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Error bounds for minimal energy bivariate polynomial splines

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Summary.

We derive error bounds for bivariate spline interpolants which are calculated by minimizing certain natural energy norms.

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Authors and Affiliations

  1. Institut für Angewandte Mathematik und Statistik der Universität Würzburg, 97074 Würzburg, Germany; e-mail: goli@mathematik.uni-wuerzburg.de , , , , , , DE

    Manfred von Golitschek

  2. Department of Mathematics, The University of Georgia, Athens, GA 30602, USA; e-mail: mjlai@math.uga.edu , , , , , , US

    Ming-Jun Lai

  3. Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA; e-mail: s@mars.cas.vanderbilt.edu , , , , , , US

    Larry L. Schumaker

Authors
  1. Manfred von Golitschek
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  2. Ming-Jun Lai
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  3. Larry L. Schumaker
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Additional information

Received March 28, 2000 / Revised version received June 23, 2000 / Published online March 8, 2002

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ID="*" Supported by the National Science Foundation under grant DMS-9870187

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ID="**" Supported by the National Science Foundation under grant DMS-9803340 and by the Army Research Office under grant DAAD-19-99-1-0160

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von Golitschek, M., Lai, MJ. & Schumaker, L. Error bounds for minimal energy bivariate polynomial splines. Numer. Math. 93, 315–331 (2002). https://doi.org/10.1007/s002110100381

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  • DOI: https://doi.org/10.1007/s002110100381

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