B. Guo
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  2. I. Babuška
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Additional information

Communicated by S.N. Atluri, August 4, 1985

Supported by the NSF Grant DMS-8315216

Partially supported by ONR Contract N00014-85-K-0169

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Guo, B., Babuška, I. The h-p version of the finite element method. Computational Mechanics 1, 21–41 (1986). https://doi.org/10.1007/BF00298636

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