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Locally linearly independent bases for bivariate polynomial spline spaces

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Abstract

Locally linearly independent bases are constructed for the spaces S r d (⩾) of polynomial splines of degree d≥3r+2 and smoothness r defined on triangulations, as well as for their superspline subspaces.

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Authors and Affiliations

  1. Mathematical Institute, Justus Liebig University, D-35392, Giessen, Germany E-mail

    Oleg Davydov

  2. Department of Mathematics, Vanderbilt University, Nashville, TN, 37240, USA E-mail

    Larry L. Schumaker

Authors
  1. Oleg Davydov
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  2. Larry L. Schumaker
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Davydov, O., Schumaker, L.L. Locally linearly independent bases for bivariate polynomial spline spaces. Advances in Computational Mathematics 13, 355–373 (2000). https://doi.org/10.1023/A:1016626526861

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