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Splines on Triangulations with Hanging Vertices

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Constructive Approximation Aims and scope

Abstract

Polynomial spline spaces defined on triangulations with hanging vertices are studied. In addition to dimension formulae, explicit basis functions are constructed, and their supports and stability are discussed. The approximation power of the spaces is also treated.

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Acknowledgements

We would like to thank the referees for several useful comments.

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Authors and Affiliations

  1. Department of Mathematics, Vanderbilt University, Nashville, TN, 37240, USA

    Larry L. Schumaker & Lujun Wang

Authors
  1. Larry L. Schumaker
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  2. Lujun Wang
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Correspondence to Larry L. Schumaker.

Additional information

Communicated by Wolfgang Dahmen.

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Schumaker, L.L., Wang, L. Splines on Triangulations with Hanging Vertices. Constr Approx 36, 487–511 (2012). https://doi.org/10.1007/s00365-012-9167-x

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  • DOI: https://doi.org/10.1007/s00365-012-9167-x

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