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Anisotropic error estimates for an interpolant defined via moments

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Summary

An interpolant defined via moments is investigated for triangles, quadrilaterals, tetrahedra, and hexahedra and arbitrarily high polynomial degree. The elements are allowed to have diameters with different asymptotic behavior in different space directions. Anisotropic interpolation error estimates are proved.

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Authors and Affiliations

  1. Instituto de Ciencias, Universidad Nacional de General Sarmiento, Los Polvorines, Provincia de Buenos Aires, Argentina

    G. Acosta

  2. Institut für Mathematik und Bauinformatik, Universität der Bundeswehr München, Neubiberg, Germany

    Thomas Apel

  3. Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina

    R. G. Durán & A. L. Lombardi

Authors
  1. G. Acosta
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  2. Thomas Apel
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  3. R. G. Durán
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  4. A. L. Lombardi
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Correspondence to Thomas Apel.

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Acosta, G., Apel, T., Durán, R.G. et al. Anisotropic error estimates for an interpolant defined via moments. Computing 82, 1–9 (2008). https://doi.org/10.1007/s00607-008-0259-1

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  • DOI: https://doi.org/10.1007/s00607-008-0259-1

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