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Dual Compatible Splines on Nontensor Product Meshes

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Approximation Theory XIV: San Antonio 2013

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 83))

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Abstract

In this paper we introduce the concept of dual compatible (DC) splines on nontensor product meshes, study the properties of this class, and discuss their possible use within the isogeometric framework. We show that DC splines are linear independent and that they also enjoy good approximation properties.

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università di Milano, via Saldini 50, 20133, Milano, Italy

    L. Beirão da Veiga

  2. Istituto di Matematica Applicata e Tecnologie Informatiche ‘E. Magenes’ del CNR, via Ferrata 1, 27100, Pavia, Italy

    A. Buffa & R. Vázquez

  3. Dipartimento di Matematica, Università di Pavia, via Ferrata 1, 27100, Pavia, Italy

    G. Sangalli

Authors
  1. L. Beirão da Veiga
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  2. A. Buffa
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  3. G. Sangalli
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  4. R. Vázquez
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Corresponding author

Correspondence to L. Beirão da Veiga .

Editor information

Editors and Affiliations

  1. Department of Applied Mathematics, Illinois Institute of Technology, Chicago, Illinois, USA

    Gregory E. Fasshauer

  2. Department of Mathematics, Vanderbilt University, Nashville, Tennessee, USA

    Larry L. Schumaker

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© 2014 Springer International Publishing Switzerland

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da Veiga, L.B., Buffa, A., Sangalli, G., Vázquez, R. (2014). Dual Compatible Splines on Nontensor Product Meshes. In: Fasshauer, G., Schumaker, L. (eds) Approximation Theory XIV: San Antonio 2013. Springer Proceedings in Mathematics & Statistics, vol 83. Springer, Cham. https://doi.org/10.1007/978-3-319-06404-8_2

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